一类带有区间时变时滞的非线性中立切换系统的指数镇定  

Exponential Stabilization for a Class of Nonlinear Neutral Switched Systems with Interval Time-Varying Delay

作　　者：王永昭[1,2] WANG Yong-zhao(School of Mathematics and Statistics,Anyang Nomml University,Anyang 455000,China;College of Management and Economics,Tianjin University Tianjin 300072,China)

机构地区：[1]安阳师范学院数学与统计学院,河南安阳455000 [2]天津大学管理与经济学部,天津300072

出　　处：《安徽师范大学学报（自然科学版）》2018年第4期319-324,共6页Journal of Anhui Normal University(Natural Science)

基　　金：国家自然科学基金青年科学基金(71502050);河南省高等学校重点科研项目(18A630001;18A110010)

摘　　要：研究带有时变时滞中立非线性切换系统的指数镇定问题。通过时滞以及时滞的界,构造Lyapunov-Krasovskii函数,运用平均驻留时间方法,给出了中立非线性切换系统指数镇定的充分条件,该条件以线性矩阵不等式的形式出现。最后运用Schur补引理,设计出控制器以保证闭环系统的镇定,并用数值进行了验证。The problem of exponential stabilization for a class of switched nonlinear neutral systems with time-varying delay is investigated.Lyapunov-Krasovskii function is constructed by the boundary of time delay and time delay,and the sufficient conditions for the exponential stabilization of neutral nonlinear switched systems are given based on the average dwell time approach,which takes the form of linear matrix inequalities.Finally,Schur complement theory is used to design the controller to ensure the stability of the closed-loop system,which is verified by numerical.

关 键 词：中立切换系统 时变时滞 平均驻留时间 LYAPUNOV-KRASOVSKII函数 

分 类 号：O175.13[理学—数学]