【作者】 赵娜；

【导师】 慕小武；

【作者基本信息】 郑州大学 ， 应用数学， 2009， 硕士

【摘要】 本文讨论了由有限个线性时滞微分方程组成的时滞切换系统的指数衰减稳定性问题。时滞切换系统是切换系统的重要一类,它是同时存在切换和时滞的系统,它的动态特性极为复杂。根据是否依赖于系统中的滞后时间,时滞切换系统的稳定性可分为时滞独立稳定和时滞依赖稳定。本文通过对滞后时间(?)的限制和切换规则S的选择,利用共同Lyapunov泛函法证明了一类依赖于滞后时间(?)的线性时滞切换系统的指数衰减稳定性。更多还原

【Abstract】 This dissertation studies exponential decay stability of switching systems with time delay, and these switching systems are composed of a finite number of linear delay equation.A switching system with time delay is one of the important types of switching systems,which exists switching and lag time.Therefore,its dynamic behavior is very complex.According to whether or not dependent on the lag time,stability of switching systems with time delay can be divided into delay independent stability and delay dependent stability.In this paper ,by using the common Lyapunov functional method,together with the choice of the switching law and the limitation of the lag time,delay dependent exponential decay stability of a class of linear switching systems with time delay is discussed.更多还原