Stability analysis and L1-gain characterization for uncertain Markovian hybrid switching positive systems
作者：
Highlights：
• In this paper, the problem of stability analysis and L1-gain characterization for uncertain Markovian hybrid switching positive systems is investigated. The key feature in the paper is that the switching mechanism is described by a general class of hybrid switching laws, which is comprised of Markovian switchings and deterministic switchings.
• To develop the criteria ensuring the stochastically exponential stability and L1-gain, multiple time-varying copositive Lyapunov functions are constructed by using the mode-dependent time interval segmentation technique.
• Moreover, two special cases are also under investigation via our proposed method and two new results are provided.
• Finally, a numerical example and a practical example are provided to illustrate the obtained results.
摘要
•In this paper, the problem of stability analysis and L1-gain characterization for uncertain Markovian hybrid switching positive systems is investigated. The key feature in the paper is that the switching mechanism is described by a general class of hybrid switching laws, which is comprised of Markovian switchings and deterministic switchings.•To develop the criteria ensuring the stochastically exponential stability and L1-gain, multiple time-varying copositive Lyapunov functions are constructed by using the mode-dependent time interval segmentation technique.•Moreover, two special cases are also under investigation via our proposed method and two new results are provided.•Finally, a numerical example and a practical example are provided to illustrate the obtained results.
论文关键词：Hybrid switching law,L1-gain,Stability,Switching positive systems
论文评审过程：Received 25 January 2021, Revised 2 May 2021, Accepted 3 July 2021, Available online 14 July 2021, Version of Record 14 July 2021.
论文官网地址：https://doi.org/10.1016/j.amc.2021.126503
