摘要
讨论了非线性非自治系统未被扰动运动的全变元及关于部分变元的稳定性、一致稳定性及全局稳定性,给出了几个判定准则,这些定理允许Lyapunov函数的导数为变号函数,改进了已有文献中的有关结果.
The stability and partial stability of nonlinear and nonautonomous systems are studied, and some criteria for the stability, uniform stability, global asymptotic stability are given. These theorems allow the derivative of Lyapunov function to be not always of the same sign and improve the related theory in the existed literature.
出处
《数学杂志》
CSCD
北大核心
2005年第6期641-644,共4页
Journal of Mathematics
基金
国家自然科学基金资助项目(No.60274007)
高等学校博士点基金资助项目(20010487005)
