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State bounding for discrete-time switched nonlinear time-varying systems using ADT method

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  • Zhang, Jie
  • Sun, Yuangong
  • Meng, Fanwei

Abstract

This article deals with the state bounding problem for discrete-time switched nonlinear time-varying systems with multiple time delays and bounded disturbances. With the aid of the average dwell time method and a technique used in positive systems, we put forward new criteria such that all solutions of the system exponentially converge to a ball under the designed average dwell time (ADT) switching, where the given ADT does not depend on the upper bound of delays. Simulation and numerical examples are presented to illustrate the validity of our results.

Suggested Citation

  • Zhang, Jie & Sun, Yuangong & Meng, Fanwei, 2020. "State bounding for discrete-time switched nonlinear time-varying systems using ADT method," Applied Mathematics and Computation, Elsevier, vol. 372(C).
    • Handle: RePEc:eee:apmaco:v:372:y:2020:i:c:s0096300319309944
    DOI: 10.1016/j.amc.2019.125002
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    References listed on IDEAS

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    1. Cheng, Jun & Zhan, Yang, 2020. "Nonstationary l2−l∞ filtering for Markov switching repeated scalar nonlinear systems with randomly occurring nonlinearities," Applied Mathematics and Computation, Elsevier, vol. 365(C).
    2. Qi, Wenhai & Gao, Xianwen, 2016. "H∞ observer design for stochastic time-delayed systems with Markovian switching under partly known transition rates and actuator saturation," Applied Mathematics and Computation, Elsevier, vol. 289(C), pages 80-97.
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    Cited by:

    1. Zhou, Yusheng & Chen, Danhong, 2021. "Optimized state-dependent switching law design for a class of switched nonlinear systems with two unstable subsystems," Applied Mathematics and Computation, Elsevier, vol. 397(C).
    2. Zhang, Jie & Sun, Yuangong, 2021. "Practical exponential stability of discrete-time switched linear positive systems with impulse and all modes unstable," Applied Mathematics and Computation, Elsevier, vol. 409(C).
    3. Sun, Yuangong & Tian, Yazhou, 2022. "Polynomial stability of positive switching homogeneous systems with different degrees," Applied Mathematics and Computation, Elsevier, vol. 414(C).

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