{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,20]],"date-time":"2026-02-20T00:31:00Z","timestamp":1771547460548,"version":"3.50.1"},"reference-count":50,"publisher":"Springer Science and Business Media LLC","issue":"8","license":[{"start":{"date-parts":[[2017,3,2]],"date-time":"2017-03-02T00:00:00Z","timestamp":1488412800000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Int. J. Mach. Learn. & Cyber."],"published-print":{"date-parts":[[2018,8]]},"DOI":"10.1007\/s13042-017-0644-1","type":"journal-article","created":{"date-parts":[[2017,3,2]],"date-time":"2017-03-02T11:57:11Z","timestamp":1488455831000},"page":"1297-1305","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":20,"title":["Limit cycle oscillation in aeroelastic systems and its adaptive fractional-order fuzzy control"],"prefix":"10.1007","volume":"9","author":[{"given":"Guanjun","family":"Li","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jinde","family":"Cao","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ahmed","family":"Alsaedi","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Bashir","family":"Ahmad","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2017,3,2]]},"reference":[{"key":"644_CR1","doi-asserted-by":"crossref","first-page":"185","DOI":"10.1016\/j.neucom.2015.02.049","volume":"160","author":"FL Ren","year":"2015","unstructured":"Ren FL, Cao F, Cao JD (2015) Mittag-leffler stability and generalized mittag-leffler stability of fractional-order gene regulatory networks. Neurocomputing 160:185\u2013190","journal-title":"Neurocomputing"},{"key":"644_CR2","first-page":"802429","volume":"2014","author":"JH Luo","year":"2014","unstructured":"Luo JH, Li GJ, Liu H (2014) Linear control of fractional-order financial chaotic systems with input saturation. Discret Dynam Nat Soc 2014:802429","journal-title":"Discret Dynam Nat Soc"},{"issue":"2","key":"644_CR3","doi-asserted-by":"crossref","first-page":"547","DOI":"10.1016\/j.automatica.2013.11.018","volume":"50","author":"J Shen","year":"2014","unstructured":"Shen J, Lam J (2014) Non-existence of finite-time stable equilibria in fractional-order nonlinear systems. Automatica 50(2):547\u2013551","journal-title":"Automatica"},{"issue":"1","key":"644_CR4","first-page":"59","volume":"61","author":"CC Hua","year":"2014","unstructured":"Hua CC, Liu D, Guan XP (2014) Necessary and sufficient stability criteria for a class of fractional-order delayed systems. IEEE Trans Circ Syst II Exp Briefs 61(1):59\u201363","journal-title":"IEEE Trans Circ Syst II Exp Briefs"},{"issue":"7","key":"644_CR5","doi-asserted-by":"publisher","first-page":"070503","DOI":"10.1109\/TSMC.2640950","volume":"64","author":"H Liu","year":"2016","unstructured":"Liu H, Pan Y, Li S, et al (2016) Adaptive fuzzy backstepping control of fractional-order nonlinear systems[J]. IEEE Trans Syst Man Cybern: Syst. doi: 10.1109\/TSMC.2640950","journal-title":"IEEE Trans Syst Man Cybern: Syst"},{"issue":"9","key":"644_CR6","doi-asserted-by":"crossref","first-page":"090505","DOI":"10.1088\/1674-1056\/24\/9\/090505","volume":"24","author":"H Liu","year":"2015","unstructured":"Liu H, Li S, Sun Y, Wang H (2015) Prescribed performance synchronization for fractional-order chaotic systems. Chin Phys B 24(9):090505","journal-title":"Chin Phys B"},{"key":"644_CR7","doi-asserted-by":"crossref","first-page":"494","DOI":"10.1016\/j.neucom.2014.03.047","volume":"142","author":"C Song","year":"2014","unstructured":"Song C, Cao JD (2014) Dynamics in fractional-order neural networks. Neurocomputing 142:494\u2013498","journal-title":"Neurocomputing"},{"key":"644_CR8","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.neunet.2013.11.016","volume":"51","author":"J Chen","year":"2014","unstructured":"Chen J, Zeng Z, Jiang P (2014) Global Mittag-Leffler stability and