不确定线性系统新的稳定性准则  

New stability criteria for uncertain linear systems

作　　者：廖慧敏[1] 谭满春[1] 

机构地区：[1]暨南大学数学系,广州510632

出　　处：《计算机工程与应用》2014年第22期256-259,264,共5页Computer Engineering and Applications

基　　金：广东省自然科学基金(No.S201201001036);广东省科学计划项目(No.2009B011400046)

摘　　要：研究了带有区间时滞的不确定系统的稳定性问题。通过采用时滞分割法,把时滞区间分割成任意两小段,并构造恰当的Lyapunov函数,利用积分不等式,得到了新的时滞相关的稳定性准则。通过数值例子验证了结果的有效性。The stability problem for uncertain linear systems with interval time-varying delay is studied. Based on the delay-dividing approach, the delay interval is partitioned into two subintervals. By constructing an appropriate Lyapunov func-tion and using integral inequalities, some delay-dependent stability criteria are obtained. Numerical examples are given to illustrate the effectiveness of the results.

关 键 词：不确定线性系统 LYAPUNOV函数 时滞依赖 稳定性 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程] O213.2[自动化与计算机技术—控制科学与工程]