一类带有多时滞的中立型奇异马尔科夫跳变系统的随机稳定性研究

Stochastic Stability Analysis for a Class of Neutral Type Singular Markovian Jump Systems with Multiple Time Delays

本文研究了一类中立型奇异马尔科夫跳变系统的随机稳定性问题,所研究的系统带有多时滞。利用李雅普诺夫函数方法和线性矩阵不等式方法,本文给出了一个使得所研究的系统正则、无脉冲且随机稳定的充分条件。最后,我们给出了一个例子验证了所得方法的正确性。

This paper pays attention to the stochastic stability problem for a class of neutral type singular Markovian jump systems.The considered systems are with multiple time delays.By using the Lyapunov function method and the linear matrix inequality method,this paper presents a sufficient condition,which ensures that the considered systems are regular,impulse-free and stochastically stable.Finally,we give a numerical example to show the correct of the obtained method.