Control of the Lyapunov exponents of dynamical systems in the plane with incomplete observation

被引：0

作者：

Litsyn, E ^{[1
]}

Nepomnyashchikh, Y

Ponosov, A

机构：

[1] Ben Gurion Univ Negev, Dept Math, IL-84105 Beer Sheva, Israel

[2] Univ Eduardo Mondlane, Dept Math & Informat, Maputo, Mozambique

[3] Norwegian Univ Life Sci, Dept Math Sci & Technol, As, Norway

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2006年 / 64卷 / 02期

关键词：

hybrid feedback control; Lyapunov exponents; stabilization;

D O I：

10.1016/j.na.2005.06.053

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Control linear systems in the plane are studied under the assumption of incomplete observation and incomplete control. In this situation ordinary static output controls may fail to stabilize the system. That is why special dynamic output feedback controls with finitely many states (hybrid feedback controls) are applied. Necessary and sufficient conditions are offered that guarantee exponential convergence/divergence of the solutions at an arbitrary rate. It is also shown that the general case can be reduced to two particular cases which are treated in detail. (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：329 / 351

页数：23

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