基于切换广义时滞系统的镇定性准则

Stability Criteria for A Class of Switched Singular Systems with Time-delay

针对基于切换情况下广义时滞系统的镇定性问题进行了探索,提出了一个新的研究切换广义时滞系统的李雅普诺夫函数;利用李雅普诺夫函数的稳定性判别知识以及LMI等工具,通过引入恰当的正定矩阵,在规定的切换律之下,得出了基于严格LMI表达的切换情况下的广义时滞系统的相关镇定性准则.通过建立具有LMI制约条件的凸优化问题,得出保证切换情况下广义时滞系统渐近镇定的最大时滞上确界,最后的数例说明所提方法的有效性.

The stabilization problem of generalized time-delay systems based on switching is studied in this paper.In this paper,a new Lyapunov function for switched generalized systems with delay is proposed by using Lyapunov function＇s stability judgement knowledge and LMI tools,and the stability criterion of switched generalized systems with delay based on strict LMI representation is obtained by introducing the appropriate positive definite matrix and under the prescribed switching law.Then,by establishing a convex optimization problem with LMI constraints,the upper bound of the maximum delay is obtained to ensure the asymptotic stabilization of the generalized delay system under switching conditions.Finally,several examples are given to illustrate the effectiveness of the proposed method.