线性多胞形系统稳定性LMI条件

The LMI conditions for stability of a linear polytope matrices system

稳定性是控制系统最重要的特性之一。近几年来,用线性矩阵不等式(LMI)检验矩阵多胞形稳定性已成为一个十分有用的工具。文中把无反馈线性多胞形系统稳定性条件推广到反馈多胞形系统,给出线性非齐次多胞形系统可镇定性LMI条件,通过Lyapunov第二法在不求解系统的运动方程条件下,找到一个Lyapunov函数,直接给出平衡状态稳定性信息。

Stability is one of the most important characteristics for control system, In recent years, the use of LMI to check stability for polytope matrices has become a useful tool. It provides two new LMI conditions for stability of a linear polytope matrices system, and a LMI of nonlinear system. Under no solving the function of system, it gives a Lyapunov funnction to show a stabilitv condition through Lvapunov second theory.