TITLE

Synchronization of a class of coupled chaotic delayed systems with parameter mismatch

AUTHOR(S)
Tingwen Huang; Chuandong Li; Xiaofeng Liao
PUB. DATE
September 2007
SOURCE
Chaos;Sep2007, Vol. 17 Issue 3, p033121
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
In this paper, we study the effect of parameter mismatch on the synchronization of a class of coupled chaotic systems with time delays. In the presence of parameter mismatch, the delayed coupled chaotic systems are investigated in terms of the quasisynchronization. A simple and yet easily applicable criterion for quasisynchronization of a large class of coupled chaotic systems with delays is derived based on the Lyapunov stability theory. As an example, the Ikeda oscillator is simulated, thereby validating the theoretical result in this paper.
ACCESSION #
26911203

Tags: TIME measurements;  SYNCHRONIZATION;  LYAPUNOV stability;  CONTROL theory (Mathematics);  OSCILLATIONS;  NONLINEAR theories;  FREQUENCY stability;  CHAOS theory;  PHYSICS

 

Related Articles

  • Control of transient synchronization with external stimuli. Ciszak, Marzena; Montina, Alberto; Arecchi, F. Tito // Chaos;Mar2009, Vol. 19 Issue 1, p015104 

    A network of coupled chaotic oscillators can switch spontaneously to a state of collective synchronization at some critical coupling strength. We show that for a locally coupled network of units with coexisting quiescence and chaotic spiking states, set slightly below the critical coupling...

  • Observer-based adaptive fuzzy synchronization for hyperchaotic systems. Wang Xingyuan; Meng Juan // Chaos;Sep2008, Vol. 18 Issue 3, p033102 

    In this paper, the synchronization problem of hyperchaotic systems is investigated. An adaptive fuzzy observer is proposed based on the Takagi�Sugeno fuzzy model. Theoretical analysis based on Lyapunov stability theory is provided to verify the feasibility of the proposed synchronization...

  • A new chaotic communication scheme based on adaptive synchronization. Wu Xiang-Jun // Chaos;Dec2006, Vol. 16 Issue 4, p043118 

    A new chaotic communication scheme using adaptive synchronization technique of two unified chaotic systems is proposed. Different from the existing secure communication methods, the transmitted signal is modulated into the parameter of chaotic systems. The adaptive synchronization technique is...

  • ACTIVE CONTROLLER DESIGN FOR THE ANTI-SYNCHRONIZATION OF HYPERCHAOTIC QI AND HYPERCHAOTIC JHA SYSTEMS. Vaidyanathan, Sundarapandian // International Journal of Instrumentation & Control Systems;Apr2012, Vol. 2 Issue 2, p27 

    This paper derives new results for the anti-synchronization of identical hyperchaotic Qi systems (2008), identical hyperchaotic Jha systems (2007) and non-identical hyperchaotic Qi and hyperchaotic Jha systems. Active nonlinear control is the method adopted to achieve the anti-synchronization of...

  • Robust synchronization of a class of uncertain chaotic systems based on quadratic optimal theory and adaptive strategy. Ataei, Mohammad; Iromloozadeh, Armin; Karimi, Bahram // Chaos;Dec2010, Vol. 20 Issue 4, p043137 

    This paper presents a chaos synchronization method for a class of uncertain chaotic systems using the combination of an optimal control theory and an adaptive strategy. A quadratic optimal regulator and an adaptive control are used to represent the controller's structure. The asymptotic...

  • Chaotic Synchronization Using Fuzzy Control Approach. Lam, H. K.; Gani, Mahbub // International Journal of Fuzzy Systems;Jun2007, Vol. 9 Issue 2, p116 

    This paper presents the synchronization of chaotic systems subject to parameter uncertainties. Based on the fuzzy models of chaotic systems, a fuzzy controller is designed to realize chaotic synchronization. A design criterion of the membership functions of fuzzy controller is proposed to...

  • Synchronization of Lurie chaotic systems. Mao Beixing; Wang Dongxiao; Bu Chunxia // Journal of Huazhong Normal University;2012, Vol. 46 Issue 4, p297 

    Synchronization is realized for Lurie chaotic systems, Lyapunov stability theory are adopted to achieve chaos synchronization. Linear matrix inequality approach is used, so it is easy to realize.

  • Lag Synchronization of Hyperchaotic Systems via Intermittent Control. Junjian Huang; Chuandong Li; Wei Zhang; Pengcheng Wei; Qi Han // Abstract & Applied Analysis;2012, p1 

    Different from the most existing results, in this paper an intermittent control scheme is designed to achieve lag synchronization of coupled hyperchaotic systems. Several sufficient conditions ensuring lag synchronization are proposed by rigorous theoretical analysis with the help of the...

  • GLOBAL CHAOS SYNCHRONIZATION OF A FAMILY OF n-SCROLL HYPERCHAOTIC CHUA CIRCUITS USING BACKSTEPPING CONTROL WITH RECURSIVE FEEDBACK. Suresh, R.; Sundarapandian, V. // Far East Journal of Mathematical Sciences;Feb2013, Vol. 73 Issue 1, p73 

    In this paper, the global chaos synchronization is investigated for the family of n-scroll hyperchaotic Chua circuits (Yu et al. [37]) using backstepping control with recursive feedback. The backstepping control method gives a systematic procedure for selecting a controller in chaos...

Share

Read the Article

Courtesy of VIRGINIA BEACH PUBLIC LIBRARY AND SYSTEM

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics