Published October 2007 | Version v1
Journal article Metadata-only

Exponential synchronization of the Genesio-Tesi chaotic system via a novel feedback control

Creators

  • 1. Robust Control and Nonlinear Dynamics Laboratory, Department of Electrical Engineering, Yeungnam University, 214-1 Dae-Dong, Kyongsan 712-749 (Korea, Republic of)

Description

A novel feedback control scheme is proposed for exponential synchronization of the Genesio-Tesi chaotic system. The feedback controller consists of two parts: a linear dynamic control law and a nonlinear control one. For exponential synchronization between the drive and response Genesio-Tesi systems, the Lyapunov stability analysis is used. Then an existence criterion for the stabilizing controller is presented in terms of linear matrix inequalities (LMIs). The LMIs can be solved easily by various convex optimization algorithms. Finally, a numerical simulation is illustrated to show the effectiveness of the proposed chaos synchronization scheme

Additional details

Identifiers

DOI
10.1088/0031-8949/76/6/004;
PII
S0031-8949(06)47606-4;

Publishing Information

Journal Title
Physica Scripta (Online)
Journal Volume
76
Journal Issue
6
Journal Page Range
p. 617-622
ISSN
1402-4896

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
39031862
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
ALGORITHMS; CHAOS THEORY; CONTROL THEORY; FEEDBACK; LYAPUNOV METHOD; MATRICES; NONLINEAR PROBLEMS; OPTIMIZATION; SIMULATION; STABILITY; SYNCHRONIZATION
Descriptors DEC
CALCULATION METHODS; MATHEMATICAL LOGIC; MATHEMATICS