{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,21]],"date-time":"2026-02-21T18:12:47Z","timestamp":1771697567480,"version":"3.50.1"},"publisher-location":"Cham","reference-count":85,"publisher":"Springer International Publishing","isbn-type":[{"value":"9783319111728","type":"print"},{"value":"9783319111735","type":"electronic"}],"license":[{"start":{"date-parts":[[2014,11,2]],"date-time":"2014-11-02T00:00:00Z","timestamp":1414886400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2014,11,2]],"date-time":"2014-11-02T00:00:00Z","timestamp":1414886400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2015]]},"DOI":"10.1007\/978-3-319-11173-5_20","type":"book-chapter","created":{"date-parts":[[2014,11,1]],"date-time":"2014-11-01T13:19:13Z","timestamp":1414847953000},"page":"549-569","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":86,"title":["Hybrid Synchronization of Identical Chaotic Systems Using Sliding Mode Control and an Application to Vaidyanathan Chaotic Systems"],"prefix":"10.1007","author":[{"given":"Sundarapandian","family":"Vaidyanathan","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ahmad Taher","family":"Azar","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2014,11,2]]},"reference":[{"issue":"4","key":"20_CR1","doi-asserted-by":"publisher","first-page":"573","DOI":"10.1007\/BF01209312","volume":"79","author":"A Arneodo","year":"1981","unstructured":"Arneodo, A., Coullet, P., Tresser, C.: Possible new strange attractors with spiral structure. Common. Math. Phys. 79(4), 573\u2013576 (1981)","journal-title":"Common. Math. Phys."},{"key":"20_CR2","doi-asserted-by":"crossref","unstructured":"Bidarvatan, M., Shahbakhti, M., Jazayeri, S.A., Koch, C.R.: Cycle-to-cycle modeling and sliding mode control of blended-fuel HCCI engine. Control Eng. Pr 24, 79\u201391 (2014)","DOI":"10.1016\/j.conengprac.2013.11.008"},{"issue":"3","key":"20_CR3","first-page":"235","volume":"1","author":"G Cai","year":"2007","unstructured":"Cai, G., Tan, Z.: Chaos synchronization of a new chaotic system via nonlinear control. J. Uncertain Syst. 1(3), 235\u2013240 (2007)","journal-title":"J. Uncertain Syst."},{"issue":"4","key":"20_CR4","doi-asserted-by":"publisher","first-page":"453","DOI":"10.1109\/31.75404","volume":"38","author":"TL Carroll","year":"1991","unstructured":"Carroll, T.L., Pecora, L.M.: Synchronizing chaotic circuits. IEEE Trans. Circuits Syst. 38(4), 453\u2013456 (1991)","journal-title":"IEEE Trans. Circuits Syst."},{"issue":"7","key":"20_CR5","doi-asserted-by":"publisher","first-page":"1465","DOI":"10.1142\/S0218127499001024","volume":"9","author":"G Chen","year":"1999","unstructured":"Chen, G., Ueta, T.: Yet another chaotic attractor. Intern. J. Bifurc. Chaos 9(7), 1465\u20131466 (1999)","journal-title":"Intern. J. Bifurc. Chaos"},{"issue":"4","key":"20_CR6","doi-asserted-by":"publisher","first-page":"957","DOI":"10.1016\/j.chaos.2003.12.034","volume":"21","author":"HK Chen","year":"2004","unstructured":"Chen, H.K., Lee, C.I.: Anti-control of chaos in rigid body motion. Chaos, Solitons Fractals 21(4), 957\u2013965 (2004)","journal-title":"Chaos, Solitons Fractals"},{"issue":"9","key":"20_CR7","doi-asserted-by":"publisher","first-page":"3298","DOI":"10.1016\/j.cnsns.2014.01.018","volume":"19","author":"W-H Chen","year":"2014","unstructured":"Chen, W.-H., Wei, D., Lu, X.: Global exponential synchronization of nonlinear time-delay Lure systems via delayed impulsive control. Commun. Nonlinear Sci. Numer. Simul. 19(9), 3298\u20133312 (2014)","journal-title":"Commun. Nonlinear Sci. Numer. Simul."},{"key":"20_CR8","doi-asserted-by":"publisher","first-page":"189","DOI":"10.1016\/j.engappai.2013.12.014","volume":"30","author":"S Das","year":"2014","unstructured":"Das, S., Goswami, D., Chatterjee, S., Mukherjee, S.: Stability and chaos analysis of a novel swarm dynamics with applications to multi-agent systems. Eng. Appl. Artif. Intell. 30, 189\u2013198 (2014)","journal-title":"Eng. Appl. Artif. Intell."