Chaotic synchronization and anti-synchronization for a novel class of multiple chaotic systems via a sliding mode control scheme

The problem of exponential synchronization for a class of general complex dynamical networks with nonlinear coupling delays by adaptive pinning periodically intermittent control is considered in this paper. We use the methods of the adaptive control, pinning control and periodically intermittent control. Based on the piecewise Lyapunov stability theory, some less conservative criteria are derived for the global exponential synchronization of the complex dynamical networks with coupling delays. And several corresponding adaptive pinning feedback synchronization controllers are designed. These controllers have strong robustness against the coupling strength and topological structure of the network. Using the delayed nonlinear system as the nodes of the networks, a numerical example of the complex dynamical networks with nonlinear coupling delays is given to demonstrate the effectiveness of the control strategy.

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“…This contradicts the second inequality in (20), and so (19) holds. Then, we prove that Ψ(t) = P0(t) − βQ0e…”

Section: Exponential Synchronization Of Delayed Complex Dynamical Netmentioning

confidence: 91%

Synchronization of Complex Networks with Coupling Delays via Adaptive Pinning Intermittent Control

Sun

Zhao

et al. 2013

Int. J. Autom. Comput.

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“…Mittag-Leffler stability and synchronization of memristor-based fractional-order neural networks were discussed in [14]. In addition, the results for stability analysis and synchronization of fractional-order networks were presented in [15][16][17][18][19][20][21][22][23].…”

Section: Introductionmentioning

confidence: 99%

New Methods of Finite-Time Synchronization for a Class of Fractional-Order Delayed Neural Networks

Zhang

Cao

Alsaedi

et al. 2017

Mathematical Problems in Engineering

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Finite-time synchronization for a class of fractional-order delayed neural networks with fractional order , 0 < ≤ 1/2 and 1/2 < < 1, is investigated in this paper. Through the use of Hölder inequality, generalized Bernoulli inequality, and inequality skills, two sufficient conditions are considered to ensure synchronization of fractional-order delayed neural networks in a finitetime interval. Numerical example is given to verify the feasibility of the theoretical results.

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“…In recent years, the idea of synchronization of chaotic systems has received a great deal of interest among scientists from various fields [1][2][3][4][5][6][7][8]. In their seminal paper, Pecora and Carroll addressed the synchronization of chaotic system by using a drive-response configuration.…”

Section: Introductionmentioning

confidence: 99%

Adaptive coupled synchronization among three coupled chaos systems and its application to secure communications

Zhang

Zhang²,

et al. 2016

J Wireless Com Network

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In this paper, the adaptive synchronization method of three coupled identical chaos systems is proposed. New generic criteria of global chaos synchronization and strict theoretical proofs are given. The unidirectional (bidirectional) coupled system will synchronize by adding three adaptive feedback gain equations. As an example, the three Rössler chaotic systems with unidirectional coupling are given to realize the adaptive coupled synchronization; at the same time, the three Lorenz chaotic systems donate the bidirectional coupling adaptive synchronization. This paper also extends the above adaptive synchronization method to secure chaos communications through the method of chaos masking. Based on the three coupled identical Lorenz chaotic systems, a novel method of chaos encryption is proposed, and the basic idea is that after encrypting two times in two transmitters and one receiver, information signal can be recovered exactly at the receiver end. In consideration of interfering random white noise, the results of encoding and decoding are simulated and analyzed for the multistage chaos synchronized system. By analyzing the characteristics of noise, this paper presents a de-noising method using wavelet transform. At last, a secure communications method for high amplitude information signal transmission based on chaotic masking is studied. With the MATLAB, the effects of signal de-noising could be demonstrated.

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Chaotic synchronization and anti-synchronization for a novel class of multiple chaotic systems via a sliding mode control scheme

Cited by 95 publications

References 28 publications

Synchronization of Complex Networks with Coupling Delays via Adaptive Pinning Intermittent Control

Synchronization of Complex Networks with Coupling Delays via Adaptive Pinning Intermittent Control

New Methods of Finite-Time Synchronization for a Class of Fractional-Order Delayed Neural Networks

Adaptive coupled synchronization among three coupled chaos systems and its application to secure communications

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