Fast synchronization of directionally coupled chaotic systems

Cheng, Shan; Ji, Jinchen; Zhou, Jin

doi:10.1016/j.apm.2012.02.018

Cited by 18 publications

(11 citation statements)

References 37 publications

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“…Different control problems to study fast convergence are given in Refs. [30,31]. Fast tracking has been applied in Heating, Ventilation and Air Conditioning (HVAC) control systems.…”

Section: Introductionmentioning

confidence: 99%

Fast synchronization of complex dynamical networks with time-varying delay via periodically intermittent control

Fan

Zhu

et al. 2016

Neurocomputing

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The fast synchronization problem for a class of complex dynamical networks with time varying delay by means of periodically intermittent control is studied. Based on the finite-time stability theory and periodically intermittent control technique, some sufficient synchronization criteria are obtained to guarantee the fast synchronization. Furthermore, the essential condition for guaranteeing periodically intermittent control realized in finite time is given in this paper. Finally, two examples are illustrated to verify the proposed theoretical results.

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“…Different control problems to study fast convergence are given in Refs. [30,31]. Fast tracking has been applied in Heating, Ventilation and Air Conditioning (HVAC) control systems.…”

Section: Introductionmentioning

confidence: 99%

Fast synchronization of complex dynamical networks with time-varying delay via periodically intermittent control

Fan

Zhu

et al. 2016

Neurocomputing

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“…On the other hand, synchronization as a typical collective dynamical behavior of complex networks has drawn considerable attentions recently [15][16][17][18][19][20][21][22][23][24][25][26][27]. However, less attention has been paid to synchronization of complex hyper-networks.…”

Section: Introductionmentioning

confidence: 99%

Synchronization of an evolving complex hyper-network

Duan

2014

Applied Mathematical Modelling

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In this paper, the synchronization in a hyper-network of coupled dynamical systems is investigated for the first time. An evolving hyper-network model is proposed for better describing some complex systems. A concept of joint degree is introduced, and the evolving mechanism of hyper-network is given with respect to the joint degree. The hyper-degree distribution of the proposed evolving hyper-network is derived based on a rate equation method and obeys a power law distribution. Furthermore, the synchronization in a hypernetwork of coupled dynamical systems is investigated for the first time. By calculating the joint degree matrix, several simple yet useful synchronization criteria are obtained and illustrated by several numerical examples.

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“…Therefore, minimizing the synchronization time is essential for achieving fast communication synchrony; and this could be done by means of finite‐time control. The finite‐time control techniques have demonstrated better robustness, disturbance rejection and fast convergence rate properties . Other methods regard the finite‐time stability of autonomous and time‐varying systems, such as pure finite‐time control , CLF‐based method , adaptive finite‐time and linear state feedback control , sliding mode control , the finite‐time stochastic method , and output feedback control .…”

Section: Introductionmentioning

confidence: 99%

Finite‐Time Synchronization of General Complex Dynamical Networks

Wu¹,

Zhang²,

Xu³

et al. 2014

Asian Journal of Control

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The main objective of the present paper is to further investigate finite-time synchronization of a general complex dynamical network from the viewpoint of dynamics and control. By utilizing the finite-time stability theory combined with the inequality techniques, several sufficient criteria on finite-time synchronization are derived analytically. And some effects of control parameters on synchronization speed and synchronization time are also drawn. It is shown that control gains play an important role in making the dynamical networks finite-time exponentially synchronized. Furthermore, the results are applied to a typical nearest-neighbor coupled network composing of chaotic FitzHugh-Nagumo (FHN) neuron oscillators, and numerical simulations are given to demonstrate the effectiveness of the proposed control methodology.

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Fast synchronization of directionally coupled chaotic systems

Cited by 18 publications

References 37 publications

Fast synchronization of complex dynamical networks with time-varying delay via periodically intermittent control

Fast synchronization of complex dynamical networks with time-varying delay via periodically intermittent control

Synchronization of an evolving complex hyper-network

Finite‐Time Synchronization of General Complex Dynamical Networks

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