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

作　　者：龙少华 周丽娟 Long Shaohua;Zhou Lijuan(School of Science,Chongqing University of Technology,Chongqing 400054,China)

机构地区：[1]重庆理工大学理学院,重庆400054

出　　处：《科学技术创新》2022年第8期22-25,共4页Scientific and Technological Innovation

摘　　要：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.

关 键 词：时滞 中立型系统 奇异马尔科夫跳变系统 随机稳定性 

分 类 号：O175[理学—数学] O241[理学—基础数学]