Augmented Lyapunov-Krasovskii Functional Approach to Stability of Discrete Systems With Time-Varying Delays
Augmented Lyapunov-Krasovskii Functional Approach to Stability of Discrete Systems With Time-Varying Delays
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DOI：
10.1109/access.2017.2767564
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发表时间：
2017-10
期刊：
影响因子：
3.9
通讯作者：
Myeongjin Park;Seunghoon Lee;O. Kwon;Ji-Hyoung Ryu
中科院分区：
文献类型：
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作者：
Myeongjin Park;Seunghoon Lee;O. Kwon;Ji-Hyoung Ryu
本文研究了具有时变时滞的离散时间系统的时滞相关稳定性问题。提出了一种新的增强 Lyapunov-Krasovskii 泛函来推导稳定性准则，其中可行区域得到增强。此外，还开发并应用了改进的求和不等式来寻找求和不等式的下界。通过两个数值示例，将通过与最大延迟界限进行比较来显示改进的结果。
This paper investigates the problem of delay-dependent stability for discrete-time systems with time-varying delays. A novel augmented Lyapunov-Krasovskii functional is proposed in deriving stability criteria in which the feasible region is enhanced. Also, an improved summation inequality is developed and applied to find the lower bound of summation inequalities. Via two numerical examples, improved results will be shown by comparing with maximum delay bounds.