将切换系统的概念引入到分布参数系统中,提出分布参数切换系统的概念.结合切换系统和分布参数系统的建模方法,建立了两类分布参数切换系统的模型.运用切换系统的稳定性分析方法,对两类分布参数切换系统的稳定性进行分析,得出了指数稳定的充分条件.仿真示例验证了定理的正确性.
The concept of switched systems is introduced into distributed parameter systems, and a distributed parameter switched system is presented. Models of two classes of distributed parameter switched systems are set up through combining the modelling methods of switched systems with those of the distributed parameter systems. By means of the stability analysis on switched systems, the stability of two classes of distributed parameter switched systems is analyzed, and the sufficient conditions of exponential stability are given. Simulation examples are given to illustrate the validity of the theorem.