非线性系统李雅普诺夫函数构造分析

本文借助常系数线性系统的E.A巴尔巴辛公式,运用“类比法”构造了特殊类型的非线性系统的李雅普诺夫函数,从而推出非线性系统全局稳定性的一些充分条件,特别详细讨论非线性驻定系统(?)+f_1(?)+f_2(?)+f_3=0,其中f_2是二元函数的情形。

Analysis of the Stability of Non-Linear Systems

This paper has made up a special type of Liapunov's function of non-linear systems with the help of E.A. Barbashin's formula for the constant coefficient systems and by the use of " comparsion method", thereby deriving sufficient conditions of the complete stability of a nonlinear system. The paper has discussed in detail a non-linear system x+f_1+f_2x+ f_3=0, in which f_2 is the binary function.