一类多胞型不确定时变时滞系统的稳定性分析

Stability Analysis of a class of Polytopic Uncertain Systems with Multiple Time-varying Delay

文章分析了多胞型不确定时变时滞系统的鲁棒稳定性.通过建立适当的Lyapunov-Krasovii函数,得出适当的LMIs,在矩阵系统固定的情况下证明其渐近稳定性,并推广至系统矩阵满足多胞型不确定的情况下,给出鲁棒稳定性的充分条件.

This paper discussed stability for a class of polytopic uncertain systems with multiple time-varying delay. Firstly, establish proper Lyapunov - Krasovii function, it is concluded that proper linear matrix inequalities, and then in the matrix system under the condition of fixed prove the asymptotic stability,and promote to the system of polytopic uncertain systems with multiple time-varying delay, the sufficient condition for robust stability is given.