},{"issue":"1","key":"20_CR9","doi-asserted-by":"publisher","first-page":"141","DOI":"10.1016\/S0960-0779(02)00585-4","volume":"18","author":"M Feki","year":"2003","unstructured":"Feki, M.: An adaptive chaos synchronization scheme applied to secure communication. Chaos, Solitons Fractals 18(1), 141\u2013148 (2003)","journal-title":"Chaos, Solitons Fractals"},{"issue":"4","key":"20_CR10","doi-asserted-by":"publisher","first-page":"1310","DOI":"10.1016\/j.automatica.2014.01.004","volume":"50","author":"Y Feng","year":"2014","unstructured":"Feng, Y., Han, F., Yu, X.: Chattering free full-order sliding-mode control. Automatica 50(4), 1310\u20131314 (2014)","journal-title":"Automatica"},{"issue":"6","key":"20_CR11","doi-asserted-by":"publisher","first-page":"1955","DOI":"10.1016\/j.jfranklin.2012.05.001","volume":"349","author":"Q Gan","year":"2012","unstructured":"Gan, Q., Liang, Y.: Synchronization of chaotic neural networks with time delay in the leakage term and parametric uncertainties based on sampled-data control. J. Frankl. Inst. 349(6), 1955\u20131971 (2012)","journal-title":"J. Frankl. Inst."},{"issue":"1\u20134","key":"20_CR12","doi-asserted-by":"publisher","first-page":"315","DOI":"10.1016\/S0378-4371(98)00504-4","volume":"263","author":"P Gaspard","year":"1999","unstructured":"Gaspard, P.: Microscopic chaos and chemical reactions. Physica A: Stat. Mech. Appl 263(1\u20134), 315\u2013328 (1999)","journal-title":"Physica A: Stat. Mech. Appl"},{"key":"20_CR13","doi-asserted-by":"crossref","unstructured":"Gibson, W.T., Wilson, W.G.: Individual-based chaos: Extensions of the discrete logistic model. J. Theor. Biol. 339, 84\u201392 (2013)","DOI":"10.1016\/j.jtbi.2013.09.001"},{"issue":"1","key":"20_CR14","doi-asserted-by":"publisher","first-page":"89","DOI":"10.1016\/j.arcontrol.2009.01.002","volume":"33","author":"D Gu\u00e9gan","year":"2009","unstructured":"Gu\u00e9gan, D.: Chaos in economics and finance. Ann. Rev. Control 33(1), 89\u201393 (2009)","journal-title":"Ann. Rev. Control"},{"issue":"6","key":"20_CR15","doi-asserted-by":"publisher","first-page":"1830","DOI":"10.1016\/j.automatica.2013.02.043","volume":"49","author":"MT Hamayun","year":"2013","unstructured":"Hamayun, M.T., Edwards, C., Alwi, H.: A fault tolerant control allocation scheme with output integral sliding modes. Automatica 49(6), 1830\u20131837 (2013)","journal-title":"Automatica"},{"issue":"27\u201328","key":"20_CR16","doi-asserted-by":"publisher","first-page":"4799","DOI":"10.1016\/j.physleta.2008.05.025","volume":"372","author":"J Huang","year":"2008","unstructured":"Huang, J.: Adaptive synchronization between different hyperchaotic systems with fully uncertain parameters. Phys. Lett. A 372(27\u201328), 4799\u20134804 (2008)","journal-title":"Phys. Lett. A"},{"key":"20_CR17","doi-asserted-by":"publisher","first-page":"13","DOI":"10.1016\/j.neucom.2012.01.011","volume":"94","author":"X Huang","year":"2012","unstructured":"Huang, X., Zhao, Z., Wang, Z., Li, Y.: Chaos and hyperchaos in fractional-order cellular neural networks. Neurocomputing 94, 13\u201321 (2012)","journal-title":"Neurocomputing"},{"issue":"2","key":"20_CR18","doi-asserted-by":"publisher","first-page":"267","DOI":"10.1016\/S0960-0779(03)00374-6","volume":"20","author":"G-P Jiang","year":"2004","unstructured":"Jiang, G.-P., Zheng, W.X., Chen, G.: Global chaos synchronization with channel time-delay. Chaos, Solitons Fractals 20(2), 267\u2013275 (2004)","journal-title":"Chaos, Solitons Fractals"},{"issue":"2","key":"20_CR19","doi-asserted-by":"crossref","first-page":"97","DOI":"10.2478\/jee-2014-0014","volume":"65","author":"R Karthikeyan","year":"2014","unstructured":"Karthikeyan, R., Sundarapandian, V.: Hybrid chaos synchronization of four-scroll systems via active control. J. Elect. Eng. 65(2), 97\u2013103 (2014)","journal-title":"J. Elect. Eng."