Stability analysis and L1-gain characterization for uncertain Markovian hybrid switching positive systems

Fuqi Zheng, Jian Liu, Ticao Jiao, Cunshan Zhang, Jianrong Zhao, Jishun Jiang and Xiaomei Qi

Applied Mathematics and Computation, 2021, vol. 411, issue C

Abstract: 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. By using the mode-dependent time interval segmentation technique, multiple time-varying copositive Lyapunov functions are constructed. Then, the criteria ensuring the stochastically exponential stability and L1-gain are derived. Finally, a numerical example and a practical one are provided to illustrate the obtained results.

Keywords: Hybrid switching law; L1-gain; Stability; Switching positive systems (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:411:y:2021:i:c:s0096300321005920

DOI: 10.1016/j.amc.2021.126503

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