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Admissibility analysis of stochastic singular systems with Poisson switching

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  • Jiao, Ticao
  • Zong, Guangdeng
  • Pang, Guochen
  • Zhang, Housheng
  • Jiang, Jishun

Abstract

This paper addresses the mean square admissibility problem for a class of stochastic singular systems with Poisson switching. By using H-representation approach, we show the equivalence between mean square admissibility and robust admissibility of a deterministic system, which is an extension of the result in the case of deterministic system [1]. Based on multiple Lyapunov functions and matrix decomposition approaches, some easily verifiable sufficient conditions without equality constraint are established and can be conveniently used to state feedback controller design. Some admissibility criteria are constructed for linear singular systems with Poisson switching. Three examples including a RLC circuit and a mass-spring-damper system are introduced to demonstrate the validity of the theoretical results.

Suggested Citation

  • Jiao, Ticao & Zong, Guangdeng & Pang, Guochen & Zhang, Housheng & Jiang, Jishun, 2020. "Admissibility analysis of stochastic singular systems with Poisson switching," Applied Mathematics and Computation, Elsevier, vol. 386(C).
    • Handle: RePEc:eee:apmaco:v:386:y:2020:i:c:s0096300320304665
    DOI: 10.1016/j.amc.2020.125508
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    References listed on IDEAS

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    1. Liu, Guobao & Xu, Shengyuan & Wei, Yunliang & Qi, Zhidong & Zhang, Zhengqiang, 2018. "New insight into reachable set estimation for uncertain singular time-delay systems," Applied Mathematics and Computation, Elsevier, vol. 320(C), pages 769-780.
    2. Yan, Zhiguo & Park, Ju H. & Zhang, Weihai, 2018. "A unified framework for asymptotic and transient behavior of linear stochastic systems," Applied Mathematics and Computation, Elsevier, vol. 325(C), pages 31-40.
    3. Jiao, Shiyu & Shen, Hao & Wei, Yunliang & Huang, Xia & Wang, Zhen, 2018. "Further results on dissipativity and stability analysis of Markov jump generalized neural networks with time-varying interval delays," Applied Mathematics and Computation, Elsevier, vol. 336(C), pages 338-350.
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    1. Sergey Goolak & Viktor Tkachenko & Svitlana Sapronova & Vaidas Lukoševičius & Robertas Keršys & Rolandas Makaras & Artūras Keršys & Borys Liubarskyi, 2022. "Synthesis of the Current Controller of the Vector Control System for Asynchronous Traction Drive of Electric Locomotives," Energies, MDPI, vol. 15(7), pages 1-19, March.
    2. Chen, Wenbin & Lu, Junwei & Zhuang, Guangming & Gao, Fang & Zhang, Zhengqiang & Xu, Shengyuan, 2022. "Further results on stabilization for neutral singular Markovian jump systems with mixed interval time-varying delays," Applied Mathematics and Computation, Elsevier, vol. 420(C).

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