线性时变时滞切换系统的稳定性分析  

Stability Analysis of Linear Time-Varying Time-Delay Switching System

作　　者：杨慧芝 施佳丽 雷欢[2] Yang Huizhi;Shi Jiali;Lei Huan(Department of Information Engineering,Sichuan College of Architectural Technology,Deyang Sichuan 618000,China;Software and Service Center,Sichuan Changhong Electric Co.,Ltd.,Chengdu Sichuan 610000,China)

机构地区：[1]四川建筑职业技术学院信息工程系,四川德阳618000 [2]四川长虹电器股份有限公司软件与服务中心,四川成都610000

出　　处：《信息与电脑》2017年第22期60-61,64,共3页Information & Computer

摘　　要：笔者证明了一类连续的线性时变时滞切换系统是指数稳定的。对于时变时滞,首先假设它存在的下界和上界分别是d_1、d_2,然后将其分为有界不可微和有界可微两种情况分别讨论。使用平均驻留时间方法、LMI方法和Lyapunov稳定性定理,在保证切换系统的驻留时间在每个稳定子系统中停留的时间足够长时,就可抵消并超过切换造成的"系统能量",该切换规则就可保证系统稳定。The author proves that a class of continuous linear time-varying delay switching systems is exponentially stable.For the time-varying delay,we first assume that the lower bound and the upper bound of the existence are respectively,and then divide them into bounded non-differentiable and bounded and differentiable cases.Using the average dwell time method,the LMI method,and the Lyapunov stability theorem,the"system energy"caused by the handover can be offset and exceeded when the dwell time of the switching system is long enough for each stable subsystem to stay,the switching rules can ensure system stability.

关 键 词：切换时滞系统 线性时变 LYAPUNOV稳定性 LMI方法 

分 类 号：TP271[自动化与计算机技术—检测技术与自动化装置]