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Stability analysis of discrete-time semi-Markov jump linear systems with partly unknown semi-Markov kernel
Systems & Control Letters ( IF 2.6 ) Pub Date : 2020-06-01 , DOI: 10.1016/j.sysconle.2020.104688
Bao Wang , Quanxin Zhu

Abstract This paper is concerned with the problems of stability analysis and stabilization synthesis for a class of discrete-time semi-Markov jump linear systems. The novel sufficient stability conditions for such systems are obtained, in which the sojourn times are allowed to be unbounded, and thus these conditions are applicable to discrete-time Markov jump linear systems. Moreover, by truncating the sojourn times of switching process to be bounded, the numerically testable existence conditions of stabilizing controller for the resulting closed-loop systems with partly unknown semi-Markov kernel are obtained. An example is given to illustrate the effectiveness of our results.

中文翻译:

半马尔可夫核部分未知的离散时间半马尔可夫跳跃线性系统的稳定性分析

摘要 本文研究一类离散时间半马尔可夫跳跃线性系统的稳定性分析和镇定综合问题。获得了此类系统新的充分稳定条件,其中允许逗留时间无界,因此这些条件适用于离散时间马尔可夫跳跃线性系统。此外,通过截断有界切换过程的逗留次数,得到了半马尔可夫核部分未知的闭环系统的稳定控制器的数值可检验存在条件。给出了一个例子来说明我们结果的有效性。
更新日期:2020-06-01
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