New stability criteria for uncertain linear systems

Abstract

Abstract: 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 function and using integral inequalities, some delay-dependent stability criteria are obtained. Numerical examples are given to illustrate the effectiveness of the results.

Key words: uncertain linear systems, Lyapunov function, delay-dependent, stability

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。

关键词: 不确定线性系统, Lyapunov函数, 时滞依赖, 稳定性

LIAO Huimin, TAN Manchun. New stability criteria for uncertain linear systems[J]. Computer Engineering and Applications, 2014, 50(22): 256-259.

廖慧敏，谭满春. 不确定线性系统新的稳定性准则[J]. 计算机工程与应用, 2014, 50(22): 256-259.

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New stability criteria for uncertain linear systems

不确定线性系统新的稳定性准则

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