{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,4]],"date-time":"2025-12-04T06:08:13Z","timestamp":1764828493618},"reference-count":39,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2014,9,27]],"date-time":"2014-09-27T00:00:00Z","timestamp":1411776000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Circuits Syst Signal Process"],"published-print":{"date-parts":[[2015,4]]},"DOI":"10.1007\/s00034-014-9899-x","type":"journal-article","created":{"date-parts":[[2014,9,26]],"date-time":"2014-09-26T11:43:21Z","timestamp":1411731801000},"page":"1325-1341","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":24,"title":["Robust Finite-Time Stability of Fractional Order Linear Time-Varying Impulsive Systems"],"prefix":"10.1007","volume":"34","author":[{"given":"Guopei","family":"Chen","sequence":"first","affiliation":[]},{"given":"Ying","family":"Yang","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2014,9,27]]},"reference":[{"key":"9899_CR1","doi-asserted-by":"crossref","first-page":"021010","DOI":"10.1115\/1.4005323","volume":"7","author":"MP Aghababa","year":"2012","unstructured":"M.P. Aghababa, Robust finite-time stabilization of fractional-order chaotic systems based on fractional lyapunov stability theory. J. Comput. Nonlinear Dyn. 7, 021010 (2012)","journal-title":"J. Comput. Nonlinear Dyn."},{"issue":"5","key":"9899_CR2","doi-asserted-by":"crossref","first-page":"724","DOI":"10.1109\/TAC.2005.847042","volume":"50","author":"F Amato","year":"2005","unstructured":"F. Amato, M. Ariola, Finite-time control of discrete-time linear system. IEEE Trans. Autom. Control 50(5), 724\u2013729 (2005)","journal-title":"IEEE Trans. Autom. Control"},{"key":"9899_CR3","doi-asserted-by":"crossref","unstructured":"F. Amato, M. Ariola, C. Cosentino, Finite-time stability of linear time-varying systems: analysis and controller design. IEEE Trans. Autom. Control 55(4), 1003\u20131008 (2010a)","DOI":"10.1109\/TAC.2010.2041680"},{"key":"9899_CR4","doi-asserted-by":"crossref","unstructured":"F. Amato, C. Cosentino, A. Merola, Sufficient conditions for finite-time stability and stabilization of nonlinear quadratic systems. IEEE Trans. Autom. Control 55(2), 430\u2013434 (2010b)","DOI":"10.1109\/TAC.2009.2036312"},{"issue":"4","key":"9899_CR5","doi-asserted-by":"crossref","first-page":"861","DOI":"10.1109\/TAC.2008.2010965","volume":"54","author":"R Ambrosino","year":"2009","unstructured":"R. Ambrosino, F. Calabrese, C. Cosentino, G. De Tommasi, Sufficient conditions for finite-time stability of impulsive dynamical systems. IEEE Trans. Autom. Control 54(4), 861\u2013865 (2009)","journal-title":"IEEE Trans. Autom. Control"},{"key":"9899_CR6","doi-asserted-by":"crossref","first-page":"2433","DOI":"10.1007\/s11071-011-0157-5","volume":"67","author":"H Delavari","year":"2012","unstructured":"H. Delavari, D. Baleanu, J. Sadati, Stability analysis of Caputo fractional-order nonlinear systems revisited. Nonlinear Dyn. 67, 2433\u20132439 (2012)","journal-title":"Nonlinear Dyn."},{"key":"9899_CR7","doi-asserted-by":"crossref","unstructured":"K. Diethelm, The analysis of fractional differential equations, in Lecture Notes in Mathematics (2010)","DOI":"10.1007\/978-3-642-14574-2"},{"key":"9899_CR8","unstructured":"P. Dorato, Short time stability in linear time-varying systems, in Proceedings of IRE International Convention Record Part 4 (1961), pp. 83\u201387"},{"key":"9899_CR9","doi-asserted-by":"crossref","unstructured":"H.B. Du, X.Z. Lin, S.H. Li, Finite-time stability and stabilization of switched linear systems, in Proceedings of 48th IEEE Conference Decision and Control, Shanghai, P.R. China (2009), pp. 1938\u20131943","DOI":"10.1109\/CDC.2009.5399646"},{"key":"9899_CR10","doi-asserted-by":"crossref","unstructured":"M. Fe $$\\breve{c}$$ c \u02d8 kan, Y. Zhou, J.R. Wang, On the concept and existence of solution for impulsive fractional differential equations. Commun. Nonlinear Sci. Numer. Simul. 