synchronization of memristorbased fractional-order neural networks. Neural Netw 51:1\u20138","journal-title":"Neural Netw"},{"key":"644_CR9","doi-asserted-by":"crossref","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 YX (2012) Chaos and hyperchaos in fractional-order cellular neural networks. Neurocomputing 94:13\u201321","journal-title":"Neurocomputing"},{"key":"644_CR10","doi-asserted-by":"crossref","first-page":"87","DOI":"10.1016\/j.neunet.2013.10.002","volume":"49","author":"J Yu","year":"2014","unstructured":"Yu J, Hu C, Jiang HJ, Fan XL (2014) Projective synchronization for fractional neural networks. Neural Netw 49:87\u201395","journal-title":"Neural Netw"},{"issue":"2","key":"644_CR11","doi-asserted-by":"crossref","first-page":"55","DOI":"10.3390\/e18020055","volume":"18","author":"GJ Li","year":"2016","unstructured":"Li GJ, Liu H (2016) Stability analysis and synchronization for a class of fractional-order neural networks. Entropy 18(2):55","journal-title":"Entropy"},{"key":"644_CR12","doi-asserted-by":"crossref","first-page":"297","DOI":"10.1016\/j.chaos.2015.08.003","volume":"78","author":"R Rakkiyappan","year":"2015","unstructured":"Rakkiyappan R, Velmurugan G, Cao JD (2015) Stability analysis of fractional-order complex-valued neural networks with time delays. Chaos Solitons Fractals 78:297\u2013316","journal-title":"Chaos Solitons Fractals"},{"key":"644_CR13","doi-asserted-by":"publisher","DOI":"10.1109\/TNNLS","author":"Y Pan","year":"2016","unstructured":"Pan Y, Yu H (2016) Biomimetic hybrid feedback feedforward neural-network learning control. \u00a0IEEE Trans Neural Netw Learn Syst. doi: 10.1109\/TNNLS.2527501","journal-title":"IEEE Trans Neural Netw Learn Syst"},{"issue":"3","key":"644_CR14","doi-asserted-by":"crossref","first-page":"387","DOI":"10.1007\/s11431-016-6006-5","volume":"59","author":"JD Cao","year":"2016","unstructured":"Cao JD, Rakkiyappan R, Maheswari K, Chandrasekar A (2016) Exponential $$H_\\infty$$ H \u221e filtering analysis for discrete-time switched neural networks with random delays using sojourn probabilities. Sci China Technol Sci 59(3):387\u2013402","journal-title":"Sci China Technol Sci"},{"key":"644_CR15","doi-asserted-by":"publisher","unstructured":"Lu J, Wang Z, Cao J, et al (2012) Pinning impulsive stabilization of nonlinear dynamical networks with time-varying delay. Int J Bifurcat Chaos. doi: 10.1142\/S0218127412501763","DOI":"10.1142\/S0218127412501763"},{"issue":"8","key":"644_CR16","doi-asserted-by":"crossref","first-page":"1965","DOI":"10.1016\/j.automatica.2009.04.003","volume":"45","author":"Y Li","year":"2009","unstructured":"Li Y, Chen YQ, Podlubny I (2009) Mittag-Leffler stability of fractional order nonlinear dynamic systems. Automatica 45(8):1965\u20131969","journal-title":"Automatica"},{"issue":"6","key":"644_CR17","doi-asserted-by":"crossref","first-page":"1561","DOI":"10.1109\/TSMCB.2008.928227","volume":"38","author":"MO Efe","year":"2008","unstructured":"Efe MO (2008) Fractional fuzzy adaptive sliding-mode control of a 2-DOF direct-drive robot arm. IEEE Trans Syst Man Cybern 38(6):1561\u20131570","journal-title":"IEEE Trans Syst Man Cybern"},{"issue":"6","key":"644_CR18","doi-asserted-by":"crossref","first-page":"1646","DOI":"10.1109\/TNN.2006.881488","volume":"17","author":"JD Cao","year":"2006","unstructured":"Cao JD, Yuan K, Li HX (2006) Global Asymptotical stability of generalized recurrent neural networks with multiple discrete delays and distributed delays. IEEE Trans Neural Netw 17(6):1646\u20131651","journal-title":"IEEE Trans Neural Netw"},{"issue":"9","key":"644_CR19","doi-asserted-by":"crossref","first-page":"2603","DOI":"10.1109\/TAC.2015.2495232","volume":"61","author":"YH Pan","year":"2016","unstructured":"Pan Y, Yu H (2016) Composite learning from adaptive dynamic