线性离散时滞系统的指数稳定性  

Exponential Stability of Linear Discrete Time Systems with Delays

作　　者：李云璐 高存臣[1] 

机构地区：[1]中国海洋大学数学科学学院,山东青岛266100

出　　处：《中国海洋大学学报（自然科学版）》2015年第9期136-140,共5页Periodical of Ocean University of China

基　　金：国家自然科学基金项目(60974032)资助

摘　　要：本文研究了一类线性离散时滞系统的指数稳定问题。通过构造适当的Lyapunov-Krasovskii泛函,利用矩阵不等式技术,给出了线性离散时滞系统与时滞相关的指数稳定的充分条件。应用本文的结果,得到了不确定离散时滞系统与时滞相关的鲁棒指数稳定的新判据,并用数值算例说明了本文结果的可行性与有效性。This paper investigates the exponential stability problem for a class of linear discrete-time sys- tems with time delays. Firstly, by constructing appropriate Lyapunov-Krasovskii functional and linear ma- trix inequalities （LMIs） technique, a delay-dependent sufficient condition of exponential stability is derived for the linear discrete-time systems with time delays. Secondly, the result is applied to uncertain discrete time delay systems and a new criterion of the robust exponential stability is also proposed. Lastly, numeri- cal example is given to show the effectiveness and feasibility of the obtained result.

关 键 词：时滞相关 指数稳定 线性矩阵不等式 线性离散系统 时滞 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]