Novel Lyapunov–Krasovskii functions are introduced, and a new finite-time stability criterion is derived byemploying the average dwell time (ADT) approach and linear matrix inequality technique.An example is given to illustrate the effectiveness of the proposed method.
📌 3 Maddede Bu Makale
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Amaç & Hipotez:This paper is concerned with the problem of finite-time stability (FTS) of a class ofswitched systems with delayed arguments and nonlinear perturbations which are relatednot only with the current state and the delayed state but also with timet.
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Temel Bulgular & Veri:This paper is concerned with the problem of finite-time stability (FTS) of a class ofswitched systems with delayed arguments and nonlinear perturbations which are relatednot only with the current state and the delayed state but also with timet.
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Sonuç & Katkı:Novel Lyapunov–Krasovskii functions are introduced, and a new finite-time stability criterion is derived byemploying the average dwell time (ADT) approach and linear matrix inequality technique.An example is given to illustrate the effectiveness of the proposed method.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri
Abstract
This paper is concerned with the problem of finite-time stability (FTS) of a class ofswitched systems with delayed arguments and nonlinear perturbations which are relatednot only with the current state and the delayed state but also with timet. Novel Lyapunov–Krasovskii functions are introduced, and a new finite-time stability criterion is derived byemploying the average dwell time (ADT) approach and linear matrix inequality technique.An example is given to illustrate the effectiveness of the proposed method.
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Bu Makaleye Atıf Yap
FU, Y., CUİ, N., ZHANG, C., Lİ, T. (2022). Finite-time stability of switched systems withdelayed arguments and nonlinear perturbations. Hacettepe Journal of Mathematics and Statistics, Cilt: 49 - Sayı: 1, 162–169. https://ajindex.com/articles/529602
F. Amato, R. Ambrosino, M. Ariola, and C. Cosentino,Finite-time stability of lineartime-varying systems with jumps, Automatica J. IFAC45, 1354–1358, 2009. [2]F. Amato, M. Ariola, and P. Dorato,Finite-time control of linear systems subject toparametric uncertainties and disturbances, Automatica J. IFAC37, 1459–1463, 2001. [3]M. Bohner, T.S. Hassan, and T. Li,Fite–Hille–Wintner-type oscillation criteria forsecond-order half-linear dynamic equations with deviating arguments, Indag. Math.(N.S.)29, 548–560, 2018. [4]P. Dorato,Short-time stability in linear time-varying systems, in: Proceedings of theIRE International Convention Record Part 4, New York, pp. 83–87, 1961. [5]J.P. Hespanha and A.S. Morse,Stability of switched systems with average dwell-time,in: Proceedings of the 38th IEEE Conference on Decision and Control, Phoenix, pp.2655–2660, 1999. [6]Z. Ji, L. Wang, and X. Guo,On controllability of switched linear systems, IEEE Trans.Automat. Control53, 796–801, 2008. [7]T. Li and Yu.V. Rogovchenko,Oscillation criteria for second-order superlinearEmden–Fowler neutral differential equations, Monatsh. Math.184, 489–500, 2017. [8]D. Liberzon,Switching in Systems and Control(Birkhäuser, Boston, 2003). [9]H. Lin and P.J. Antsaklis,Stability and stabilizability of switched linear systems: asurvey on recent results, IEEE Trans. Automat. Control54, 308–322, 2009. [10]X. Lin, H. Du, and S. Li,Finite-time boundedness andL2-gain analysis for switcheddelay systems with norm-bounded disturbance, Appl. Math. Comput.217, 5982–5993,2011. [11]X. Lin, X. Li, S. Li, and Y. Zou,Finite-time boundedness for switched systems withsector bounded nonlinearity and constant time delay, Appl. Math. Comput.274, 25–40, 2016. [12]X. Liu,Stability analysis of a class of nonlinear positive switched systems with delays,Nonlinear Anal. Hybrid Syst.16, 1–12, 2015. [13]J. Liu, J. Lian, and Y. Zhuang,Output feedbackL1finite-time control of switchedpositive delayed systems with MDADT, Nonlinear Anal. Hybrid Syst.15, 11–22, 2015. [14]D. Liu, X. Liu, and G. Xiao,Stability andL2-gain analysis for switched systems withinterval time-varying delay, IET Control Theory Appl.9, 1644–1652, 2015. [15]F. Pan, X.-B. Chen, and L. Lin,Practical stability analysis of stochastic swarms, in:The 3rd International Conference on Innovative Computing, Information and Control,Dalian, pp. 32–36, 2008. [16]Y. Tian, Y. Cai, Y. Sun, and H. Gao,Finite-time stability for impulsive switcheddelay systems with nonlinear distur