surface control. IEEE Trans Autom Control 61(9):2603\u20132609","journal-title":"IEEE Trans Autom Control"},{"key":"644_CR20","doi-asserted-by":"crossref","DOI":"10.1002\/9783527617586","volume-title":"Nonlinear oscillations","author":"AH Nayfeh","year":"1995","unstructured":"Nayfeh AH, Mook DT (1995) Nonlinear oscillations. Wiley InterScience, NewYork"},{"key":"644_CR21","doi-asserted-by":"crossref","first-page":"251","DOI":"10.1016\/0022-460X(81)90343-6","volume":"75","author":"EH Dowell","year":"1981","unstructured":"Dowell EH (1981) Non-linear oscillator models in bluff body aeroelasticity. J Sound Vib 75:251\u2013264","journal-title":"J Sound Vib"},{"key":"644_CR22","doi-asserted-by":"crossref","unstructured":"vanderPol B, vanderMark J (1927) Frequency demultiplication. Nature 120: 363\u2013364","DOI":"10.1038\/120363a0"},{"key":"644_CR23","doi-asserted-by":"crossref","first-page":"5489","DOI":"10.1016\/j.jsv.2013.05.001","volume":"21","author":"E Domany","year":"2013","unstructured":"Domany E, Gendelman OV (2013) Dynamic responses and mitigation of limit cycle oscillations in Van der Pol-Duffing oscillator with nonlinear energy sink. J Sound Vib 21:5489\u20135507","journal-title":"J Sound Vib"},{"key":"644_CR24","doi-asserted-by":"crossref","unstructured":"Lee YS, FVakakis A, Bergman LA, McFarland DM (2006) Suppression of limit cycle oscillations in the Van der Pol oscillator by means of passive nonlinear energy sinks(NESs). Struct Control Health Monit 13:41\u201375","DOI":"10.1002\/stc.143"},{"key":"644_CR25","doi-asserted-by":"crossref","first-page":"220","DOI":"10.1016\/j.physd.2009.10.020","volume":"239","author":"OV Gendelman","year":"2010","unstructured":"Gendelman OV, Bar T (2010) Bifurcations of self-excitation regimes in a Van der Pol oscillator with a nonlinear energy sink. Physica D 239:220\u2013229","journal-title":"Physica D"},{"key":"644_CR26","doi-asserted-by":"crossref","first-page":"1182","DOI":"10.1016\/j.jfluidstructs.2011.02.003","volume":"27","author":"JA Dunnmon","year":"2011","unstructured":"Dunnmon JA, Stanton SC, Mann BP et al (2011) Power extraction from aeroelastic limit cycle oscillations. J Fluids Struct 27:1182\u20131198","journal-title":"J Fluids Struct"},{"key":"644_CR27","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.jfluidstructs.2015.06.007","volume":"60","author":"A Drachinsky","year":"2016","unstructured":"Drachinsky A, Raveh DE (2016) Limit-cycle oscillations of a pre-tensed membrane strip. J Fluids Struct 60:1\u201322","journal-title":"J Fluids Struct"},{"key":"644_CR28","doi-asserted-by":"crossref","first-page":"95","DOI":"10.1016\/j.ast.2009.09.004","volume":"14","author":"M Dardel","year":"2010","unstructured":"Dardel M, Bakhtiari-Nejad F (2010) A reduced order of complete aeroelastic model for limit cycle oscillations. Aerosp Sci Technol 14:95\u2013105","journal-title":"Aerosp Sci Technol"},{"key":"644_CR29","doi-asserted-by":"crossref","first-page":"99","DOI":"10.1016\/j.ijnonlinmec.2013.09.008","volume":"58","author":"SA Eftekhari","year":"2014","unstructured":"Eftekhari SA, Bakhtiari-Nejad F, Dowell EH (2014) Damage detection of an aeroelastic panel using limit cycle oscillation analysis. Int J Non Linear Mech 58:99\u2013110","journal-title":"Int J Non Linear Mech"},{"key":"644_CR30","doi-asserted-by":"crossref","first-page":"195","DOI":"10.1016\/j.ast.2003.10.009","volume":"8","author":"NG Bhoir","year":"2004","unstructured":"Bhoir NG, Singh SN (2004) Output feedback nonlinear control of an aeroelastic with unsteady aerodynamics. Aerosp Sci Technol 8:195\u2013205","journal-title":"Aerosp Sci Technol"},{"key":"644_CR31","doi-asserted-by":"crossref","first-page":"1127","DOI":"10.2514\/2.4664","volume":"23","author":"TW Strganac","year":"2008","unstructured":"Strganac TW, Thompson DE (2008) Identification and control of limit cycle oscillations in aeroelastic systems. J Guid Control Dyn 23:1127\u20131133","journal-title":"J Guid Control Dyn"},{"key":"644_CR32","doi-asserted-by":"crossref","first-page":"161","DOI":"10.1016\/j.ast.2004.10.003","volume":"9","author":"S Gujjula","year":"2005","unstructured":"Gujjula S, Singh SN, Yim W (2005) Adaptive and neural control of a wing section using leading- and trailing-edge surfaces. Aerosp Sci Technol 9:161\u2013171","journal-title":"Aerosp Sci Technol"},{"key":"644_CR33","doi-asserted-by":"crossref","first-page":"2015","DOI":"10.1007\/s11071-012-0593-x","volume":"70","author":"CL Chen","year":"2013","unstructured":"Chen CL, Chang CW, Yau HT (2013) Terminal sliding mode control for aeroelastic systems. Nonlinear Dyn 70:2015\u20132026","journal-title":"Nonlinear Dyn"},{"key":"644_CR34","doi-asserted-by":"crossref","first-page":"1813","DOI":"10.1016\/j.cnsns.2011.09.011","volume":"17","author":"CL Chen","year":"2014","unstructured":"Chen CL, Peng CC, Yau HT (2014) High-order sliding mode controller with backstepping design for aeroelastic systems. Commun Nonlinear Sci Numer Simulat 17:1813\u20131823","journal-title":"Commun Nonlinear Sci Numer Simulat"},{"issue":"12","key":"644_CR35","doi-asserted-by":"crossref","first-page":"1151","DOI":"10.1016\/j.sysconle.2013.09.009","volume":"62","author":"GH Wen","year":"2013","unstructured":"Wen GH, Hu G, Yu WW, Cao JD, Chen GR (2013) Consensus tracking for higher-order multi-agent systems with switching directed topologies and occasionally missing control inputs. Syst Control Lett 62(12):1151\u20131158","journal-title":"Syst Control Lett"},{"key":"644_CR36","doi-asserted-by":"crossref","unstructured":"Balasubramaniam P, Syed Ali M (2011) Stochastic stability of uncertain fuzzy recurrent neural networks with Markovian jumping parameters. Int J Comput Math 88(5):892\u2013904","DOI":"10.1080\/00207161003716827"},{"key":"644_CR37","doi-asserted-by":"crossref","first-page":"122","DOI":"10.1016\/j.neunet.2015.12.009","volume":"76","author":"Y Pan","year":"2016","unstructured":"Pan Y et al (2016) Hybrid feedback feedforward: An efficient design of adaptive neural network control. Neural Netw 76:122\u2013134","journal-title":"Neural Netw"},{"issue":"7","key":"644_CR38","doi-asserted-by":"crossref","first-page":"1215","DOI":"10.1016\/j.automatica.2010.04.005","volume":"46","author":"JQ Lu","year":"2010","unstructured":"Lu JQ, Ho DW, Cao JD (2010) A unified synchronization criterion for impulsive dynamical networks. Automatica 46(7):1215\u20131221","journal-title":"Automatica"},{"key":"644_CR39","doi-asserted-by":"crossref","unstructured":"Balasubramaniam P, Syed Ali M (2010) Robust exponential stability of uncertain fuzzy Cohen-Grossberg neural networks with time-varying delays. Fuzzy Sets Syst 161:608\u2013618","DOI":"10.1016\/j.fss.2009.10.013"},{"key":"644_CR40","doi-asserted-by":"publisher","unstructured":"Pan Y, Sun T, Yu H (2016) Composite adaptive dynamic surface control using online recorded data. Int J Robust Nonlinear Control. doi: 10.1002\/rnc.3541","DOI":"10.1002\/rnc.3541"},{"key":"644_CR41","first-page":"10509","volume":"8","author":"XL Zhang","year":"2012","unstructured":"Zhang XL, Zhang FY (2012) Synchronizing uncertain chaotic systems by using adaptive fuzzy chattering free sliding mode control. J Comput Inf Syst 8:10509\u201310515","journal-title":"J Comput Inf Syst"},{"key":"644_CR42","doi-asserted-by":"crossref","first-page":"3241","DOI":"10.1016\/j.cnsns.2009.12.012","volume":"15","author":"W Xiang","year":"2010","unstructured":"Xiang W, Yugao HF (2010) Second-order terminal sliding mode controller for a class of chaotic systems with unmatched uncertainties. Commun Nonlinear Sci Numer Simulat 15:3241\u20133247","journal-title":"Commun Nonlinear