具有马尔可夫再生切换信号的切换线性系统稳定性
Stability of Markov regenerative switched linear systems
AI总结：
本文研究了具有马尔可夫再生过程作为切换信号的切换线性系统平均稳定性条件，证明了系统m阶均值稳定当且仅当特定矩阵Schur稳定，假设m为偶数或系统正定。
摘要：
本文给出了具有马尔可夫再生过程作为切换信号的切换线性系统平均稳定性的必要且充分条件。我们称此类系统为马尔可夫再生切换线性系统，其中包括马尔可夫跳变线性系统和半马尔可夫跳变线性系统作为特例。我们证明，在假设m为偶数或系统正定的情况下，马尔可夫再生切换线性系统m阶均值稳定当且仅当特定矩阵Schur稳定。
英文摘要：
In this paper, we give a necessary and sufficient condition for mean stability of switched linear systems having a Markov regenerative process as its switching signal. This class of switched linear systems, which we call Markov regenerative switched linear systems, contains Markov jump linear systems and semi-Markov jump linear systems as special cases. We show that a Markov regenerative switched linear system is $m$th mean stable if and only if a particular matrix is Schur stable, under the assumption that either $m$ is even or the system is positive.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
