摘要
基于泛函微分方程的稳定性理论,首先通过构造Lyapunov泛函,再利用矩阵不等式的性质和范数的定义判定矩阵的正定性和负定性.对一类含无界时滞的非线性系统的渐近稳定性问题,作进一步的探讨.
Based on the stability theory of functional differential equations. At first, we construct the Lyapunov functions, Then, using the properity of matrix inequality and definition of norm to judge whether the matrices is positive or negative definite, to make further study of the Asymptotic stability of nonlinear systems with unbounded delays.
出处
《数学的实践与认识》
CSCD
北大核心
2008年第20期217-222,共6页
Mathematics in Practice and Theory
基金
国家自然科学基金(10771001)
教育部重点项目(205068)
关键词
泛函
渐近稳定性
无界时滞
范数
Lyapunov functions
Asymptotic stability
unbounded delay
norm
