一类带有时滞非线性系统的稳定性开关分析

摘要

针对一类带有时滞的非线性系统,通过对其平衡点处特征方程的分析,构造相应的李雅普诺夫函数,获得了平衡点处的稳定性开关变化的判别准则,并对开关值获取的算法进行了讨论和分析。%In this paper, analyzing characteristic roots of linear variation equations with respect to the equilibrium by using lyapunov method,stability switches are attained and a numerical test is given for illustrating the main results.