17, 3050\u20133060 (2012)","DOI":"10.1016\/j.cnsns.2011.11.017"},{"issue":"2","key":"9899_CR11","doi-asserted-by":"crossref","first-page":"364","DOI":"10.1109\/TAC.2008.2008325","volume":"54","author":"G Garcia","year":"2009","unstructured":"G. Garcia, S. Tarbouriech, J. Bernussou, Finite-time stabilization of linear time-varying continuous systems. IEEE Trans. Autom. Control 54(2), 364\u2013369 (2009)","journal-title":"IEEE Trans. Autom. Control"},{"key":"9899_CR12","doi-asserted-by":"crossref","first-page":"81","DOI":"10.1016\/0888-3270(91)90016-X","volume":"5","author":"L Gaul","year":"1991","unstructured":"L. Gaul, P. Klein, S. Kempfle, Damping description involving fractional operators. Mech. Syst. Signal Process. 5, 81\u201388 (1991)","journal-title":"Mech. Syst. Signal Process."},{"key":"9899_CR13","doi-asserted-by":"crossref","first-page":"46","DOI":"10.1016\/S0006-3495(95)80157-8","volume":"68","author":"WG Glockle","year":"1995","unstructured":"W.G. Glockle, T.F. Nonnenmacher, A fractional calculus approach of selfsimilar protein dynamics. Biophys. J. 68, 46\u201353 (1995)","journal-title":"Biophys. J."},{"key":"9899_CR14","doi-asserted-by":"crossref","DOI":"10.1515\/9781400865246","volume-title":"Impulsive and Hybrid Dynamical Systems: Stability, Dissipativity, and Control","author":"WM Haddad","year":"2006","unstructured":"W.M. Haddad, V. Chellaboina, S.G. Nersesov, Impulsive and Hybrid Dynamical Systems: Stability, Dissipativity, and Control (Princeton University Press, Princeton, 2006)"},{"key":"9899_CR15","doi-asserted-by":"crossref","DOI":"10.1142\/3779","volume-title":"Applications of Fractional Calculus in Physics","author":"R Hilfer","year":"2000","unstructured":"R. Hilfer, Applications of Fractional Calculus in Physics (World Scientific, Singapore, 2000)"},{"key":"9899_CR16","volume-title":"Theory of Fractional Dynamic Systems","author":"V Lakshmikantham","year":"2009","unstructured":"V. Lakshmikantham, S. Leela, J. Devi Vasundhara, Theory of Fractional Dynamic Systems (Cambridge Scientific Publishers, Cambridge, 2009)"},{"key":"9899_CR17","doi-asserted-by":"crossref","first-page":"269","DOI":"10.1016\/j.mechrescom.2005.08.010","volume":"33","author":"MP Lazarevi\u0107","year":"2006","unstructured":"M.P. Lazarevi\u0107, Finite time stability analysis of $$\\text{ PD }^\\alpha $$ PD \u03b1 fractional control of robotic time-delay systems. Mech. Res. Commun. 33, 269\u2013279 (2006)","journal-title":"Mech. Res. Commun."},{"issue":"4","key":"9899_CR18","doi-asserted-by":"crossref","first-page":"440","DOI":"10.1111\/j.1934-6093.2005.tb00407.x","volume":"7","author":"MP Lazarevi\u0107","year":"2005","unstructured":"M.P. Lazarevi\u0107, D.L. Debeljkovi\u0107, Finite time stability analysis of linear autonomous fractional order systems with delayed state. Asian J Control 7(4), 440\u2013447 (2005)","journal-title":"Asian J Control"},{"key":"9899_CR19","doi-asserted-by":"crossref","first-page":"1965","DOI":"10.1016\/j.automatica.2009.04.003","volume":"45","author":"Y Li","year":"2009","unstructured":"Y. Li, Y.Q. Chen, I. Podlubny, Mittag\u2013Leffler stability of fractional order nonlinear dynamic systems. Automatica 45, 1965\u20131969 (2009)","journal-title":"Automatica"},{"key":"9899_CR20","volume-title":"Switched and Impulsive Systems: Analysis, Design and Applications (Lecture Notes in Control and Information Sciences)","author":"ZG