Adaptive modified function projective synchronization of unknown chaotic systems with different order

Zheng, Song

doi:10.1016/j.amc.2011.11.034

Cited by 35 publications

(14 citation statements)

References 24 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Therefore, it is more challenging and attractive to realize the MFPS of two chaotic systems. Examples of such papers include . For example, Zheng et al investigated the MFPS of two different uncertain chaotic systems.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Adaptive‐impulsive function projective synchronization for a class of time‐delay chaotic systems

Zheng

2014

Complexity

Self Cite

View full text Add to dashboard Cite

This article investigates the function projective synchronization (FPS) for a class of time‐delay chaotic system via nonlinear adaptive‐impulsive control. To achieve the FPS, suitable nonlinear continuous and impulsive controllers are designed based on adaptive control theory and impulsive control theory. Using the generalized Babarlat's lemma, a general condition is given to ensure the FPS. Here, the time‐delay chaotic system is assumed to satisfy the Lipschitz condition while the Lipschitz constants are estimated by augmented adaptation equations. Numerical simulation results are also presented to verify the effectiveness of the proposed synchronization scheme. © 2014 Wiley Periodicals, Inc. Complexity 21: 333–341, 2015

show abstract

Section: Introductionmentioning

confidence: 99%

“…For example, Zheng et al investigated the MFPS of two different uncertain chaotic systems. Furthermore, Zheng studied the MFPS of two different order chaotic systems. Liu et al discussed the adaptive MFPS of general chaotic complex systems with unknown parameters.…”

Section: Introductionmentioning

confidence: 99%

Adaptive‐impulsive function projective synchronization for a class of time‐delay chaotic systems

Zheng

2014

Complexity

Self Cite

View full text Add to dashboard Cite

show abstract

“…On the other hand, various synchronization schemes have been proposed such as linear and nonlinear feedback synchronization method [21][22][23][24], adaptive synchronization method [25][26][27][28][29][30][31], time-delay feedback method [32,33], backstepping control method [34,35], sliding mode control method [36,37], and impulsive synchronization method [38,39]. Among them, adaptive control and nonlinear control methods are often used to solve the problems on synchronization of systems with unknown parameters or time-varying parameters, which are usually encountered in practical applications.…”

Section: Introductionmentioning

confidence: 99%

Generation and Modified Projective Synchronization for a Class of New Hyperchaotic Systems

Jia

Wang

2013

Abstract and Applied Analysis

View full text Add to dashboard Cite

A class of new hyperchaotic systems with different nonlinear terms is proposed, and the existence of hyperchaos is exhibited by calculating their Lyapunov exponent spectrums. Then the universal theories on modified projective synchronization (MPS) of the systems with general form which linearly depends on unknown parameters or time-varying parameters, are investigated by presenting an adaptive control strategy together with parameter update laws and a nonlinear control scheme based on Lyapunov stability theory. Subsequently, the presented control methods are applied to achieve MPS of the new hyperchaotic systems, and their effectiveness is illustrated by numerical simulations.

show abstract

“…Recently, MFPS was extensively investigated [15,16], in which a scaling function matrix is involved into the synchronization scheme between the drive and response systems. We believe sometimes there exists a "displacement" between the synchronized systems.…”

mentioning

confidence: 99%

Universal Function Projective Synchronization of Chaotic Systems with Uncertainty by Using Active Fuzzy Sliding Mode Control

Zhang

2016

Advances in Intelligent Systems and Computing

View full text Add to dashboard Cite

In the paper, the definition of universal function projective synchronization (UFPS) is restated which generalize the definition of modified function projective synchronization. An active fuzzy sliding mode controller is introduced for UFPS of chaotic systems. By using the fuzzy logical system, the chattering phenomenon is reduced. The systems with uncertainty are considered. Theoretical proofs are given based on the Lyapunov stability theory. Simulation results verify the effectiveness of the introduced approach.

show abstract

Adaptive modified function projective synchronization of unknown chaotic systems with different order

Cited by 35 publications

References 24 publications

Adaptive‐impulsive function projective synchronization for a class of time‐delay chaotic systems

Adaptive‐impulsive function projective synchronization for a class of time‐delay chaotic systems

Generation and Modified Projective Synchronization for a Class of New Hyperchaotic Systems

Universal Function Projective Synchronization of Chaotic Systems with Uncertainty by Using Active Fuzzy Sliding Mode Control

Contact Info

Product

Resources

About