Adaptive synchronization of a hyperchaotic system with uncertain parameter

Elabbasy, Elmetwally M.; Agiza, H.N.; El-Dessoky, M. M.

doi:10.1016/j.chaos.2005.09.047

Cited by 129 publications

(61 citation statements)

References 25 publications

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“…Because the chaotic system is bounded, so it is easy to be satisfied for many chaotic systems [15][16][17].…”

Section: Problem Descriptionmentioning

confidence: 99%

Research on Two Kinds of Adaptive Synchronization Method for Uncertain Fourth Order Chaotic Systems based on Sigmoid Function and Soft Function Method

Shang¹,

Cheng²,

Lei³

et al. 2016

IJSIP

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Synchronization of chaotic systems can be used in the secure communication so it greatly attracted interests of many researchers. The bounded characteristics of chaotic system was used and an uniformed adaptive law was designed to solve system uncertainties which make the whole design very simple. And two kinds of functions was used to take place of traditional sign function, then the chattering problem was greatly improved. A Lyapunov function was chosen to guarantee the stability of the whole design.At last, detailed simulation was done to show the rightness and effectiveness of the proposed method.

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“…Because the chaotic system is bounded, so it is easy to be satisfied for many chaotic systems [15][16][17].…”

Section: Problem Descriptionmentioning

confidence: 99%

Research on Two Kinds of Adaptive Synchronization Method for Uncertain Fourth Order Chaotic Systems based on Sigmoid Function and Soft Function Method

Shang¹,

Cheng²,

Lei³

et al. 2016

IJSIP

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show abstract

“…Due to its wide applicability to many practical systems such as secure communication, chemical reactions, biological systems and information processing, synchronization of chaotic systems has received a great deal of attention in many fields [1]- [2]. In [3], a synchronization scheme for two hyperchaotic dynamical systems in the presence of unknown system parameters is proposed. In [4], an adaptive synchronization of Chua's system with unknown input uncertainty is considered.…”

Section: Introductionmentioning

confidence: 99%

Adaptive Reliable Synchronization of a Class of Nonlinear Chaotic Systems

Zhao

2013

2013 5th International Conference on Intelligent Human-Machine Systems and Cybernetics

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Abstract-This paper addresses the reliable synchronization problem for a general class of uncertain chaotic systems with adaptive mechanism. By combining adaptive method and linear matrix inequality (LMI) optimization technique, an adaptive reliable synchronization controller is established to guarantee synchronization between the master chaotic and slave chaotic systems even though actuator failures occur and uncertain nonlinear term exists. Finally, an illustrate example is provided to demonstrate the effectiveness of the results developed in this paper.

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“…Since the parameters of synchronous system is known, it is easy to control the given accurate synchronous system [18][19][20][21][22][23].…”

Section: Introductionmentioning

confidence: 99%

Synchronous Control of Second Order Linear System Based on Sliding Mode Method

Li¹,

Ma²,

Wang³

et al. 2016

IJCA

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In order to solve the uncertain problem that parameters of system model are not accurate, a synchronous control method which is based on sliding mode method is proposed in this paper. A synchronous system which has the similar structures with the controlled system is constructed, then a control law is design to make the synchronous system trace the controlled system. So the controlled system can be controlled by controlling the synchronous system. Finally, numerical simulation was done the testify the rightness of the proposed method.

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Adaptive synchronization of a hyperchaotic system with uncertain parameter

Cited by 129 publications

References 25 publications

Research on Two Kinds of Adaptive Synchronization Method for Uncertain Fourth Order Chaotic Systems based on Sigmoid Function and Soft Function Method

Research on Two Kinds of Adaptive Synchronization Method for Uncertain Fourth Order Chaotic Systems based on Sigmoid Function and Soft Function Method

Adaptive Reliable Synchronization of a Class of Nonlinear Chaotic Systems

Synchronous Control of Second Order Linear System Based on Sliding Mode Method

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