Local Control of Chaotic Systems — A Lyapunov Approach-Reference-Cited by-同舟云学术

Local Control of Chaotic Systems — A Lyapunov Approach

Published:1998-07 Issue:07 Volume:08 Page:1565-1573
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

Richter Hendrik¹²,Reinschke Kurt J.¹

Affiliation:

1. Technische Universität Dresden, Fakultät Elektrotechnik, Institut für Regelungs- und Steuerungstheorie, Mommsenstr. 13, D-01062 Dresden, Germany

2. HTWK Leipzig, Fachbereich Elektrotechnik Fachgruppe Meß-, Steuerungs- und Regelungstechnik PF 300066, D-04251 Leipzig, Germany

Abstract

In this paper a method for local control of an unstable equilibrium point in chaotic systems is presented. Linear state feedback to stabilize the equilibrium is employed which is only active in a bounded region around the desired point: the area of control action. Size and shape of the area of control action are determined by a Lyapunov function of the controlled chaotic system such that it belongs to the basin of attraction of the equilibrium point. We give the design procedure for both continuous-time and discrete-time systems.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127498001212

Reference13 articles.

1. FROM CHAOS TO ORDER — PERSPECTIVES AND METHODOLOGIES IN CONTROLLING CHAOTIC NONLINEAR DYNAMICAL SYSTEMS

2. CONTROLLING CHUA'S CIRCUIT

3. Reversible Control of Chemical Reaction Systems

4. A nonlinear oscillator with a strange attractor

Cited by 23 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Impulsive stabilization of chaos in fractional-order systems;Nonlinear Dynamics;2017-05-15

2. An Approach of Tracking Control for Chaotic Systems;Journal of Control Science and Engineering;2016

3. Adaptive Control of Accumulative Error for Nonlinear Chaotic Systems;International Journal of Automation and Computing;2014-10

4. Adaptive near optimal neural control for a class of discrete-time chaotic system;Neural Computing and Applications;2014-05-01

5. A Note about Robust Stabilization of Chaotic Hénon System Using Grammatical Evolution;Nostradamus 2014: Prediction, Modeling and Analysis of Complex Systems;2014