南京航空航天大学学报2012，Vol.44Issue(1)：65-69,5.
离散广义Markov跳变系统的镇定性
Stabilization of Discrete-Time Singular Markov Jump Systems
摘要
Abstract
The problems of stability and stabilization are investigated for a kind of discrete-time singular Markov jump systems with partly unknown transition probabilities. Including two special cases of completely known and completely unknown transition probabilities, the proposed systems with partly unknown transition probabilities are more practical. A sufficient condition for stochastic stability of open-loop discrete-time singular Markov jump systems is derived from the results of discrete-time Markov jump systems by employing linear matrix inequality technique. Moreover, a criterion for feedback stabilization of closed-loop systems is proposed in terms of a set of linear matrix inequalities. Finally, a numerical example is given to illustrate the validity of the proposed results.关键词
广义系统/Markov跳变系统/镇定性/线性矩阵不等式/转移概率Key words
singular systems/ Markov jump systems/ stabilization/ linear matrix inequality/ transition probabilities分类
信息技术与安全科学引用本文复制引用
常华,方洋旺,楼顺天..离散广义Markov跳变系统的镇定性[J].南京航空航天大学学报,2012,44(1):65-69,5.基金项目
国家自然科学基金(60674040)资助项目. （60674040）
