Exponential stability results for uncertain neutral systems with interval time-varying delays and Markovian jumping parameters
Exponential stability results for uncertain neutral systems with interval time-varying delays and Markovian jumping parameters
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DOI：
10.1016/j.amc.2010.04.077
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发表时间：
2010-08
期刊：
影响因子：
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通讯作者：
P. Balasubramaniam;A. Manivannan;Rajan Rakkiyappan
中科院分区：
文献类型：
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作者：
P. Balasubramaniam;A. Manivannan;Rajan Rakkiyappan
研究具有马尔可夫跳变参数和区间时变时滞中立型系统的全局指数稳定性分析。假设时变延迟属于一个区间，这意味着区间时变延迟的下界和上界是可用的。利用广义特征值问题构造新的Lyapunov-Krasovskii泛函，导出了线性矩阵不等式（LMI）的全局指数稳定性条件。稳定性判据以LMI的形式表示，可以通过Matlab LMI控制工具箱方便地在实践中进行校核。算例验证了该方法的有效性和较低的保守性。
This paper deals with the global exponential stability analysis of neutral systems with Markovian jumping parameters and interval time-varying delays. The time-varying delay is assumed to belong to an interval, which means that the lower and upper bounds of interval time-varying delays are available. A new global exponential stability condition is derived in terms of linear matrix inequality (LMI) by constructing new Lyapunov–Krasovskii functionals via generalized eigenvalue problems (GEVPs). The stability criteria are formulated in the form of LMIs, which can be easily checked in practice by Matlab LMI control toolbox. Two numerical examples are given to demonstrate the effectiveness and less conservativeness of the proposed methods.