几类非线性系统零解的全局稳定性

Globally Stability of Zero Solutions of Some Nonlinear Systems

讨论若干个二阶、三阶和四阶非线性系统零解的全局渐近稳定性.从相应的线性系统的Ляпунов函数出发,构造非线性系统的Ляпунов函数,利用这些函数及其全导数的定号性或常号性,导出关于零解全局渐近稳定的结果.

The globally asymptotically stability of zero solutions of certain second, third and fourth order systems are studied in this paper. Using the definite forms of the Lyapunov functions and their total time derivatives, the globally asymptotically stability of the zero solutions are obtained.