关联时滞大系统的时滞相关镇定

Delay-Dependent Stabilization for Interconnected Large-Scale Systems with Time Delays

针对具有n2个时滞关联大系统的时滞相关镇定问题,本文基于线性矩阵不等式方法,通过构造适当的Lyapunov-Krasovskii泛函,给出了基于此类大系统分散反馈镇定的充分条件及状态反馈控制器的设计方案,并用数值例子进行验证,所得结果是将现有的时滞无关条件推广到时滞相关条件,证明了所得结论的有效性。

This paper deals with delay-dependent stabilization problem of interconnected large-scale systems with time delays. A sufficient condition for decentralized feedback stabilization is proposed by using Lya- punov-Krasovskii method. The condition is given in terms of linear matrix inequality （LMI）, and is an ex- tension work of some related results. Numerical examples are used to illustrate the effectiveness of the proposed results.