Stabilisation of descriptor Markovian jump systems with partially unknown transition probabilities

Jinghao Li, Qingling Zhang and Xing-Gang Yan

International Journal of Systems Science, 2015, vol. 46, issue 2, 218-226

Abstract: This paper is concerned with the stability and stabilisation problems for continuous-time descriptor Markovian jump systems with partially unknown transition probabilities. In terms of a set of coupled linear matrix inequalities (LMIs), a necessary and sufficient condition is firstly proposed, which ensures the systems to be regular, impulse-free and stochastically stable. Moreover, the corresponding necessary and sufficient condition on the existence of a mode-dependent state-feedback controller, which guarantees the closed-loop systems stochastically admissible by employing the LMI technique, is derived; the stabilizing state-feedback gain can also be expressed via solutions of the LMIs. Finally, numerical examples are given to demonstrate the validity of the proposed methods.

Date: 2015
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Citations: View citations in EconPapers (3)

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DOI: 10.1080/00207721.2013.775394

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