 Stabilization of continuous-time randomly switched systems via the LMI approachGuoliang Wang, Qingling Zhang, Chunyu Yang and Chengli Su Applied Mathematics and Computation, 2015, vol. 266, issue C, 527-538 Abstract: This paper is concerned on the stabilization problem of continuous-time switched systems with random switching signal where the dwell time in each subsystem consists of a fixed part and random part. New sufficient conditions for stabilizing controllers including mode-independent case are provided in terms of LMIs, which could be solved directly. Moreover, the obtained results are extended to a more general case that the corresponding operation mode of a controller experiences a disordering phenomenon. Without designing a controller depending on new operation modes (NOMs), a kind of controller only depending on the original operation modes (OOMs) is proposed and satisfies a minimum variance approximation, whose solvable conditions are also with LMI forms. Finally, numerical examples are used to demonstrate the effectiveness of the proposed methods. Keywords: Markovian jump systems; Dwell time; Stabilization; Linear matrix inequalities (LMIs); Disordered operation modes (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:266:y:2015:i:c:p:527-538 DOI: 10.1016/j.amc.2015.05.061 Access Statistics for this article Applied Mathematics and Computation is currently edited by Theodore Simos More articles in Applied Mathematics and Computation from Elsevier |
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