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Exponential stabilization of switched time-varying systems with delays and disturbances

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Listed:
  • Li, Yanan
  • Sun, Yuangong
  • Meng, Fanwei
  • Tian, Yazhou

Abstract

This paper deals with exponential stabilization for a class of switched time-varying systems. By taking time-varying delays and nonlinear disturbances into consideration, time dependent switching signals have been characterized in terms of Metzler matrices such that the resulting system is globally exponentially stable. Compared with preceding works, we introduce a model transformation and an approach without involving the Lyapunov-Krasovskii functional to derive new exponential stability criteria for switched time-varying systems under the average dwell time switching. Numerical examples show that the obtained theoretical results can be applied to some cases not covered by some existing results.

Suggested Citation

  • Li, Yanan & Sun, Yuangong & Meng, Fanwei & Tian, Yazhou, 2018. "Exponential stabilization of switched time-varying systems with delays and disturbances," Applied Mathematics and Computation, Elsevier, vol. 324(C), pages 131-140.
    • Handle: RePEc:eee:apmaco:v:324:y:2018:i:c:p:131-140
    DOI: 10.1016/j.amc.2017.12.011
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    References listed on IDEAS

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    1. Ding, Xiuyong & Liu, Xiu, 2017. "On stabilizability of switched positive linear systems under state-dependent switching," Applied Mathematics and Computation, Elsevier, vol. 307(C), pages 92-101.
    2. Wang, Ronghao & Xing, Jianchun & Xiang, Zhengrong, 2018. "Finite-time stability and stabilization of switched nonlinear systems with asynchronous switching," Applied Mathematics and Computation, Elsevier, vol. 316(C), pages 229-244.
    3. Wang, Yijing & Zou, Yanchao & Zuo, Zhiqiang & Li, Hongchao, 2016. "Finite-time stabilization of switched nonlinear systems with partial unstable modes," Applied Mathematics and Computation, Elsevier, vol. 291(C), pages 172-181.
    4. Liu, Lei & Zhou, Qi & Liang, Hongjing & Wang, Lijie, 2017. "Stability and Stabilization of Nonlinear Switched Systems Under Average Dwell Time," Applied Mathematics and Computation, Elsevier, vol. 298(C), pages 77-94.
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    Cited by:

    1. Ju, Yanhao & Sun, Yuangong & Meng, Fanwei, 2020. "Stabilization of switched positive system with impulse and marginally stable subsystems: A mode-dependent dwell time method," Applied Mathematics and Computation, Elsevier, vol. 383(C).
    2. Deng, Yalin & Zhang, Huasheng & Dai, Yuzhen & Li, Yuanen, 2022. "Interval stability/stabilization for linear stochastic switched systems with time-varying delay," Applied Mathematics and Computation, Elsevier, vol. 428(C).
    3. Göksu, Gökhan & Başer, Ulviye, 2021. "Finite-time stability for switched linear systems by Jordan decomposition," Applied Mathematics and Computation, Elsevier, vol. 395(C).
    4. Zhu, Xingao & Liu, Shutang, 2022. "Reachable set estimation for continuous-time impulsive switched nonlinear time-varying systems with delay and disturbance," Applied Mathematics and Computation, Elsevier, vol. 420(C).
    5. Yuangong Sun & Zhaorong Wu & Fanwei Meng, 2018. "Common Weak Linear Copositive Lyapunov Functions for Positive Switched Linear Systems," Complexity, Hindawi, vol. 2018, pages 1-7, February.
    6. Liang, Mengqian & Tian, Yazhou, 2022. "Practical stability of switched homogeneous positive nonlinear systems: Max-separable Lyapunov function method," Applied Mathematics and Computation, Elsevier, vol. 428(C).
    7. Xingao Zhu & Yuangong Sun, 2019. "Reachable Set Bounding for Homogeneous Nonlinear Systems with Delay and Disturbance," Complexity, Hindawi, vol. 2019, pages 1-6, July.

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