},{"key":"20_CR20","doi-asserted-by":"publisher","first-page":"245","DOI":"10.1016\/j.neunet.2012.02.030","volume":"32","author":"E Kaslik","year":"2012","unstructured":"Kaslik, E., Sivasundaram, S.: Nonlinear dynamics and chaos in fractional-order neural networks. Neural Netw 32, 245\u2013256 (2012)","journal-title":"Neural Netw"},{"issue":"7","key":"20_CR21","doi-asserted-by":"publisher","first-page":"2914","DOI":"10.1016\/j.cnsns.2011.10.038","volume":"17","author":"J Kengne","year":"2012","unstructured":"Kengne, J., Chedjou, J.C., Kenne, G., Kyamakya, K.: Dynamical properties and chaos synchronization of improved Colpitts oscillators. Commun. Nonlinear Sci. Numer Simul. 17(7), 2914\u20132923 (2012)","journal-title":"Commun. Nonlinear Sci. Numer Simul."},{"key":"20_CR22","unstructured":"Khalil, H.K.: Nonlinear Systems. Prentice Hall, Upper Saddle River (2001)"},{"issue":"6","key":"20_CR23","doi-asserted-by":"publisher","first-page":"569","DOI":"10.1016\/0531-5565(91)90074-V","volume":"26","author":"M Kyriazis","year":"1991","unstructured":"Kyriazis, M.: Applications of chaos theory to the molecular biology of aging. Exp. Gerontol. 26(6), 569\u2013572 (1991)","journal-title":"Exp. Gerontol."},{"issue":"6","key":"20_CR24","doi-asserted-by":"publisher","first-page":"1874","DOI":"10.1016\/j.cnsns.2013.09.036","volume":"19","author":"N Li","year":"2014","unstructured":"Li, N., Pan, W., Yan, L., Luo, B., Zou, X.: Enhanced chaos synchronization and communication in cascade-coupled semiconductor ring lasers. Commun. Nonlinear Sci. Numer. Simul. 19(6), 1874\u20131883 (2014)","journal-title":"Commun. Nonlinear Sci. Numer. Simul."},{"issue":"5","key":"20_CR25","doi-asserted-by":"publisher","first-page":"805","DOI":"10.1016\/j.neucom.2010.11.007","volume":"74","author":"N Li","year":"2011","unstructured":"Li, N., Zhang, Y., Nie, Z.: Synchronization for general complex dynamical networks with sampled-data. Neurocomputing 74(5), 805\u2013811 (2011)","journal-title":"Neurocomputing"},{"issue":"7","key":"20_CR26","doi-asserted-by":"publisher","first-page":"4293","DOI":"10.1016\/j.asoc.2010.05.033","volume":"11","author":"S Lian","year":"2011","unstructured":"Lian, S., Chen, X.: Traceable content protection based on chaos and neural networks. Appl. Soft Comput. 11(7), 4293\u20134301 (2011)","journal-title":"Appl. Soft Comput."},{"issue":"18","key":"20_CR27","doi-asserted-by":"publisher","first-page":"3195","DOI":"10.1016\/j.physleta.2008.01.038","volume":"372","author":"W Lin","year":"2008","unstructured":"Lin, W.: Adaptive chaos control and synchronization in only locally Lipschitz systems. Phys. Lett. A 372(18), 3195\u20133200 (2008)","journal-title":"Phys. Lett. A"},{"issue":"5","key":"20_CR28","doi-asserted-by":"publisher","first-page":"1031","DOI":"10.1016\/j.chaos.2004.02.060","volume":"22","author":"C Liu","year":"2004","unstructured":"Liu, C., Liu, T., Liu, L., Liu, K.: A new chaotic attractor. Chaos, Solitions Fractals 22(5), 1031\u20131038 (2004)","journal-title":"Chaos, Solitions Fractals"},{"issue":"6","key":"20_CR29","doi-asserted-by":"publisher","first-page":"1603","DOI":"10.1088\/1009-1963\/16\/6\/019","volume":"16","author":"L Liu","year":"2007","unstructured":"Liu, L., Zhang, C., Guo, Z.A.: Synchronization between two different chaotic systems with nonlinear feedback control. Chin. Phys. 16(6), 1603\u20131607 (2007)","journal-title":"Chin. Phys."},{"issue":"2","key":"20_CR30","doi-asserted-by":"publisher","first-page":"130","DOI":"10.1175\/1520-0469(1963)020<0130:DNF>2.0.CO;2","volume":"20","author":"EN Lorenz","year":"1963","unstructured":"Lorenz, E.N.: Deterministic periodic flow. J. Atmos. Sci. 20(2), 130\u2013141 (1963)","journal-title":"J. Atmos. Sci."},{"issue":"3","key":"20_CR31","doi-asserted-by":"publisher","first-page":"659","DOI":"10.1142\/S0218127402004620","volume":"12","author":"J L\u00fc","year":"2002","unstructured":"L\u00fc, J., Chen, G.: A new chaotic attractor coined. Intern. J. Bifurc. Chaos 12(3), 659\u2013661 (2002)","journal-title":"Intern. J. Bifurc. Chaos"},{"key":"20_CR32","doi-asserted-by":"publisher","first-page":"39","DOI":"10.1016\/j.ijepes.2013.11.044","volume":"57","author":"W Lu","year":"2014","unstructured":"Lu, W., Li, C., Xu, C.: Sliding mode control of a shunt hybrid active power filter based on the inverse system method. Intern. J. Elect. Power Energy Syst. 57, 39\u201348 (2014)","journal-title":"Intern. J. Elect. Power Energy Syst."