一类切换时滞系统在异步切换下的绝对指数稳定性  

Absolute Exponential Stabilization for a Class of Switched Delay Systems Under Asynchronous Switching

作　　者：刘娟 贾红威 王跃华[1] LIU Juan;JIA Hongwei;WANG Yuehua(Shenyang University Normal College, Shenyang University, Shenyang 110041, China)

机构地区：[1]沈阳大学师范学院,辽宁沈阳110041

出　　处：《沈阳大学学报（自然科学版）》2020年第6期503-508,共6页Journal of Shenyang University：Natural Science

摘　　要：利用L-proceduture和平均驻留时间法,设计了异步控制器以及切换规则,给出了闭环系统绝对指数稳定的充分条件.通过对比发现,如果系统在切换时不存在切换时滞,即为同步切换下的控制器设计,从而拓宽了结果的应用范围.最后给出了算例,并进行了数值模拟与仿真.Using the L-proceduture and sum average residence time method,an asynchronous controller and switching rules were designed,and sufficient conditions for the absolute exponential stability of the closed-loop system were given.Through comparison,it is found that if the system does not have a switching time lag during switching,it is designed for the controller under synchronous switching,which broadens the application range of the results.Finally,an example is given,and numerical simulation and simulation are carried out.

关 键 词：切换时滞系统 绝对指数稳定性 异步切换 数值模拟 平均驻留时间 

分 类 号：O175[理学—数学]