Sci Numer Simulat"},{"key":"644_CR43","doi-asserted-by":"crossref","unstructured":"Balasubramaniam P, Syed Ali M (2011) Stability analysis of Takagi-Sugeno stochastic fuzzy Hopfield neural networks with discrete and distributed time varying delays. Neurocomputing 74(10):1520\u20131526","DOI":"10.1016\/j.neucom.2010.12.029"},{"issue":"3","key":"644_CR44","doi-asserted-by":"crossref","first-page":"574","DOI":"10.1109\/TCYB.2014.2331460","volume":"45","author":"YP Pan","year":"2015","unstructured":"Pan YP, Yu HY, Sun TR (2015) Global asymptotic stabilization using adaptive fuzzy PD control. IEEE Trans Cybern 45(3):574\u2013582","journal-title":"IEEE Trans Cybern"},{"key":"644_CR45","doi-asserted-by":"crossref","first-page":"422","DOI":"10.1016\/j.neucom.2016.09.050","volume":"219","author":"H Liu","year":"2017","unstructured":"Liu H, Li S, Cao J, et al (2017) Adaptive fuzzy prescribed performance controller design for a class of uncertain fractional-order nonlinear systems with external disturbances. Neurocomputing \u00a0219:422\u2013430","journal-title":"Neurocomputing"},{"key":"644_CR46","doi-asserted-by":"crossref","first-page":"435","DOI":"10.1023\/A:1023264319167","volume":"31","author":"SN Singh","year":"2003","unstructured":"Singh SN, Brenner M (2003) Limit cycle oscillation and orbital stability in aeroelastic systems with torsional nonlinearity. Nonlinear Dyn 31:435\u2013450","journal-title":"Nonlinear Dyn"},{"key":"644_CR47","volume-title":"Fractional differential equations: an introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications","author":"I Podlubny","year":"1998","unstructured":"Podlubny I (1998) Fractional differential equations: an introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications, vol 198. Academic Press, New York"},{"key":"644_CR48","doi-asserted-by":"crossref","first-page":"650","DOI":"10.1016\/j.cnsns.2014.10.008","volume":"22","author":"MA Duarte-Mermoud","year":"2015","unstructured":"Duarte-Mermoud MA, Aguila-Camacho N, Gallegos JA, Castro-Linares R (2015) Using general quadratic Lyapunov functions to prove Lyapunov uniform stability for fractional order systems. Commun Nonlinear Sci Numer Simul 22:650\u2013659","journal-title":"Commun Nonlinear Sci Numer Simul"},{"key":"644_CR49","doi-asserted-by":"crossref","first-page":"1957","DOI":"10.1016\/j.automatica.2005.07.001","volume":"41","author":"SH Yu","year":"2005","unstructured":"Yu SH, Yu XH, Shirinzadeh BJ, Mau ZH (2005) Continuous finite-time control for robotic manipulators with terminal sliding mode. Automatica 41:1957\u20131964","journal-title":"Automatica"},{"key":"644_CR50","doi-asserted-by":"crossref","first-page":"193","DOI":"10.1007\/s11071-008-9391-x","volume":"56","author":"LP Liu","year":"2012","unstructured":"Liu LP, Han ZZ, Li WL (2012) Global sliding mode control and application in chaotic systems. Nonlinear Dyn 56:193\u2013198","journal-title":"Nonlinear Dyn"}],"container-title":["International Journal of Machine Learning and Cybernetics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s13042-017-0644-1\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s13042-017-0644-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s13042-017-0644-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,9,19]],"date-time":"2019-09-19T03:35:33Z","timestamp":1568864133000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s13042-017-0644-1"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,3,2]]},"references-count":50,"journal-issue":{"issue":"8","published-print":{"date-parts":[[2018,8]]}},"alternative-id":["644"],"URL":"https:\/\/doi.org\/10.1007\/s13042-017-0644-1","relation":{},"ISSN":["1868-8071","1868-808X"],"issn-type":[{"value":"1868-8071","type":"print"},{"value":"1868-808X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,3,2]]}}}