This paper is focused on stability and stabilization of Markov jump systems with generally uncertain transition rates. By in-depth exploiting relationships among the transition rates, a new stability criterion is derived for the systems. The developed criterion is less conservative than some current ones. Moreover, it can be equivalently transformed into solvable condition for state-feedback stabilization while some current ones have to further introduce conservatism when establishing the solvable stabilization conditions. Examples show the validity and advantages of the developed results.

中文翻译：

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跃迁速率总体不确定的Markov跳跃系统的稳定性和稳定性

本文的重点是通常具有不确定转移率的马尔可夫跳跃系统的稳定性和稳定性。通过深入研究转换率之间的关系，为系统推导了新的稳定性判据。制定的标准不如某些现行标准保守。此外，可以等效地将其转换为可解状态，以进行状态反馈稳定化，而当建立可解稳定状态时，一些当前的状态必须进一步引入保守性。实例说明了所开发结果的有效性和优势。