Noise-induced outer synchronization between two different complex dynamical networks

Sun, Yongzheng; Shi, Hongjun; Bakare, Emmanuel A.; Meng, Qingxin

doi:10.1007/s11071-013-1145-8

Cited by 14 publications

(7 citation statements)

References 25 publications

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“…Consider the uncertain system (11) with the following controller (24) where the constant α > 0 and linear sliding surface is given by Eq. (15). Then, the linear sliding surface is not only reachable but also the (n − m) reduced-order equivalent dynamics is asymptotically stable.…”

Section: Assumptionmentioning

confidence: 98%

“…Synchronization processes are ubiquitous in nature and play a very important role in many different aspects such as biology, ecology, climatology, sociology, and technology [9][10][11][12][13][14][15]. The analysis of synchronization is strengthened due to the fact that natural systems, which we intend to understand and exploit, are often interacted closely from different perspectives, determining the complex dynamics of system's properties.…”

Section: Introductionmentioning

confidence: 99%

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Cluster synchronization in nonlinear complex networks under sliding mode control

2015

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This paper investigates the cluster synchronization for network of nonlinear systems via differential mean value theorem method and sliding mode control strategy. Because of the existence of the nonlinear dynamics, the differential mean value theorem method is used to transform the nonlinear error complex network system into a linear parameter-varying system. Since the robustness to the uncertainties of the sliding mode, we can deal with the linear parametervarying system which contains the time-varying mismatched uncertainties by applying the sliding mode control strategy through the equivalent transformation. In addition, appropriate linear matrix inequality stability condition by the Lyapunov method is derived such that each subsystem in the new sliding mode is completely invariant to both matched and mismatched uncertainties. Finally, simulation example is shown to illustrate the effectiveness of the proposed method.

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Section: Assumptionmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

Cluster synchronization in nonlinear complex networks under sliding mode control

2015

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“…Noise is commonly regarded as a persistent disturbance which usually inhibits synchronization. However, recent researchers have reported that noise could also play a constructive role in nonlinear systems [16,20,26,32]. However, to the best of our knowledge, there have not been any general results for the finite-time outer synchronization of complex dynamic networks with time delay and noise perturbation.…”

Section: Introductionmentioning

confidence: 93%

“…In addition, noise is ubiquitous in the real systems, the synchronization of coupled systems or networks is unavoidably affected by different kinds of noise. Therefore, the effect of noise on synchronization has been well studied [8,13,16,20,25,26,32]. Noise is commonly regarded as a persistent disturbance which usually inhibits synchronization.…”

Section: Introductionmentioning

confidence: 99%

Finite-time outer synchronization between two complex dynamical network with time delay and noise perturbation

Ma¹,

Sun²,

Shi³

2016

Kybernetika

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“…In Refs. [9][10][11], the effect of noise on the synchronization was analyzed. Due to different applications, a wide variety of approaches and controllers in the network synchronization have been proposed, which include the impulsive control [12,13], pinning control [14,15], adaptive coupling schemes [16,17], open-plus-closedloop scheme [18,19] and the finite-time control [20][21][22].…”

Section: Introductionmentioning

confidence: 99%

Theoretical analysis of synchronization in delayed complex dynamical networks with discontinuous coupling

Sun

Liu

et al. 2016

Nonlinear Dyn

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In this paper, we study the synchronization problem of time-delayed complex networks with discontinuous coupling. Sufficient conditions for the synchronization are obtained based on the stability theory of differential equations. The theoretical results show that the time-delayed networks can achieve synchronization even if the coupling is switched off sometimes. We find analytically that the speed of synchronization is proportional to the on-off rate of the coupling and the algebraic connectivity of networks. Finally, the analytical results are confirmed by numerical simulations.

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Noise-induced outer synchronization between two different complex dynamical networks

Cited by 14 publications

References 25 publications

Cluster synchronization in nonlinear complex networks under sliding mode control

Cluster synchronization in nonlinear complex networks under sliding mode control

Finite-time outer synchronization between two complex dynamical network with time delay and noise perturbation

Theoretical analysis of synchronization in delayed complex dynamical networks with discontinuous coupling

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