一类切换线性中立时滞系统稳定性的分析

STABILITY OF LINEAR SWITCHED NEUTRAL DELAY SYSTEMS

提出了切换中立时滞系统的概念。研究了线性切换中立时滞系统渐近稳定性问题,并分别利用单Lyapunov函数法和多Lyapunov函数法,以线性矩阵不等式的形式分别给出一类切换线性中立时滞系统渐近稳定的充分条件及切换律的设计。然后假设存在有限个备选的控制增益已知的控制器,并在任何单一的状态反馈控制器都不能镇定系统时,设计该类系统的混杂状态反馈控制器,使闭环系统渐近稳定。最后用部分元件等效电路(PEEC)的仿真例子验证了结论的有效性。

The concept for switched neutral delay system is introduced for the first time in this paper. The asymptotical stability problems for switched linear neutral delay systems are considered. By using single-Lyapunov technique and multiple- Lyapunov function technique, some sufficient conditions of asymptotical stability and the corresponding switching laws are given in the form of linear matrix inequalities （LMIs）. Under the assumption that there exist finite candidate controllers with known gain matrices but none of them can stabilize the neutral delay system, the hybrid state-feedback control laws are designed such that the closed-loop system is asymptotically stable. The simulation example about partial element equivalent circuits （PEEC） demonstrates the effectiveness of the design method.