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Further results on stabilization for neutral singular Markovian jump systems with mixed interval time-varying delays

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Listed:
  • Chen, Wenbin
  • Lu, Junwei
  • Zhuang, Guangming
  • Gao, Fang
  • Zhang, Zhengqiang
  • Xu, Shengyuan

Abstract

This paper focuses on the mean-square exponentially (ME) admissibility and stabilization for neutral singular Markovian jump systems (NSMJSs) with mixed interval time-varying delays. With the aid of state decomposition approach, a state decomposition Lyapunov-Krasovskii functional (LKF) is founded and some mode-dependent conditions are given to guarantee the unforced NSMJSs to be ME admissible. On this basis, a mode-dependent state feedback controller is presented. By solving the decomposition components of state feedback control parameters, the designed state feedback controller is obtained. It should be pointed out that our results complement and improve the results of the existing literatures. By two number-based examples, the advantage and availability of our methods are presented.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:apmaco:v:420:y:2022:i:c:s009630032100967x
    DOI: 10.1016/j.amc.2021.126884
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    References listed on IDEAS

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    1. Long, Shaohua & Zhang, Yu & Zhong, Shouming, 2024. "New results on the stability and stabilization for singular neutral systems with time delay," Applied Mathematics and Computation, Elsevier, vol. 473(C).

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