Li","year":"2005","unstructured":"Z.G. Li, Y.C. Soh, C.Y. Wen, Switched and Impulsive Systems: Analysis, Design and Applications (Lecture Notes in Control and Information Sciences) (Springer-Verlag, New York, Inc., Secaucus, NJ, 2005)"},{"key":"9899_CR21","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-0017-8","volume-title":"Switching in Systems and Control","author":"D Liberzon","year":"2003","unstructured":"D. Liberzon, Switching in Systems and Control (Birkhauser, Boston, 2003)"},{"issue":"1","key":"9899_CR22","first-page":"33","volume":"10","author":"LJ Long-Jye Sheu","year":"2009","unstructured":"L.J. Long-Jye Sheu et al., Parametric analysis and impulsive synchronization of fractional-order Newton\u2013Leipnik systems. Int. J. Nonlinear Sci. Numer. Simul. 10(1), 33\u201344 (2009)","journal-title":"Int. J. Nonlinear Sci. Numer. Simul."},{"key":"9899_CR23","doi-asserted-by":"crossref","first-page":"291","DOI":"10.1007\/978-3-7091-2664-6_7","volume-title":"Fractals and Fractional Calculus in Continuum Mechanics","author":"F Mainardi","year":"1997","unstructured":"F. Mainardi, Fractional calculus: some basic problems in continuum and statistical mechanics, in Fractals and Fractional Calculus in Continuum Mechanics, ed. by A. Carpinteri, F. Mainardi (Springer, Wien, 1997), pp. 291\u2013348"},{"key":"9899_CR24","doi-asserted-by":"crossref","first-page":"7180","DOI":"10.1063\/1.470346","volume":"103","author":"F Metzler","year":"1995","unstructured":"F. Metzler, W. Schick, H.G. Kilian, T.F. Nonnenmacher, Relaxation in filled polymers: a fractional calculus approach. J. Chem. Phys. 103, 7180\u20137186 (1995)","journal-title":"J. Chem. Phys."},{"key":"9899_CR25","doi-asserted-by":"crossref","first-page":"2503","DOI":"10.1155\/S0161171204312366","volume":"47","author":"S Momani","year":"2004","unstructured":"S. Momani, S. Hadid, Lyapunov stability solutions of fractional integrodifferential equations. Int. J. Math. Math. Sci. 47, 2503\u20132507 (2004)","journal-title":"Int. J. Math. Math. Sci."},{"key":"9899_CR26","volume-title":"Fractional Differential Equations","author":"I Podlubny","year":"1999","unstructured":"I. Podlubny, Fractional Differential Equations (Academic Press, San Diego, 1999)"},{"issue":"4","key":"9899_CR27","first-page":"367","volume":"5","author":"I Podlubny","year":"2002","unstructured":"I. Podlubny, Geometric and physical interpretation of fractional integration and fractional differentiation. Fract. Calc. Appl. Anal. 5(4), 367\u2013386 (2002)","journal-title":"Fract. Calc. Appl. Anal."},{"issue":"5","key":"9899_CR28","doi-asserted-by":"crossref","first-page":"765","DOI":"10.1007\/s00397-005-0043-5","volume":"45","author":"I Podlubny","year":"2006","unstructured":"I. Podlubny, N. Heymans, Physical interpretation of initial conditions for fractional differential equations with Riemann\u2013Liouville fractional derivatives. Rheol. Acta 45(5), 765\u2013772 (2006)","journal-title":"Rheol. Acta"},{"key":"9899_CR29","unstructured":"J. Sabatier, On stability of fractional order systems, in Plenary Lecture VIII on 3rd IFAC Workshop on Fractional Differentiation and Its Applications (2008)"},{"key":"9899_CR30","doi-asserted-by":"crossref","unstructured":"I. Stamova, G. Stamov, Stability analysis of impulsive functional systems of fractional order. Commun. Nonlinear Sci. Numer. Simul. (2013). doi: 10.1016\/j.cnsns.2013.07.005","DOI":"10.1016\/j.cnsns.2013.07.005"},{"key":"9899_CR31","doi-asserted-by":"crossref","unstructured":"K.C. Sung, K. Bowon, K. Namjip, Stability for caputo fractional differential systems, in Abstract and Applied Analysis (2014), Article ID 631419","DOI":"10.1155\/2014\/631419"},{"issue":"3","key":"9899_CR32","doi-asserted-by":"crossref","first-page":"281","DOI":"10.1142\/S0129167X07004102","volume":"18","author":"VE Tarasov","year":"2007","unstructured":"V.E. Tarasov, Fractional derivative as fractional power of derivative. Int. J. Math. 18(3), 281\u2013299 (2007)","journal-title":"Int. J. Math."