基于时滞分解方法的两个稳定性准则的比较

A Comparison between Two Kinds of Stability Criteria by Using Delay Decomposition Approach

该文针对利用时滞分解方法选取的两种不同的Lyapunov-Krasovskii泛函得到的线性时滞系统的两个不同的稳定性准则,从理论上结合相应的数值示例,严格证明了两者之间的关系,分析了它们的优缺点。

This paper is concerned with the comparison between two stability criteria of linear time-delay systems by using delay decomposition approach to get two different Lyapunov-Krasovskii functional, respectively. The relationship between the two criteria has been strictly proved by examples and advantages and disadvantages of them are analyzed as well.