},{"issue":"4","key":"20_CR33","doi-asserted-by":"publisher","first-page":"2356","DOI":"10.1016\/j.jfranklin.2013.08.027","volume":"351","author":"S Mondal","year":"2014","unstructured":"Mondal, S., Mahanta, C.: Adaptive second order terminal sliding mode controller for robotic manipulators. J. Franklin Inst. 351(4), 2356\u20132377 (2014)","journal-title":"J. Franklin Inst."},{"issue":"6","key":"20_CR34","doi-asserted-by":"publisher","first-page":"303","DOI":"10.1016\/S0375-9601(98)00159-5","volume":"241","author":"K Murali","year":"1998","unstructured":"Murali, K., Lakshmanan, M.: Secure communication using a compound signal from generalized chaotic systems. Phys. Lett. A 241(6), 303\u2013310 (1998)","journal-title":"Phys. Lett. A"},{"issue":"3\u20134","key":"20_CR35","doi-asserted-by":"publisher","first-page":"177","DOI":"10.1016\/j.robot.2005.09.009","volume":"53","author":"U Nehmzow","year":"2005","unstructured":"Nehmzow, U., Walker, K.: Quantitative description of robotenvironment interaction using chaos theory. Robot. Auton. Syst. 53(3\u20134), 177\u2013193 (2005)","journal-title":"Robot. Auton. Syst."},{"issue":"13\u201314","key":"20_CR36","doi-asserted-by":"publisher","first-page":"558","DOI":"10.1016\/j.physc.2010.05.009","volume":"470","author":"AN Njah","year":"2010","unstructured":"Njah, A.N., Ojo, K.S., Adebayo, G.A., Obawole, A.O.: Generalized control and synchronization of chaos in RCL-shunted Josephson junction using backstepping design. Physica C 470(13\u201314), 558\u2013564 (2010)","journal-title":"Physica C"},{"issue":"2","key":"20_CR37","doi-asserted-by":"publisher","first-page":"189","DOI":"10.1016\/j.rcim.2013.09.009","volume":"30","author":"PR Ouyang","year":"2014","unstructured":"Ouyang, P.R., Acob, J., Pano, V.: PD with sliding mode control for trajectory tracking of robotic system. Robot. Comput. Integr. Manuf. 30(2), 189\u2013200 (2014)","journal-title":"Robot. Comput. Integr. Manuf."},{"issue":"8","key":"20_CR38","doi-asserted-by":"publisher","first-page":"821","DOI":"10.1103\/PhysRevLett.64.821","volume":"64","author":"LM Pecora","year":"1990","unstructured":"Pecora, L.M., Carroll, T.L.: Synchronization in chaotic systems. Phys. Rev. Lett. 64(8), 821\u2013824 (1990)","journal-title":"Phys. Rev. Lett."},{"key":"20_CR39","doi-asserted-by":"crossref","unstructured":"Perruquetti, W., Barbot, J.P.: Sliding Mode Control in Engineering. Marcel Dekker, New York (2002)","DOI":"10.1201\/9780203910856"},{"key":"20_CR40","doi-asserted-by":"publisher","first-page":"240","DOI":"10.1038\/361240a0","volume":"361","author":"V Petrov","year":"1993","unstructured":"Petrov, V., Gaspar, V., Masere, J., Showalter, K.: Controlling chaos in Belousov-Zhabotinsky reaction. Nature 361, 240\u2013243 (1993)","journal-title":"Nature"},{"issue":"3","key":"20_CR41","doi-asserted-by":"publisher","first-page":"247","DOI":"10.1016\/j.pbiomolbio.2010.11.001","volume":"105","author":"Z Qu","year":"2011","unstructured":"Qu, Z.: Chaos in the genesis and maintenance of cardiac arrhythmias. Prog. Biophys. Mol. Biol. 105(3), 247\u2013257 (2011)","journal-title":"Prog. Biophys. Mol. Biol."},{"issue":"7","key":"20_CR42","doi-asserted-by":"publisher","first-page":"1246","DOI":"10.1016\/j.cnsns.2006.12.011","volume":"13","author":"M Rafikov","year":"2007","unstructured":"Rafikov, M., Balthazar, J.M.: On control and synchronization in chaotic and hyperchaotic systems via linear feedback control. Commun. Nonlinear Sci. Numer. Simul. 13(7), 1246\u20131255 (2007)","journal-title":"Commun. Nonlinear Sci. Numer. Simul."},{"issue":"2","key":"20_CR43","first-page":"265","volume":"67","author":"S Rasappan","year":"2012","unstructured":"Rasappan, S., Vaidyanathan, S.: Global chaos synchronization of WINDMI and Coullet chaotic systems by backstepping control. Far East J. Math. Sci. 67(2), 265\u2013287 (2012a)","journal-title":"Far East J. Math. Sci."