Nonlinear observer design for bifurcating systems

被引：0
|
作者：
Sundarapandian, V [1 ]
机构：
[1] Indian Inst Technol, Dept Math, Kanpur 208016, Uttar Pradesh, India
来源：
MATHEMATICAL AND COMPUTER MODELLING | 2002年 / 36卷 / 1-2期
关键词：
nonlinear observers; exponential observers; bifurcating systems;
D O I：
10.1016/S0895-7177(02)00114-0
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
This paper is a geometric study of the nonlinear observer design for bifurcating systems. First, we obtain necessary and sufficient conditions for local exponential observers for nonlinear bifurcating systems under some stability assumptions. Next, using our characterization of local exponential observers, we derive a construction procedure for exponential observers for the bifurcating systems. As applications of our observer design, we consider codimension one bifurcations such as the pitchfork and Hopf bifurcations, and codimension two bifurcations such as the cusp bifurcation. (C) 2002 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码：183 / 188
页数：6
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