Anti-Synchronization and Synchronization of Coupled Chaotic System With Ring Connection and Stochastic Perturbations

Zhang, Chaolong; Deng, Feiqi; Zhang, Wenfeng; Hou, Tao; Yang, Zhaohui

doi:10.1109/access.2019.2921661

Cited by 3 publications

(3 citation statements)

References 18 publications

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“…The synchronization of the chaotic system realizes that the coordination of work for modern control theory [7][8][9][10] and engineering applications is significant. On the other hand, partial anti-synchronous control is more demanding and difficult to implement [11][12][13][14][15], which causes scholars to also be interested in this aspect of research, and people are bound to continue their research in relation to these two hot spots.…”

Section: Introductionmentioning

confidence: 99%

“…To the best of our knowledge, there have been many results on the problem of complete synchronization and partial anti-synchronization of chaotic systems (see Refs. [15][16][17]). In recent years, scholars proposed various control methods to achieve the complete synchronization and partial anti-synchronization of chaotic systems, such as passive control [18], adaptive control [19], sliding mode control [20] and fuzzy control [21].…”

Section: Introductionmentioning

confidence: 99%

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Complete Synchronization and Partial Anti-Synchronization of Complex Lü Chaotic Systems by the UDE-Based Control Method

et al. 2022

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The presence of uncertainty and disturbance can lead to asymmetric control of nonlinear systems, and this asymmetric control can lead to a decrease in the productivity of the engineered system. In order to improve the control speed of the improved nonlinear system, complete synchronization and partial anti-synchronization of complex Lü chaotic systems with uncertainty and disturbance are investigated in the present paper. First, a new UDE-based dynamic feedback control method is proposed for the complete synchronization problem of the system. The method unites the dynamic gain feedback control method and the uncertainty and perturbation estimator (UDE) control method, where the dynamic gain feedback controller is used to achieve asymptotic stability of the nominal system and the UDE controller is used to handle a given controlled system with uncertainty and disturbance. Second, for the partial desynchronization problem of this system, a new UDE-based linear-like feedback control method is proposed, which consists of two controllers: a linear-like feedback controller used to achieve the asymptotic stabilization of the nominal system and the other UDE controller is designed to handle the given controlled system with uncertainty and disturbance. Finally, numerical simulations are performed to verify the correctness and stability of the theoretical results.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Complete Synchronization and Partial Anti-Synchronization of Complex Lü Chaotic Systems by the UDE-Based Control Method

et al. 2022

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“…The work presented in [10,11]; authors have examined the synchronisation behaviour of linearly coupled chaotic dynamical systems. An investigation of synchronisation behaviour of coupled chaotic systems in ring connection has been presented [12]. Jinhu Lü, X. Yu and G. Chen investigated the synchronisation phenomenon in a large scale complex network by means of inner-coupling configuration matrix and corresponding eigenvalues using Lyapunov stability theory [13].…”

Section: Introductionmentioning

confidence: 99%

Synchronisation Conditions for a Class of Non-linearly Coupled Networks using Contraction Based Strategy

Chauhan

Sharma

2021

Preprint

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This paper describes a simple and general framework for synchronisation of non-linearly coupled dynamical systems interconnected to constitute a com- plex network. The proposed methodology of attaining synchronisation of networks is based on contraction strat- egy. The paper introduces a systematic control proce- dure to achieve synchronisation of a coupled dynamical network of proposed strict-feedback like class of nonlin- ear systems. The non-linear coupling function between different systems of the network is assumed to be in the form of bidirectional links. The proposed method- ology can be applicable to any arbitrarily structure of linear/non-linear, bidirectional or unidirectional N- coupled systems in a network. The general results have been derived for coupled systems interacting through nonlinear coupling function which are interconnected in different networked topologies including Ring, Global, Star, Arbitrary etc. The analytical conditions for syn- chronisation are expressed in terms of bounds on cou- pling strength which are derived using partial contrac- tion concepts blended with graph theory results. The proposed approach is straightforwardly applied to high dimensional non-linearly coupled chaotic systems which are common in many applications. A set of representa- tive examples of coupled chaotic systems based network are simulated to verify the theoretical results.

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Finite-Time Synchronization of Delayed Complex Networks via Adaptive Intermittent Control

曹¹

2020

DSC

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Anti-Synchronization and Synchronization of Coupled Chaotic System With Ring Connection and Stochastic Perturbations

Cited by 3 publications

References 18 publications

Complete Synchronization and Partial Anti-Synchronization of Complex Lü Chaotic Systems by the UDE-Based Control Method

Complete Synchronization and Partial Anti-Synchronization of Complex Lü Chaotic Systems by the UDE-Based Control Method

Synchronisation Conditions for a Class of Non-linearly Coupled Networks using Contraction Based Strategy

Finite-Time Synchronization of Delayed Complex Networks via Adaptive Intermittent Control

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