},{"issue":"3","key":"20_CR44","doi-asserted-by":"crossref","first-page":"343","DOI":"10.2478\/v10170-011-0028-9","volume":"22","author":"S Rasappan","year":"2012","unstructured":"Rasappan, S., Vaidyanathan, S.: Hybrid synchronization of n-scroll Chua and Lur\u2019e chaotic systems via backstepping control with novel feedback. Arch. Control Sci. 22(3), 343\u2013365 (2012b)","journal-title":"Arch. Control Sci."},{"issue":"2","key":"20_CR45","doi-asserted-by":"publisher","first-page":"876","DOI":"10.1016\/j.cnsns.2010.05.017","volume":"16","author":"R Rhouma","year":"2011","unstructured":"Rhouma, R., Belghith, S.: Cryptoanalysis of a chaos based cryptosystem on DSP. Commun. Nonlinear Sci. Numer. Simul. 16(2), 876\u2013884 (2011)","journal-title":"Commun. Nonlinear Sci. Numer. Simul."},{"issue":"5","key":"20_CR46","doi-asserted-by":"publisher","first-page":"397","DOI":"10.1016\/0375-9601(76)90101-8","volume":"57A","author":"OE R\u00f6ssler","year":"1976","unstructured":"R\u00f6ssler, O.E.: An equation for continuous chaos. Phys. Lett. 57A(5), 397\u2013398 (1976)","journal-title":"Phys. Lett."},{"issue":"2","key":"20_CR47","first-page":"21","volume":"5","author":"P Sarasu","year":"2012","unstructured":"Sarasu, P., Sundarapandian, V.: Adaptive controller design for the generalized projective synchronization of 4-scroll systems. Intern. J. Syst. Signal Control Eng. Appl. 5(2), 21\u201330 (2012a)","journal-title":"Intern. J. Syst. Signal Control Eng. Appl."},{"issue":"4","key":"20_CR48","doi-asserted-by":"publisher","first-page":"146","DOI":"10.3923\/ijscomp.2012.146.156","volume":"7","author":"P Sarasu","year":"2012","unstructured":"Sarasu, P., Sundarapandian, V.: Generalized projective synchronization of two-scroll systems via adaptive control. Int. J. Soft Comput. 7(4), 146\u2013156 (2012b)","journal-title":"Int. J. Soft Comput."},{"issue":"4","key":"20_CR49","first-page":"504","volume":"72","author":"P Sarasu","year":"2012","unstructured":"Sarasu, P., Sundarapandian, V.: Generalized projective synchronization of two-scroll systems via adaptive control. Eur. J. Sci. Res. 72(4), 504\u2013522 (2012c)","journal-title":"Eur. J. Sci. Res."},{"issue":"1","key":"20_CR50","doi-asserted-by":"publisher","first-page":"180","DOI":"10.1016\/j.chaos.2008.11.004","volume":"42","author":"EM Shahverdiev","year":"2009","unstructured":"Shahverdiev, E.M., Bayramov, P.A., Shore, K.A.: Cascaded and adaptive chaos synchronization in multiple time-delay laser systems. Chaos, Solitons Fractals 42(1), 180\u2013186 (2009)","journal-title":"Chaos, Solitons Fractals"},{"issue":"17","key":"20_CR51","doi-asserted-by":"publisher","first-page":"3568","DOI":"10.1016\/j.optcom.2009.05.068","volume":"282","author":"EM Shahverdiev","year":"2009","unstructured":"Shahverdiev, E.M., Shore, K.A.: Impact of modulated multiple optical feedback time delays on laser diode chaos synchronization. Optics Commun. 282(17), 3568\u20133572 (2009)","journal-title":"Optics Commun."},{"issue":"6","key":"20_CR52","doi-asserted-by":"publisher","first-page":"2254","DOI":"10.1016\/j.cnsns.2011.10.032","volume":"17","author":"A Sharma","year":"2012","unstructured":"Sharma, A., Patidar, V., Purohit, G., Sud, K.K.: Effects on the bifurcation and chaos in forced Duffing oscillator due to nonlinear damping. Commun. Nonlinear Sci. Numer. Simul. 17(6), 2254\u20132269 (2012)","journal-title":"Commun. Nonlinear Sci. Numer. Simul."},{"issue":"2","key":"20_CR53","doi-asserted-by":"publisher","first-page":"647","DOI":"10.1103\/PhysRevE.50.R647","volume":"50","author":"JC Sprott","year":"1994","unstructured":"Sprott, J.C.: Some simple chaotic flows. Phys. Rev. E 50(2), 647\u2013650 (1994)","journal-title":"Phys. Rev. E"},{"issue":"5\u20136","key":"20_CR54","doi-asserted-by":"publisher","first-page":"329","DOI":"10.1016\/j.physleta.2004.03.079","volume":"325","author":"JC Sprott","year":"2004","unstructured":"Sprott, J.C.: Competition with evolution in ecology and finance. Phys. Lett. A 325(5\u20136), 329\u2013333 (2004)","journal-title":"Phys. Lett. A"},{"issue":"2\u20133","key":"20_CR55","doi-asserted-by":"publisher","first-page":"305","DOI":"10.1016\/S0304-3800(99)00007-1","volume":"117","author":"I Su\u00e9rez","year":"1999","unstructured":"Su\u00e9rez, I.: Mastering chaos in ecology. Ecol. Model. 