Identifying partial topology of complex networks with stochastic perturbations and time delay

Chen, Chunyan; Zhou, Jin; Qu, Fenglin; Song, Changjiang; Zhu, Shuaibing

doi:10.1016/j.cnsns.2022.106779

Cited by 7 publications

(4 citation statements)

References 21 publications

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“…Additionally, it can overcome many of the mentioned shortcomings of other methods [ 8 , 9 , 10 , 11 , 12 , 13 ], except for requiring huge computation as well as a priori knowledge about the topological parameters. In addition, it does not require that the coupling topology matrix to be undirected [ 34 , 35 ].…”

Section: Problem Formulationmentioning

confidence: 99%

“…The authors of [ 32 ] studied the pinning synchronization problem for a class of complex networks using a moment-based analysis approach. Recently, in order to save on the cost of identification and investigate the benefits of the pinning mechanism, the authors of [ 33 , 34 ] investigated the problem of identifying the partial topology for undirected networks.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Design of a Robust Synchronization-Based Topology Observer for Complex Delayed Networks with Fixed and Adaptive Coupling Strength

Sun,

Wu,

Chen

et al. 2024

Entropy

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Network topology plays a key role in determining the characteristics and dynamical behaviors of a network. But in practice, network topology is sometimes hidden or uncertain ahead of time because of network complexity. In this paper, a robust-synchronization-based topology observer (STO) is proposed and applied to solve the problem of identifying the topology of complex delayed networks (TICDNs). In comparison to the existing literature, the proposed STO does not require any prior knowledge about the range of topological parameters and does not have strict limits on topology type. Furthermore, the proposed STO is suitable not only for networks with fixed coupling strength, but also for networks with adaptive coupling strength. Finally, a few comparison examples for TICDNs are used to verify the feasibility and efficiency of the proposed STO, and the results show that the proposed STO outperforms the other methods.

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Section: Problem Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Design of a Robust Synchronization-Based Topology Observer for Complex Delayed Networks with Fixed and Adaptive Coupling Strength

Sun,

Wu,

Chen

et al. 2024

Entropy

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show abstract

“…[38] firstly puts forward the method of identifying partial network topology. On the basis of [38], [4] considers the case with stochastic perturbations and time delay. It is noted that in the method of [4,38], the node dynamics of the response network need to be the same as the node dynamics of the drive network, which will be very costly when the node dynamics of the drive network are very complex or has a high dimension.…”

Section: Introductionmentioning

confidence: 99%

“…On the basis of [38], [4] considers the case with stochastic perturbations and time delay. It is noted that in the method of [4,38], the node dynamics of the response network need to be the same as the node dynamics of the drive network, which will be very costly when the node dynamics of the drive network are very complex or has a high dimension. In order to solve this problem, generalized synchronization method is employed in the paper, where the node dynamics of the constructed response network can be simpler than that of the drive network.…”

Section: Introductionmentioning

confidence: 99%

Generalized synchronization-based partial topology identification of complex networks

Zhang¹,

Zhu²,

Zheng³

2023

Kybernetika

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In this paper, partial topology identification of complex networks is investigated based on synchronization method. We construct the response networks consisting of nodes withsimplerdynamics than that in the drive networks. By constructing Lyapunov function, sufficient conditions are derived to guaranteepartial topology identificationby designing suitable controllers and parameters update laws.Several numerical examples are provided to illustrate the effectiveness of the theoretical results.

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Identifying partial topology of complex dynamical networks with distributed delay

Zhu,

Zhao,

et al. 2023

Communications in Nonlinear Science and Numerical Simulation

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Identifying partial topology of complex networks with stochastic perturbations and time delay

Cited by 7 publications

References 21 publications

Design of a Robust Synchronization-Based Topology Observer for Complex Delayed Networks with Fixed and Adaptive Coupling Strength

Design of a Robust Synchronization-Based Topology Observer for Complex Delayed Networks with Fixed and Adaptive Coupling Strength

Generalized synchronization-based partial topology identification of complex networks

Identifying partial topology of complex dynamical networks with distributed delay

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