一类广义非线性系统的稳定性与平稳振荡

Asymptotic Stability and Harmonic Oscillation for Singular Nonlinear Systems

中文关键词:  广义非线性系统  渐近稳定性  平稳振荡

英文关键词:singular nonlinear systems  asymptotic stability  harmonic oscillation.

中文摘要:

      本文运用广义李雅普诺夫函数方法研究了一类广义非线性系统，给出了其渐近稳定 的判别条件，对相应的周期系统给出了其平稳振荡定理．

英文摘要:

      In this paper, the method of singular Lyapunov function is used to study singular nonlinear systems, the sufficient conditions about its asymptotic stability and the harmonic oscillation theorm for it are given.