一类中立型时滞系统的相关稳定性  

Stability of aclass of neutral delay systems

作　　者：丁皓明 

机构地区：[1]阿坝师范学院数学与财经系,四川汶川623002

出　　处：《西南民族大学学报（自然科学版）》2015年第5期627-633,共7页Journal of Southwest Minzu University(Natural Science Edition)

基　　金：国家自然科学基金项目(基金编号11301363);阿坝师专青年科研基金资助项目(项目编号ASC12-28)

摘　　要：基于李雅普诺夫泛函方法,研究了离散时滞和中立型时滞相等的系统稳定性问题,同时也研究了两类时滞不等的混合时滞系统的稳定性.对区间进行了四等分分解,在构造的李雅普诺夫泛函中引入了二重积分项,对积分项的导数进行时滞等分处理,利用线性矩阵不等式分析技巧和李雅普诺夫稳定性定理获得保守性较小的时滞系统相关稳定性判定依据.Based on the Lyapunov functional, this paper researchesthe equivalent discrete time - delay and neutral delay system stability, and discusses the stability of the hybrid delay systems. The whole delay interval is partitioned into 4-equidistant subin- tervals. By constructing a new Lyapunov functionwhich contains some double-integral terms, this paper conductsits derivative in- tegral term treatment delays decile. By using the linear matrix inequality and Lyapunov stability theory, this paper concludes how to determine the stability of delay systems.

关 键 词：中立型时滞系统 线性矩阵不等式 稳定性 李雅普诺夫泛函 

分 类 号：O177[理学—数学]