一类中立型奇异马尔科夫跳变系统的状态反馈控制器问题研究

Stabilization Analysis for a Class of Neutral Type Singular Markovian Jump Systems With Time Delay

在本文中,我们研究了一类中立型奇异马尔科夫跳变系统的状态反馈控制器问题。在所研究的系统中,奇异矩阵E_(r(t))与系统的模态有关。另外,所研究的系统含有中立型时滞。利用线性矩阵不等式方法和李雅普诺夫泛函方法,我们给出了一个使得所研究系统容许的充分条件。此外,我们给出了状态反馈控制器的一种设计方法。最后,我们用一个例子来验证了所得的结论。

This paper deals with the stabilization problem for a class of neutral type singular Markovian jump systems with time delay.The investigated systems are with neutral delay.In addition,the singular matrices E_(r(t))are dependent on the models.By employing the methods of the linear matrix inequality and the Lyapunov function,we give a sufficient condition,which guarantees the investigated systems to be admissible.The feedback controller has been designed.Finally,we present an example to illustrate the correctness of the obtained approach.