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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 49 Issue: 1

Finite-time stability of switched systems with delayed arguments and nonlinear perturbations

Youliang Fu(Shandong University)0000-0003-4571-6830
Naxin Cui(Shandong University)0000-0001-9118-2951
Chenghui Zhang(Shandong University)0000-0003-2317-5930
Tongxing Li(Linyi University)0000-0002-4039-9648
Sayfa
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Yayın Tarihi
2020-02-06
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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 of switched systems with delayed arguments and nonlinear perturbations which are related not only with the current state and the delayed state but also with time $t$.
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Temel Bulgular & Veri:Novel Lyapunov--Krasovskii functions are introduced, and a new finite-time stability criterion is derived by employing the average dwell time (ADT) approach and linear matrix inequality technique.
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Sonuç & Katkı:An example is given to illustrate the effectiveness of the proposed method.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Finite-time stability · Lyapunov–Krasovskii function · nonlinear perturbation

Abstract

This paper is concerned with the problem of finite-time stability (FTS) of a class of switched systems with delayed arguments and nonlinear perturbations which are related not only with the current state and the delayed state but also with time $t$. Novel Lyapunov--Krasovskii functions are introduced, and a new finite-time stability criterion is derived by employing 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., Cui, N., Zhang, C., Li, T. (2020). Finite-time stability of switched systems with delayed arguments and nonlinear perturbations. Hacettepe Journal of Mathematics and Statistics, Volume: 49 Issue: 1. https://doi.org/10.15672/HJMS.2019.669

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Kaynakça (21)

  1. F. Amato, R. Ambrosino, M. Ariola, and C. Cosentino, Finite-time stability of linear time-varying systems with jumps, Automatica J. IFAC 45, 1354–1358, 2009.
  2. F. Amato, M. Ariola, and P. Dorato, Finite-time control of linear systems subject to parametric uncertainties and disturbances, Automatica J. IFAC 37, 1459–1463, 2001.
  3. M. Bohner, T.S. Hassan, and T. Li, Fite–Hille–Wintner-type oscillation criteria for second-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 the IRE 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. Control 53, 796–801, 2008.
  7. T. Li and Yu.V. Rogovchenko, Oscillation criteria for second-order superlinear Emden–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: a survey on recent results, IEEE Trans. Automat. Control 54, 308–322, 2009.
  10. X. Lin, H. Du, and S. Li, Finite-time boundedness and L2-gain analysis for switched delay 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 with sector 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 feedback L1 finite-time control of switched positive delayed systems with MDADT, Nonlinear Anal. Hybrid Syst. 15, 11–22, 2015.
  14. D. Liu, X. Liu, and G. Xiao, Stability and L2-gain analysis for switched systems with interval 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 switched delay systems with nonlinear disturbances, J. Franklin Inst. 353, 3578–3594, 2016.
  17. P. Wang and X. Liu, Rapid convergence for telegraph systems with periodic boundary conditions, J. Funct. Spaces 2017, 1–10, 2017.
  18. M. Xiang and Z. Xiang, Exponential stability of discrete-time switched linear positive systems with time-delay, Appl. Math. Comput. 230, 193–199, 2014.
  19. Y. Zhang, M. Wang, H. Xu, and K.L. Teo, Global stabilization of switched control systems with time delay, Nonlinear Anal. Hybrid Syst. 14, 86–98, 2014.
  20. K. Zhou and P.P. Khargonekar, Robust stabilization of linear systems with normbounded time-varying uncertainty, Systems Control Lett. 10, 17–20, 1988.
  21. G. Zong, R. Wang, W.X. Zheng, and L. Hou, Finite-time stabilization for a class of switched time-delay systems under asynchronous switching, Appl. Math. Comput. 219, 5757–5771, 2013.