摘要
基于李雅普诺夫泛函方法研究一类不确定时滞广义半马尔科夫跳变系统的随机稳定性。首先通过线性矩阵不等式的方法得到系统正则、无脉冲且随机稳定的充分条件;其次考虑驻留时间服从韦伯分布解决转移率非常数的问题;最后结合例子说明文章所得结果的有效性。
The stability of a class of generalized semi-Markov systems with uncertain delay is studied based on Lyapunov functional method.Firstly,sufficient conditions for the system to be regular,pulse-free and randomly stable are obtained by means of linear matrix inequalities.Secondly,the dwell time obeys Weber distribution to solve the problem of uncertain transition rate.Finally,an example is given to illustrate the validity of the results.
作者
彭春源
Peng Chunyuan(College of Data Science and Information Engineering,Guizhou Minzu University,Guiyang 550025,China)
出处
《科学技术创新》
2022年第35期29-32,共4页
Scientific and Technological Innovation
关键词
广义半马尔科夫系统
时滞
随机稳定性
线性矩阵不等式
generalized semi-Markov system
delay
stochastic stability
linear matrix inequalities
