Finite-time chaos synchronization of unified chaotic system with uncertain parameters

Wang, Hua; Han, Zhengzhi; Xie, Qiyue; Zhang, Wensheng

doi:10.1016/j.cnsns.2008.04.015

Cited by 168 publications

(85 citation statements)

References 16 publications

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“…In addition, if = and ( ) is also radially unbounded, then the origin is a globally finite-time stable equilibrium of systems (5).…”

Section: System Description and Problemmentioning

confidence: 99%

“…Thus, synchronization of chaotic system in the presence of parameter uncertainties and external disturbances is effectively crucial in applications. Various nonlinear control methods have been proposed to deal with the problem of synchronization of uncertain chaotic systems such as adaptive control [3], passive control [4], sliding mode control [5,6], backstepping control [7,8], and fuzzy control [9].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Finite-Time Synchronization for Uncertain Master-Slave Chaotic System via Adaptive Super Twisting Algorithm

Siricharuanun

Pukdeboon

2016

Journal of Nonlinear Dynamics

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A second-order sliding mode control for chaotic synchronization with bounded disturbance is studied. A robust finite-time controller is designed based on super twisting algorithm which is a popular second-order sliding mode control technique. The proposed controller is designed by combining an adaptive law with super twisting algorithm. New results based on adaptive super twisting control for the synchronization of identical Qi three-dimensional four-wing chaotic system are presented. The finite-time convergence of synchronization is ensured by using Lyapunov stability theory. The simulations results show the usefulness of the developed control method.

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“…In addition, if = and ( ) is also radially unbounded, then the origin is a globally finite-time stable equilibrium of systems (5).…”

Section: System Description and Problemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Finite-Time Synchronization for Uncertain Master-Slave Chaotic System via Adaptive Super Twisting Algorithm

Siricharuanun

Pukdeboon

2016

Journal of Nonlinear Dynamics

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show abstract

“…Lemma 2 (see [15]). Assume that a continuous, positivedefinite function ( ) satisfies the following differential inequality:V…”

Section: The Finite-time Combination-combination Synchronization Schemementioning

confidence: 99%

“…However, in the view of practical application, optimizing the synchronization time is more important than achieving synchronization asymptotically [15][16][17][18][19]. Recently, based on the stepby-step control method, Wang et al realized the finite-time synchronization of two chaotic systems by designing a proper controller [15].…”

Section: Introductionmentioning

confidence: 99%

Finite-Time Combination-Combination Synchronization for Hyperchaotic Systems

2013

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A new type of finite-time synchronization with two drive systems and two response systems is presented. Based on the finitetime stability theory, step-by-step control and nonlinear control method, a suitable controller is designed to achieve finite-time combination-combination synchronization among four hyperchaotic systems. Numerical simulations are shown to verify the feasibility and effectiveness of the proposed control technique.

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“…Finite-time synchronization means the optimality in convergence time. Moreover, the finite-time control techniques have demonstrated better robustness and disturbance rejection properties (Bhat S, Bernstein D. 1997) (Hua Wang, 2008).…”

Section: Introductionmentioning

confidence: 99%

Finite Time Synchronization between Two Different Chaotic Systems with Uncertain Parameters

Yang¹,

Xia²,

Dong³

et al. 2010

CIS

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This paper deals with the finite-time chaos synchronization between two different chaotic systems with uncertain parameters by using active control. Based on the finite-time stability theory, a control law is proposed to realize finite-time chaos synchronization for the uncertain systems Lorenz and Lü. The controller is simple and robust against the uncertainty in system parameters. Numerical results are presented to show the effectiveness of the proposed control technique.

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Finite-time chaos synchronization of unified chaotic system with uncertain parameters

Cited by 168 publications

References 16 publications

Finite-Time Synchronization for Uncertain Master-Slave Chaotic System via Adaptive Super Twisting Algorithm

Finite-Time Synchronization for Uncertain Master-Slave Chaotic System via Adaptive Super Twisting Algorithm

Finite-Time Combination-Combination Synchronization for Hyperchaotic Systems

Finite Time Synchronization between Two Different Chaotic Systems with Uncertain Parameters

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