117(2\u20133), 305\u2013314 (1999)","journal-title":"Ecol. Model."},{"issue":"2","key":"20_CR56","first-page":"289","volume":"42","author":"V Sundarapandian","year":"2010","unstructured":"Sundarapandian, V.: Output regulation of the Lorenz attractor. Far East J. Math. Sci. 42(2), 289\u2013299 (2010)","journal-title":"Far East J. Math. Sci."},{"issue":"3","key":"20_CR57","doi-asserted-by":"publisher","first-page":"254","DOI":"10.3923\/jeasci.2012.254.264","volume":"7","author":"V Sundarapandian","year":"2012","unstructured":"Sundarapandian, V., Karthikeyan, R.: Hybrid synchronization of hyperchaotic Lorenz and hyperchaotic Chen systems via active control. J. Eng. Appl. Sci. 7(3), 254\u2013264 (2012)","journal-title":"J. Eng. Appl. Sci."},{"issue":"7\u20138","key":"20_CR58","doi-asserted-by":"publisher","first-page":"1904","DOI":"10.1016\/j.mcm.2011.11.048","volume":"55","author":"V Sundarapandian","year":"2012","unstructured":"Sundarapandian, V., Pehlivan, I.: Analysis, control, synchronization, and circuit design of a novel chaotic system. Math. Comput. Model. 55(7\u20138), 1904\u20131915 (2012)","journal-title":"Math. Comput. Model."},{"issue":"1","key":"20_CR59","first-page":"73","volume":"73","author":"R Suresh","year":"2013","unstructured":"Suresh, R., Sundarapandian, V.: Global chaos synchronizatoin of a family of $$n$$-scroll hyperchaotic Chua circuits using backstepping control with recursive feedback. Far East J. Math. Sci. 73(1), 73\u201395 (2013)","journal-title":"Far East J. Math. Sci."},{"key":"20_CR60","doi-asserted-by":"publisher","first-page":"1315","DOI":"10.1016\/j.chaos.2006.07.052","volume":"36","author":"G Tigan","year":"2008","unstructured":"Tigan, G., Opris, D.: Analysis of a 3D chaotic system. Chaos, Solitons Fractals 36, 1315\u20131319 (2008)","journal-title":"Chaos, Solitons Fractals"},{"key":"20_CR61","doi-asserted-by":"publisher","first-page":"10","DOI":"10.1016\/j.amc.2014.03.012","volume":"236","author":"J Tu","year":"2014","unstructured":"Tu, J., He, H., Xiong, P.: Adaptive backstepping synchronization between chaotic systems with unknown Lipschitz constant. Appl. Math. Comput. 236, 10\u201318 (2014)","journal-title":"Appl. Math. Comput."},{"issue":"1","key":"20_CR62","doi-asserted-by":"publisher","first-page":"105","DOI":"10.1016\/j.chaos.2005.09.035","volume":"31","author":"A Ucar","year":"2007","unstructured":"Ucar, A., Lonngren, K.E., Bai, E.W.: Chaos synchronization in RCL-shunted Josephson junction via active control. Chaos, Solitons Fractals 31(1), 105\u2013111 (2007)","journal-title":"Chaos, Solitons Fractals"},{"issue":"2","key":"20_CR63","doi-asserted-by":"publisher","first-page":"326","DOI":"10.1016\/j.camwa.2009.12.033","volume":"60","author":"M Usama","year":"2010","unstructured":"Usama, M., Khan, M.K., Alghatbar, K., Lee, C.: Chaos-based secure satellite imagery cryptosystem. Comput. Math. Appl. 60(2), 326\u2013337 (2010)","journal-title":"Comput. Math. Appl."},{"key":"20_CR64","doi-asserted-by":"crossref","unstructured":"Utkin, V.I.: Sliding Modes in Control and Optimization. Springer, New York (1992)","DOI":"10.1007\/978-3-642-84379-2"},{"issue":"2","key":"20_CR65","first-page":"131","volume":"4","author":"S Vaidyanathan","year":"2011","unstructured":"Vaidyanathan, S.: Anti-synchronization of Newton-Leipnik and Chen-Lee chaotic systems by active control. Intern. J. Control Theory Appl. 4(2), 131\u2013141 (2011)","journal-title":"Intern. J. Control Theory Appl."},{"issue":"6","key":"20_CR66","doi-asserted-by":"publisher","first-page":"145","DOI":"10.5121\/ijcsit.2012.4611","volume":"4","author":"S Vaidyanathan","year":"2012","unstructured":"Vaidyanathan, S.: Adaptive backstepping controller and synchronizer design for Arneodo chaotic system with unknown parameters. Intern. J. Comput. Sci. Inform. Technol. 