scholarly journals Comment on “Synchronization of chaotic systems with delay using intermittent linear state feedback” [Chaos 18, 033122 (2008)]

2008 ◽  
Vol 18 (4) ◽  
pp. 048101 ◽  
Author(s):  
Yinping Zhang ◽  
Qing-Guo Wang
Keyword(s):  
State Feedback ◽  
Chaotic Systems ◽  
Linear State

Disturbed Chaotic Systems Synchronization via Robust Mixed Functional Projective Method

2014 ◽  
Vol 496-500 ◽  
pp. 1293-1297
Author(s):  
Tao Fan ◽  
Ning Fang ◽  
Fei Tan
Keyword(s):  
State Feedback ◽  
Chaos Control ◽  
Chaotic Systems ◽  
Lyapunov Stability Theory ◽  
Projective Synchronization ◽  
Linear Matrix ◽  
Matrix Inequality ◽  
Generalized Synchronization ◽  
Linear State ◽  
Control And Synchronization

Robust mixed functional projective synchronization (RMFPS), which is the generalized synchronization idea developed very recently, is investigated in this paper. Based on Lyapunov stability theory and linear matrix inequality (LMI), some novel stability criterions for the synchronization between drive and response chaotic systems with disturbances are derived, and then a simple linear state feedback synchronization controller is designed. In order to test the proposed method, numerical simulations of hyper-chaotic unified systems with disturbances are then provided to show the effectiveness and feasibility of this chaos control and synchronization schemes.

Synchronization of delayed chaotic systems with parameter mismatches by using intermittent linear state feedback

Nonlinearity ◽  
2009 ◽  
Vol 22 (3) ◽  
pp. 569-584 ◽  
Author(s):  
Tingwen Huang ◽  
Chuandong Li ◽  
Wenwu Yu ◽  
Guanrong Chen
Keyword(s):  
State Feedback ◽  
Chaotic Systems ◽  
Linear State

A New Criterion for Chaos Synchronization Using Linear State Feedback Control

2003 ◽  
Vol 13 (08) ◽  
pp. 2343-2351 ◽  
Author(s):  
Guo-Ping Jiang ◽  
Guanrong Chen ◽  
Wallace Kit-Sang Tang
Keyword(s):  
Feedback Control ◽  
Chaos Synchronization ◽  
State Feedback ◽  
Chaotic Systems ◽  
Lyapunov Stability Theory ◽  
State Feedback Control ◽  
Linear Quadratic ◽  
Linear Quadratic Optimal Control ◽  
Linear State ◽  
New Criterion

This paper studies chaos synchronization between two coupled chaotic systems using linear state feedback control. A new, simple and yet easily applicable criterion is derived for chaos synchronization based on the Lyapunov stability theory and the Linear Quadratic Optimal Control theory. This criterion is given in terms of some simple algebraic inequalities established by the Gerschgorin theorem, and it is easily applicable to a large class of chaotic systems. As an example, the familiar Chua's circuit is simulated for demonstration.

scholarly journals Global control of chaotic systems based on linear state feedback

2011 ◽  
Vol 60 (11) ◽  
pp. 110503
Author(s):  
Sun Chang-Chun ◽  
Fang Bo ◽  
Huang Wen-Hu
Keyword(s):  
State Feedback ◽  
Chaotic Systems ◽  
Global Control ◽  
Linear State

FREQUENCY-DOMAIN CRITERIA FOR GLOBAL SYNCHRONIZATION OF MULTISCROLL CHAOTIC SYSTEMS UNDER LINEAR FEEDBACK CONTROL

2010 ◽  
Vol 20 (07) ◽  
pp. 2165-2177 ◽  
Author(s):  
XIAOFENG WU ◽  
ZHIFANG GUI ◽  
GUANRONG CHEN
Keyword(s):  
Feedback Control ◽  
Frequency Domain ◽  
Chaotic Systems ◽  
Linear Feedback ◽  
Error Feedback ◽  
Linear Feedback Control ◽  
Global Synchronization ◽  
General Mathematical Model ◽  
Linear State ◽  
Absolute Stability Theory

This paper provides a unified approach for achieving and analyzing global synchronization of a class of master-slave coupled multiscroll chaotic systems under linear state-error feedback control. A general mathematical model for such a class of multiscroll chaotic systems is first established. Based on some special properties of such systems, two less-conservative frequency-domain criteria for the desirable global synchronization are rigorously proven by means of the absolute stability theory. The analysis is then applied to two master-slave coupled modified Chua's circuits, obtaining the corresponding simple and precise algebraic criteria for global synchronization, which are finally verified by numerical simulations.

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