中心流形定理在非线性动力学系统分析和控制中的应用
The application of cenier manifold theorem to analysis and control of nonlinear dynamical systems
-
摘要: 本文将中心流形定理用于一类非线性动力学系统的局部定量分析和设计中,从而改进和简化了传统的分析和设计方法,弥补了线性化方法在处理这类系统方面的不足。Abstract: Applying the center manifold theorem to analyze and design quantitatively the localcontrol problems arising in a class of nonlinear dynamical systems, this paper proposesa method by which the traditional analysis and design method can be improved andsimplified, and some shortcomings of linearization method are overcome as well.