二维自治系统的散射性与散射控制  

Scattering and Scattering Control of Two-Dimensional Autonomous Systems

作　　者：吴杰[1] 朱培勇[1] 吴新星[1] 

机构地区：[1]四川大学锦江学院统计系,四川彭山620860

出　　处：《西南大学学报（自然科学版）》2013年第2期94-98,共5页Journal of Southwest University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10671134)

摘　　要：首先给出了非线性自治系统离散线性化的理论基础;然后给出了二维自治系统在平衡点处散射的一个等价刻画,利用此等价刻画证明了所有的鞍点都是散射点;最后利用线性反馈的方法对二维自治系统进行了散射控制,并通过计算机仿真验证了此控制方法的有效性.In this paper, a theory about the linear discretization of nonlinear autonomous systems is first given. Then an equivalent characterization of the scattering at the equilibrium point of a two-dimensional autonomous system is obtained. Based on this equivalent characterization, the authors prove that all saddle points are scattering points. Finally, the method of linear feedback is used to control the scattering points of two-dimensional autonomous systems. Computer simulation shows that this method is effective.

关 键 词：二维自治系统 线性离散化系统 散射点 鞍点 散射控制 

分 类 号：O231.2[理学—运筹学与控制论]