摘要
首先利用隐函数定理及常规的非线性系统解的存在唯一性定理，给出了广义非线性系统解的存在唯一性条件，然后利用标量和Ｌｙａｐｕｎｏｖ 函数方法，从系统本身出发，研究了广义非线性系统解的一致最终有界性，给出了判定解一致最终有界的条件，此条件无需求解原方程。
The conditions of existence and uniqueness of solution for singular nonlinear systems are given by employing implicit function theorem and the existent and unique theorem of solution for normal nonlinear system at first, and then, from the original form of system, the uniform ultimate boundedness of solution for singular nonlinear system is studied by using scalar Lyapunov function; the criteria, which needn't solve original system equation, of uniform ultimate boundedness of solution for singular nonlinear system is obtained. An illustrated example is given.
出处
《控制理论与应用》
EI
CAS
CSCD
北大核心
1999年第5期725-728,共4页
Control Theory & Applications
基金
国家自然科学基金!(69874010)
河南省自然科学基金!(984050400)
