时滞离散马氏跳跃线性系统的部分Lévy镇定

摘要

研究了时滞离散马氏跳跃线性系统的部分Lévy镇定问题。通过对马尔科夫链的分类，将时滞离散马氏跳跃线性系统分为可观测和不可观测两个部分，利用随机分析工具和线性矩阵不等式设计了可观测部分的镇定控制器，使得系统被Lévy噪音镇定。再运用Shur引理，对定理进行了推广，并通过实例阐明了定理构造的控制器有效。%In this paper,the partial Lévy stabilization of time-delayed discrete Markovian jump linear systems was considered. By the classification of markov chain,the time-delayed discrete Markovian jump linear system was divided into two part that one was observable part and the other was objectivity part. By adopting stochastic analysis and linear matrix inequalities( LMIs),the stabilition controller of the observable part was designed to stabilize via Lévy noise. By using Shur lemma,the theorem was extended. In the end,an example was given to illustrate the effectiveness of the designed controller.