New Master-Slave Synchronization Criteria of Chaotic Lur’e Systems with Time-Varying-Delay Feedback Control

2016 ◽  
pp. 725-736 ◽  
Author(s):  
Kaibo Shi ◽  
Xinzhi Liu ◽  
Hong Zhu ◽  
Shouming Zhong
Keyword(s):  
Feedback Control ◽  
Time Varying ◽  
Lur’E Systems ◽  
Time Varying Delay ◽  
Chaotic Lur’E Systems ◽  
Delay Feedback Control ◽  
Varying Delay

MASTER-SLAVE SYNCHRONIZATION OF LUR'E SYSTEMS BASED ON TIME-VARYING DELAY FEEDBACK CONTROL

2007 ◽  
Vol 17 (11) ◽  
pp. 4159-4166 ◽  
Author(s):  
HE HUANG ◽  
JINDE CAO
Keyword(s):  
Feedback Control ◽  
Linear Matrix ◽  
Time Varying ◽  
Lur’E Systems ◽  
Time Varying Delay ◽  
Synchronization Problem ◽  
Master System ◽  
Delay Feedback Control ◽  
Delay Dependent ◽  
Varying Delay

This paper deals with the master-slave synchronization problem of Lur'e systems based on time-varying delay feedback control. The time-varying delay is only assumed to be bounded. Delay-dependent conditions are derived such that the controlled slave system can track the master system. The synchronization criteria are expressed in terms of linear matrix inequality, which can be checked readily by using some standard numerical packages. A simulation example is provided to demonstrate the effectiveness of the proposed approach.

FURTHER RESULTS ON MASTER-SLAVE SYNCHRONIZATION OF GENERAL LUR'E SYSTEMS WITH TIME-VARYING DELAY

2008 ◽  
Vol 18 (01) ◽  
pp. 187-202 ◽  
Author(s):  
FERNANDO O. SOUZA ◽  
REINALDO M. PALHARES ◽  
EDUARDO M. A. M. MENDES ◽  
LEONARDO A. B. TÔRRES
Keyword(s):  
Communication Systems ◽  
Functional Differential Equations ◽  
Linear Matrix ◽  
Time Varying ◽  
Lur’E Systems ◽  
New Approach ◽  
Time Varying Delay ◽  
Delay Feedback Control ◽  
Functional Differential ◽  
Varying Delay

In this paper, a new approach to analyze the asymptotic, exponential and robust stability of the master-slave synchronization for Lur'e systems using time-varying delay feedback control is proposed. The discussion is motivated by the problem of transmitting information in optical communication systems using chaotic lasers. The approach is based on the Lyapunov–Krasovskii stability theory for functional differential equations and the linear matrix inequality (LMI) technique with the use of a recent Leibniz–Newton model based transformation, without including any additional dynamics. Using the problem of synchronizing coupled Chua's circuits, three examples are given to illustrate the effectiveness of the proposed methodology.

scholarly journals Dissipative Delay-Feedback Control for Nonlinear Stochastic Systems with Time-Varying Delay

2014 ◽  
Vol 2014 ◽  
pp. 1-11
Author(s):  
Guici Chen ◽  
Jianzhong Zhou ◽  
Yongchuan Zhang
Keyword(s):  
Feedback Control ◽  
Stochastic Systems ◽  
Delay Systems ◽  
Time Varying ◽  
Stochastic Delay ◽  
Time Varying Delay ◽  
Special Cases ◽  
Delay Feedback Control ◽  
Delay Dependent ◽  
Varying Delay

The dissipative delay-feedback control problems for nonlinear stochastic delay systems (NSDSs) based on dissipativity analysis are studied in this paper. Based on the Lyapunov stability theory and stochastic analysis technique, both delay-independent and delay-dependent dissipativity criteria are established as linear matrix inequalities- (LMIs-) based feasibility tests. The obtained results in this paper for the nominal systems include the available results onH∞approach and passivity for stochastic delay systems as special cases. The delay-dependent feedback controller is designed by considering the relationship among the time-varying delay, its lower and upper bound, and its differential without ignoring any terms, which effectively reduces the conservative. A numerical example is given to illustrate the theoretical developments.

MASTER-SLAVE SYNCHRONIZATION OF GENERAL LUR'E SYSTEMS WITH TIME-VARYING DELAY AND PARAMETER UNCERTAINTY

2006 ◽  
Vol 16 (02) ◽  
pp. 281-294 ◽  
Author(s):  
HE HUANG ◽  
HAN-XIONG LI ◽  
JUE ZHONG
Keyword(s):  
Parameter Uncertainty ◽  
Sufficient Conditions ◽  
Parametric Uncertainty ◽  
Time Varying ◽  
Matrix Inequalities ◽  
Lur’E Systems ◽  
Numerical Examples ◽  
Time Varying Delay ◽  
Delay Feedback Control ◽  
Varying Delay

This paper deals with the problem of master-slave synchronization for uncertain Lur'e systems via time-varying delay feedback control. The parametric uncertainty is assumed to be norm bounded. Several new and sufficient conditions are presented such that the uncertain Lur'e master and slave systems are synchronous for all admissible uncertainties. These synchronization criteria are dependent on the size of time delay, which can be expressed by means of matrix inequalities. The adopted method is based on defining a new Lyapunov–Krasovskii function and using some inequalities techniques. Our results obtained here extend and improve some previously related results. Finally, two numerical examples are provided to demonstrate the applications of our proposed results.

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