Stabilizability via Time-Delayed Feedback: An Eigenvalue Optimization Approach

被引：13

作者：

Huijberts, Henri ^{[1
]}

Michiels, Wim ^{[3
]}

Nijmeijer, Henk ^{[2
]}

机构：

[1] Univ London, Sch Engn & Mat Sci, London E1 4NS, England

[2] Eindhoven Univ Technol, Dept Mech Engn, NL-5600 MB Eindhoven, Netherlands

[3] Katholieke Univ Leuven, Dept Comp Sci, B-3001 Heverlee, Belgium

来源：

SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS | 2009年 / 8卷 / 01期

关键词：

stabilizability; time-delayed feedback control; eigenvalue optimization; nonsmooth optimization; NONCONVEX OPTIMIZATION; ACCELERATION FEEDBACK; NONSMOOTH; CHAOS; STABILIZATION; LIMITATIONS; SYSTEMS;

D O I：

10.1137/070708767

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider the stabilizability of dynamical systems via time-delayed state and output feedback control. Based on an eigenvalue optimization approach in combination with a continuation argument and a result characterizing properties of the optimum eigenvalue configurations, we obtain explicit expressions for stabilizability boundaries for two-dimensional systems. As time-delayed feedback can be used to approximate derivative feedback, we also give a comparison of the stabilizability via both types of feedback.

引用

页码：1 / 20

页数：20

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