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Non-fragile passive control for Markovian jump systems with time-varying delays

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  • Li, Min
  • Huang, Qinzhen

Abstract

This paper studies the problem of non-fragile passivity-based control for Markovian jump systems with time-varying delays. Based on a delay partitioning method, a modified Lyapunov–Krasovskii functional is constructed to derive sufficient conditions guaranteeing stochastic passivity of the considered systems. Moreover, a non-fragile state feedback controller is designed such that the closed-loop system is robustly stochastically passive. Finally, two numerical examples are given to demonstrate the effectiveness of the proposed method.

Suggested Citation

  • Li, Min & Huang, Qinzhen, 2019. "Non-fragile passive control for Markovian jump systems with time-varying delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    • Handle: RePEc:eee:phsmap:v:534:y:2019:i:c:s0378437119313378
    DOI: 10.1016/j.physa.2019.122332
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    References listed on IDEAS

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    1. Wang, Jun & Shi, Kaibo & Huang, Qinzhen & Zhong, Shouming & Zhang, Dian, 2018. "Stochastic switched sampled-data control for synchronization of delayed chaotic neural networks with packet dropout," Applied Mathematics and Computation, Elsevier, vol. 335(C), pages 211-230.
    2. Shi, Kaibo & Wang, Jun & Zhong, Shouming & Zhang, Xiaojun & Liu, Yajuan & Cheng, Jun, 2019. "New reliable nonuniform sampling control for uncertain chaotic neural networks under Markov switching topologies," Applied Mathematics and Computation, Elsevier, vol. 347(C), pages 169-193.
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    Cited by:

    1. Divya, H. & Sakthivel, R. & Karthick, S.A. & Aouiti, C., 2022. "Non-fragile control design for stochastic Markov jump system with multiple delays and cyber attacks," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 192(C), pages 291-302.
    2. Joby, Maya & Santra, Srimanta & Anthoni, S. Marshal, 2021. "Finite-time contractive boundedness of extracorporeal blood circulation process," Applied Mathematics and Computation, Elsevier, vol. 388(C).

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