Adaptive synchronization of bipartite dynamical networks with distributed delays and nonlinear derivative coupling

Bian, Qiuxiang; Yao, Hongxing

doi:10.1016/j.cnsns.2011.02.035

Cited by 32 publications

(8 citation statements)

References 24 publications

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“…Remark 6. From Corollary 5, we can easily get that the controllers in this paper are simpler than those of Theorem 1 in [29].…”

Section: Corollarymentioning

confidence: 88%

“…On the other hand, the coupled network often occurs in other forms, for example, nonlinearly coupled networks [27] and linearly derivative coupled networks [28]. In [29], a general model of bipartite dynamical network (BDN) with distributed delays and nonlinear derivative coupling was introduced. Synchronization of complex networks has been intensively investigated since they can be applied in power system control, secure communication, automatic control, chemical reaction, and so on [30][31][32].…”

Section: Introductionmentioning

confidence: 99%

“…Yu et al [33] consider the synchronization of switched linearly coupled neural networks with constant delays, but the controllers are complex and changed with the switched rule. Synchronization of two coupled BDNs was investigated by adaptive method [29], but the controllers are complicated and the model does not include infinite distributed delays coupling and switching. Extending BAM neural networks to complex networks, we get complex bipartite dynamical networks (CBDNs).…”

Section: Introductionmentioning

confidence: 99%

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Synchronization of Switched Complex Bipartite Neural Networks with Infinite Distributed Delays and Derivative Coupling

Bian

Cao

et al. 2013

Abstract and Applied Analysis

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A new model of switched complex bipartite neural network (SCBNN) with infinite distributed delays and derivative coupling is established. Using linear matrix inequality (LMI) approach, some synchronization criteria are proposed to ensure the synchronization between two SCBNNs by constructing effective controllers. Some numerical simulations are provided to illustrate the effectiveness of the theoretical results obtained in this paper.

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“…Remark 6. From Corollary 5, we can easily get that the controllers in this paper are simpler than those of Theorem 1 in [29].…”

Section: Corollarymentioning

confidence: 88%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Synchronization of Switched Complex Bipartite Neural Networks with Infinite Distributed Delays and Derivative Coupling

Bian

Cao

et al. 2013

Abstract and Applied Analysis

Self Cite

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“…The other is that assuming the nonlinearities is known and using it for constructing controllers to eliminate the perturbed signals. For this case, the known nonlinear couplings have been considered in controller designs to eliminate the effect of nonlinearities in [15], [16]. It should be emphasized that a more general nonlinear coupling was considered in [17] with an adaptive method.…”

Section: Introductionmentioning

confidence: 99%

Robust synchronization of a class of complex networks with nonlinear couplings via a sliding mode control method

Jin

Wang

2012

2012 24th Chinese Control and Decision Conference (CCDC)

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This paper deals with the robust synchronization problem of a class of complex networks with nonlinearly coupled networks. A sliding mode control strategy is proposed to guarantee the compensation of the nonlinear couplings by means of adaptive adjustment of unknown controller parameters. It is shown that, through Lyapunov stability theory, the proposed sliding mode controllers are successful in ensuring the achievement of asymptotic synchronization of networks even in the case of nonlinear couplings. The proposed controller has been tested by simulation on a Chen network.

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“…However, in the above studies, only linear derivative coupling is considered. More recently, [32] studied the synchronization in a class of dynamical networks with distributed delays and nonlinear derivative coupling. Considering the preceding discussion, nonidentical nodes complex dynamic network with nonlinear derivative coupling, and time-varying coupling strength is not concerned yet.…”

Section: Introductionmentioning

confidence: 99%

Distributed Adaptive Synchronization for Complex Dynamical Networks with Uncertain Nonlinear Neutral-Type Coupling

Miao

2013

Journal of Applied Mathematics

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Distributed adaptive synchronization control for complex dynamical networks with nonlinear derivative coupling is proposed. The distributed adaptive strategies are constituted by directed connections among nodes. By means of the parameters separation, the nonlinear functions can be transformed into the linearly form. Then effective distributed adaptive techniques are designed to eliminate the effect of time-varying parameters and made the considered network synchronize a given trajectory in the sense of square error norm. Furthermore, the coupling matrix is not assumed to be symmetric or irreducible. An example shows the applicability and feasibility of the approach.

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Adaptive synchronization of bipartite dynamical networks with distributed delays and nonlinear derivative coupling

Cited by 32 publications

References 24 publications

Synchronization of Switched Complex Bipartite Neural Networks with Infinite Distributed Delays and Derivative Coupling

Synchronization of Switched Complex Bipartite Neural Networks with Infinite Distributed Delays and Derivative Coupling

Robust synchronization of a class of complex networks with nonlinear couplings via a sliding mode control method

Distributed Adaptive Synchronization for Complex Dynamical Networks with Uncertain Nonlinear Neutral-Type Coupling

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