},{"key":"9899_CR33","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-14003-7","volume-title":"Fractional Dynamics: Application of Fractional Calculus to Dynamics of Particles, Fields and Media","author":"VE Tarasov","year":"2010","unstructured":"V.E. Tarasov, Fractional Dynamics: Application of Fractional Calculus to Dynamics of Particles, Fields and Media (Springer, HEP, Beijing, 2010)"},{"key":"9899_CR34","doi-asserted-by":"crossref","first-page":"65","DOI":"10.7151\/dmdico.1144","volume":"33","author":"G Toufik","year":"2013","unstructured":"G. Toufik, Existence and controllability of fractional-order impulsive stochastic system with infinite delay. Discuss. Math. Differ. Incl. Control Optim. 33, 65\u201387 (2013)","journal-title":"Discuss. Math. Differ. Incl. Control Optim."},{"issue":"1","key":"9899_CR35","doi-asserted-by":"crossref","first-page":"54","DOI":"10.1109\/TAC.1967.1098483","volume":"12","author":"L Weiss","year":"1967","unstructured":"L. Weiss, E.F. Infante, Finite time stability under perturbing forces and on product spaces. IEEE Trans. Autom. Control 12(1), 54\u201359 (1967)","journal-title":"IEEE Trans. Autom. Control"},{"issue":"2","key":"9899_CR36","first-page":"89","volume":"3","author":"D Xu","year":"2011","unstructured":"D. Xu, Y. Hueng, L. Ling, Existence of positive solutions of an impulsive delay fishing model. Bull. Math. Anal. Appl. 3(2), 89\u201394 (2011)","journal-title":"Bull. Math. Anal. Appl."},{"key":"9899_CR37","doi-asserted-by":"crossref","first-page":"1075","DOI":"10.1016\/j.jmaa.2006.05.061","volume":"328","author":"HP Ye","year":"2007","unstructured":"H.P. Ye, J.M. Gao, Y.S. Ding, A generalized Gronwall inequality and its application to a fractional differential equation. J. Math. Anal. Appl 328, 1075\u20131081 (2007)","journal-title":"J. Math. Anal. Appl"},{"key":"9899_CR38","doi-asserted-by":"crossref","unstructured":"F.R. Zhang, C.P. Li, Y.Q. Chen, Asymptotical stability of nonlinear fractional differential system with Caputo derivative. Int. J. Differ. Equ. (2011) Article ID 635165","DOI":"10.1155\/2011\/213485"},{"issue":"11","key":"9899_CR39","doi-asserted-by":"crossref","first-page":"1824","DOI":"10.1080\/00207170801898893","volume":"81","author":"S Zhao","year":"2008","unstructured":"S. Zhao, J. Sun, L. Liu, Finite-time stability of linear time-varying singular systems with impulsive effects. Int. J. Control 81(11), 1824\u20131829 (2008)","journal-title":"Int. J. Control"}],"container-title":["Circuits, Systems, and Signal Processing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00034-014-9899-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00034-014-9899-x\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00034-014-9899-x","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,15]],"date-time":"2019-08-15T12:42:46Z","timestamp":1565872966000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00034-014-9899-x"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,9,27]]},"references-count":39,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2015,4]]}},"alternative-id":["9899"],"URL":"https:\/\/doi.org\/10.1007\/s00034-014-9899-x","relation":{},"ISSN":["0278-081X","1531-5878"],"issn-type":[{"value":"0278-081X","type":"print"},{"value":"1531-5878","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,9,27]]}}}