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Interval stability/stabilization for linear stochastic switched systems with time-varying delay

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  • Deng, Yalin
  • Zhang, Huasheng
  • Dai, Yuzhen
  • Li, Yuanen

Abstract

In this paper, the interval stability/stabilization of linear stochastic switched time-varying delay systems are considered. Firstly, the interval stability is defined and the sufficient conditions for the interval stability of linear stochastic switched systems are addressed. Different from current stability conditions, the interval stability criterion can make more accurate judgment than stability of linear stochastic switched time-varying delay systems. Secondly, the criterion of interval stabilization is gained by linear matrix inequalities, which can not merely ensure the stability of the system, but also accelerate or slow down the convergence of the system. Finally, the validity of the theoretical results is verified by a digital simulation and water quality preservation problem.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:apmaco:v:428:y:2022:i:c:s0096300322002752
    DOI: 10.1016/j.amc.2022.127201
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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. 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.
    3. Sakthivel, R. & Saravanakumar, T. & Kaviarasan, B. & Marshal Anthoni, S., 2016. "Dissipativity based repetitive control for switched stochastic dynamical systems," Applied Mathematics and Computation, Elsevier, vol. 291(C), pages 340-353.
    4. Junfeng Zhang & Xudong Zhao & Ridong Zhang & Shaosheng Zhou, 2017. "Dual approach to stability and stabilisation of uncertain switched positive systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(4), pages 873-884, March.
    5. Li, Shuo & Xiang, Zhengrong, 2020. "Positivity, exponential stability and disturbance attenuation performance for singular switched positive systems with time-varying distributed delays," Applied Mathematics and Computation, Elsevier, vol. 372(C).
    6. Manlika Rajchakit & Grienggrai Rajchakit, 2012. "Mean Square Exponential Stability of Stochastic Switched System with Interval Time-Varying Delays," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-12, June.
    7. Guoxin Chen & Zhengrong Xiang & Hamid Reza Karimi, 2013. "Observer-Based Robust Control for Switched Stochastic Systems with Time-Varying Delay," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-12, September.
    8. Zhengrong Xiang & Guoxin Chen, 2012. "Stability Analysis and Robust Control of Switched Stochastic Systems with Time-Varying Delay," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-17, May.
    9. Sun, Shaoxin & Wang, Yingchun & Zhang, Huaguang & Sun, Jiayue, 2020. "Multiple intermittent fault estimation and tolerant control for switched T-S fuzzy stochastic systems with multiple time-varying delays," Applied Mathematics and Computation, Elsevier, vol. 377(C).
    10. Huang, Xin & Liu, Yamin & Wang, Yang & Zhou, Jianping & Fang, Muyun & Wang, Zhen, 2020. "L2−L∞ consensus of stochastic delayed multi-agent systems with ADT switching interaction topologies," Applied Mathematics and Computation, Elsevier, vol. 368(C).
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    Cited by:

    1. Qi, Yiwen & Qu, Ziyu & Yao, Zhaohui & Zhao, Xiujuan & Tang, Yiwen, 2023. "Event-Triggered iterative learning control for asynchronously switched systems," Applied Mathematics and Computation, Elsevier, vol. 440(C).
    2. Li, Yuanen & Zhang, Huasheng & Zhang, Tingting & Geng, Han, 2023. "Interval stability/stabilization and H∞ feedback control for linear impulsive stochastic systems," Applied Mathematics and Computation, Elsevier, vol. 437(C).

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