分数阶切换系统的输入输出有限时间稳定

Input-output finite-time stability of fractional order switched systems

对连续分数阶切换系统进行输入输出有限时间的稳定性分析和镇定性分析.首先,根据引入的分数阶切换系统输入输出有限时间稳定的概念,设计了状态反馈控制器以此来保证闭环系统输入输出有限时间稳定;然后,利用Lyapunov函数和平均驻留时间方法,给出了分数阶切换系统输入输出有限时间稳定的充分条件;最后,通过数值例子说明了所给方法的有效性.

The paper presents stability analysis and stabilization analysis of input-output finitetime for continuous fractional order switched systems.First,based on the concept of input-output finite-time stability for fractional order switched systems,the state feedback controller was designed to ensure input-output finite-time stability of the corresponding closed-loop systems.Furthermore,by employing average dwell time and Lyapunov function method,some sufficient conditions are given.Finally,two numerical examples are given to show the effectiveness of the results.