Stability analysis and L1 -gain characterization for uncertain Markovian hybrid switching positive systems
Applied Mathematics and Computation, ISSN: 0096-3003, Vol: 411, Page: 126503
2021
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Article Description
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.
Bibliographic Details
http://www.sciencedirect.com/science/article/pii/S0096300321005920; http://dx.doi.org/10.1016/j.amc.2021.126503; http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=85110553216&origin=inward; https://linkinghub.elsevier.com/retrieve/pii/S0096300321005920; https://dx.doi.org/10.1016/j.amc.2021.126503
Elsevier BV
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