4(6), 145\u2013159 (2012a)","journal-title":"Intern. J. Comput. Sci. Inform. Technol."},{"issue":"1","key":"20_CR67","first-page":"41","volume":"5","author":"S Vaidyanathan","year":"2012","unstructured":"Vaidyanathan, S.: Anti-synchronization of Sprott-L and Sprott-M chaotic systems via adaptive control. Intern. J. Control Theory Appl. 5(1), 41\u201359 (2012b)","journal-title":"Intern. J. Control Theory Appl."},{"key":"20_CR68","first-page":"3982","volume":"110\u2013116","author":"S Vaidyanathan","year":"2012","unstructured":"Vaidyanathan, S.: Output regulation of the Liu chaotic system. Appl. Mech. Mater. 110\u2013116, 3982\u20133989 (2012c)","journal-title":"Appl. Mech. Mater."},{"issue":"1","key":"20_CR69","first-page":"135","volume":"79","author":"S Vaidyanathan","year":"2013","unstructured":"Vaidyanathan, S.: A new six-term 3-D chaotic system with an exponential nonlinearity. Far East J. Math. Sci. 79(1), 135\u2013143 (2013a)","journal-title":"Far East J. Math. Sci."},{"issue":"4","key":"20_CR70","doi-asserted-by":"crossref","first-page":"53","DOI":"10.25103\/jestr.064.07","volume":"6","author":"S Vaidyanathan","year":"2013","unstructured":"Vaidyanathan, S.: Analysis and adaptive synchronization of two novel chaotic systems with hyperbolic sinusoidal and cosinusoidal nonlinearity and unknown parameters. J. Eng. Sci. Technol. Rev. 6(4), 53\u201365 (2013b)","journal-title":"J. Eng. Sci. Technol. Rev."},{"issue":"2","key":"20_CR71","first-page":"219","volume":"84","author":"S Vaidyanathan","year":"2014","unstructured":"Vaidyanathan, S.: A new eight-term 3-D polynomial chaotic system with three quadratic nonlinearities. Far East J. Math. Sci. 84(2), 219\u2013226 (2014)","journal-title":"Far East J. Math. Sci."},{"issue":"1","key":"20_CR72","first-page":"73","volume":"4","author":"S Vaidyanathan","year":"2011","unstructured":"Vaidyanathan, S., Rajagopal, K.: Global chaos synchronization of four-scroll chaotic systems by active nonlinear control. Intern. J. Control Theory Appl. 4(1), 73\u201383 (2011a)","journal-title":"Intern. J. Control Theory Appl."},{"issue":"3","key":"20_CR73","first-page":"55","volume":"4","author":"S Vaidyanathan","year":"2011","unstructured":"Vaidyanathan, S., Rajagopal, K.: Hybrid synchronization of hyperchaotic Wang-Chen and hyperchaotic Lorenz systems by active nonlinear control. Intern. J. Syst. Signal Control Eng. Appl. 4(3), 55\u201361 (2011b)","journal-title":"Intern. J. Syst. Signal Control Eng. Appl."},{"issue":"3","key":"20_CR74","doi-asserted-by":"publisher","first-page":"274","DOI":"10.1007\/s11633-012-0644-2","volume":"9","author":"S Vaidyanathan","year":"2012","unstructured":"Vaidyanathan, S., Sampath, S.: Anti-synchronization of four-scroll chaotic systems via sliding mode control. Int. J. Autom. Comput. 9(3), 274\u2013279 (2012)","journal-title":"Int. J. Autom. Comput."},{"issue":"12","key":"20_CR75","doi-asserted-by":"publisher","first-page":"1314","DOI":"10.1016\/j.robot.2013.08.004","volume":"61","author":"CK Volos","year":"2013","unstructured":"Volos, C.K., Kyprianidis, I.M., Stouboulos, I.N.: Experimental investigation on coverage performance of a chaotic autonomous mobile robot. Robot. Autonom. Syst. 61(12), 1314\u20131322 (2013)","journal-title":"Robot. Autonom. Syst."},{"issue":"2","key":"20_CR76","doi-asserted-by":"publisher","first-page":"274","DOI":"10.1016\/j.physleta.2006.08.037","volume":"360","author":"F Wang","year":"2006","unstructured":"Wang, F., Liu, C.: A new criterion for chaos and hyperchaos synchronization using linear feedback control. Phys. Lett. A 360(2), 274\u2013278 (2006)","journal-title":"Phys. Lett. A"},{"issue":"4","key":"20_CR77","doi-asserted-by":"publisher","first-page":"312","DOI":"10.1016\/0306-9877(91)90002-G","volume":"36","author":"CL Witte","year":"1991","unstructured":"Witte, C.L., Witte, M.H.: Chaos and predicting varix hemorrhage. Med. Hypotheses 36(4), 312\u2013317 (1991)","journal-title":"Med. Hypotheses"},{"issue":"5","key":"20_CR78","doi-asserted-by":"publisher","first-page":"1346","DOI":"10.1016\/j.na.2006.12.028","volume":"68","author":"X Wu","year":"2008","unstructured":"Wu, X., Guan, Z.