Stochastic stability and stabilization conditions of semi-Markovian jump systems with mode transition-dependent sojourn-time distributions

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• 作者：Sung Hyun Kim ^{shnkim@ulsan.ac.kr ie222@postech.ac.kr}
• 关键词：Stochastic stability and stabilization ; Semi-Markovian jump systems ; Sojourn-time distribution ; Relaxation method
• 刊名：Information Sciences
• 出版年：2017
• 出版时间：April 2017
• 年：2017
• 卷：385-386
• 期：Complete
• 页码：314-324
• 全文大小：1037 K
• 卷排序：385

文摘

This paper is concerned with the stochastic stability and stabilization problem for a class of continuous-time semi-Markovian jump systems (S-MJSs) with mode transition-dependent sojourn-time distributions. In contrast to other approaches, this paper offers the possibility to explore more refined probability models on the sojourn-time by considering the mode transition-dependent sojourn-time distributions instead of mode-dependent ones. Here, to construct a finite set of linear matrix inequalities (LMIs) from sojourn-time-dependent matrix inequalities, a less conservative relaxation method is proposed in such a way that all available constraints on time-varying transition rates can be exploited. Simulation examples report the effectiveness of the proposed method.