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Estimation of reachable set for switched singular systems with time-varying delay and state jump

Author

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  • Feng, Zhiguang
  • Zhang, Xinyue
  • Lam, James
  • Fan, Chenchen

Abstract

This paper addresses the estimation problem of the reachable set for switched singular systems with state jump under initial condition and bounded peak disturbance. The aim is to determine a bounded set that contains all reachable states. Initially, a state jump lemma is presented for switched singular systems. Then, a new bounding lemma is shown by analyzing the variation of piecewise continuous functional in subintervals and referencing the definition of the average dwell-time. Afterwards, using lemmas and linear matrix inequalities, sufficient conditions are derived for switched singular systems with and without time-varying delay, which ensure that the state trajectory of the system remains within a closed bounded set. Finally, the obtained results are validated through numerical examples.

Suggested Citation

  • Feng, Zhiguang & Zhang, Xinyue & Lam, James & Fan, Chenchen, 2023. "Estimation of reachable set for switched singular systems with time-varying delay and state jump," Applied Mathematics and Computation, Elsevier, vol. 456(C).
    • Handle: RePEc:eee:apmaco:v:456:y:2023:i:c:s0096300323003016
    DOI: 10.1016/j.amc.2023.128132
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    References listed on IDEAS

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    1. Jin, Shuowei & Pang, Yongheng & Zhou, Xiaoming & Yan, Aiyun & Wang, Wei & Hu, Wenbo, 2021. "Robust finite-Time control and reachable set estimation for uncertain switched neutral systems with time delays and input constraints," Applied Mathematics and Computation, Elsevier, vol. 407(C).
    2. 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).
    3. Zhang, Liang & Feng, Zhiguang & Jiang, Zhengyi & Zhao, Ning & Yang, Yang, 2020. "Improved results on reachable set estimation of singular systems," Applied Mathematics and Computation, Elsevier, vol. 385(C).
    4. Kang, Yu & Zhang, Niankun & Chen, Guoyong, 2023. "Global exponential stability of impulsive switched positive nonlinear systems with mode-dependent impulses," Applied Mathematics and Computation, Elsevier, vol. 436(C).
    5. Yang, Anqing & Ma, Shuping, 2023. "Event-triggered control for switched singular systems with asynchronous switching and state jumps," Applied Mathematics and Computation, Elsevier, vol. 437(C).
    6. Chen, Ruihan & Guo, Moxuan & Zhu, Song & Qi, Yongqiang & Wang, Min & Hu, Junhao, 2022. "Reachable set bounding for linear systems with mixed delays and state constraints," Applied Mathematics and Computation, Elsevier, vol. 425(C).
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