-H., Wu, Z.: Adaptive synchronization between two different hyperchaotic systems. Nonlinear Analysis: Theory, Methods Appl. 68(5), 1346\u20131351 (2008)","journal-title":"Nonlinear Analysis: Theory, Methods Appl."},{"issue":"6","key":"20_CR79","doi-asserted-by":"publisher","first-page":"2039","DOI":"10.1016\/j.cnsns.2013.10.020","volume":"19","author":"X Xiao","year":"2014","unstructured":"Xiao, X., Zhou, L., Zhang, Z.: Synchronization of chaotic Lure systems with quantized sampled-data controller. Commun. Nonlinear Sci. Numer. Simul. 19(6), 2039\u20132047 (2014)","journal-title":"Commun. Nonlinear Sci. Numer. Simul."},{"issue":"8","key":"20_CR80","doi-asserted-by":"publisher","first-page":"1950","DOI":"10.1016\/j.ijleo.2013.11.007","volume":"125","author":"G Yuan","year":"2014","unstructured":"Yuan, G., Zhang, X., Wang, Z.: Generation and synchronization of feedback-induced chaos in semiconductor ring lasers by injection-locking. Optik Intern. J. Light Electron Optics 125(8), 1950\u20131953 (2014)","journal-title":"Optik Intern. J. Light Electron Optics"},{"issue":"9","key":"20_CR81","doi-asserted-by":"publisher","first-page":"3721","DOI":"10.1016\/j.cnsns.2010.12.032","volume":"16","author":"AA Zaher","year":"2011","unstructured":"Zaher, A.A., Abu-Rezq, A.: On the design of chaos-based secure communication systems. Commun. Nonlinear Syst. Numer. Simul. 16(9), 3721\u20133727 (2011)","journal-title":"Commun. Nonlinear Syst. Numer. Simul."},{"issue":"12","key":"20_CR82","doi-asserted-by":"publisher","first-page":"1277","DOI":"10.1016\/j.sysconle.2012.10.001","volume":"61","author":"H Zhang","year":"2012","unstructured":"Zhang, H., Zhou, J.: Synchronization of sampled-data coupled harmonic oscillators with control inputs missing. Syst. Control Lett. 61(12), 1277\u20131285 (2012)","journal-title":"Syst. Control Lett."},{"issue":"5","key":"20_CR83","doi-asserted-by":"publisher","first-page":"1183","DOI":"10.1016\/j.chaos.2003.12.079","volume":"21","author":"J Zhang","year":"2004","unstructured":"Zhang, J., Li, C., Zhang, H., Yu, J.: Chaos synchronization using single variable feedback based on backstepping method. Chaos, Solitons Fractals 21(5), 1183\u20131193 (2004)","journal-title":"Chaos, Solitons Fractals"},{"key":"20_CR84","doi-asserted-by":"publisher","first-page":"431","DOI":"10.1016\/j.amc.2014.01.094","volume":"232","author":"X Zhang","year":"2014","unstructured":"Zhang, X., Liu, X., Zhu, Q.: Adaptive chatter free sliding mode control for a class of uncertain chaotic systems. Appl. Math. Comput. 232, 431\u2013435 (2014)","journal-title":"Appl. Math. Comput."},{"issue":"36","key":"20_CR85","doi-asserted-by":"publisher","first-page":"5773","DOI":"10.1016\/j.physleta.2008.07.032","volume":"372","author":"W Zhou","year":"2008","unstructured":"Zhou, W., Xu, Y., Lu, H., Pan, L.: On dynamics analysis of a new chaotic attractor. Phys. Lett. A 372(36), 5773\u20135777 (2008)","journal-title":"Phys. Lett. A"}],"container-title":["Studies in Computational Intelligence","Advances and Applications in Sliding Mode Control systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-11173-5_20","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,2,8]],"date-time":"2023-02-08T05:36:44Z","timestamp":1675834604000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-319-11173-5_20"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,11,2]]},"ISBN":["9783319111728","9783319111735"],"references-count":85,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-11173-5_20","relation":{},"ISSN":["1860-949X","1860-9503"],"issn-type":[{"value":"1860-949X","type":"print"},{"value":"1860-9503","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,11,2]]},"assertion":[{"value":"2 November 2014","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}}]}}