Pinning lag synchronization of drive–response complex networks via intermittent control with two different switched periods

Wang, Jianan; Ma, Xiaoqian; Wen, Xinyu; Sun, Qiyu

doi:10.1016/j.physa.2016.05.016

Cited by 19 publications

(11 citation statements)

References 44 publications

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“…As everyone knows, in the pinning control technique of complex dynamical networks, how to select nodes as pinned nodes is a crucial, significant, and interesting problem. In references [36][37][38], we can see that when a coupling matrix of nodes is undirected, the authors can choose the highly connected nodes as pinned candidates, and when a coupling matrix of nodes is directed, they select the nodes whose out-degrees are larger than in-degrees as controlled candidates. In this article, the nodes can achieve cluster synchronization in each community by the hybrid control method, whereas no synchronization arises among nodes in varying communities.…”

Section: Resultsmentioning

confidence: 99%

Finite-time cluster synchronization for time-varying delayed complex dynamical networks via hybrid control

2019

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Throughout this article, the conundrum on finite-time cluster synchronization is investigated for time-varying delayed complex dynamical networks using a kind of new hybrid control scheme. In the light of Lyapunov stability theorem and finite-time control theory, the finite-time cluster synchronization criteria can be achieved. Besides, we introduce the distinction between cluster synchronization and complete synchronization, which is how to select the controlling nodes. We discuss the differences among cluster synchronization with time-varying delays, complete synchronization with time-varying delays, cluster synchronization with a single delay, and cluster synchronization without delay, which is on constructing Lyapunov functional and designing the finite-time hybrid controllers. Finally, numerical simulations are presented to demonstrate the availability of the theoretical consequences.

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Section: Resultsmentioning

confidence: 99%

Finite-time cluster synchronization for time-varying delayed complex dynamical networks via hybrid control

2019

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“…Recently, significant effort has been devoted to the study of the synchronization of complex dynamical networks [11][12][13][14][15][16][17][18][19][20][21][22][23][24][25]. However, the synchronization criteria in most of the existing studies contain unknown parameters, thereby making system synchronization difficult for workers to verify.…”

Section: Global Exponential Synchronization Of System (1) Using the Hmentioning

confidence: 99%

“…Researchers have proposed several effective control methods, and significant conclusions have been obtained [18][19][20][21][22][23][24][25]. Guaranteed cost synchronization for complex networks was addressed 2 Complexity in [18] by designing a dynamic feedback controller with guaranteed cost synchronization.…”

Section: Introductionmentioning

confidence: 99%

Global Exponential Synchronization of Nonlinearly Coupled Complex Dynamical Networks with Time-Varying Coupling Delays

Luo

Shu

Zhou³

2017

Complexity

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This paper focuses on the global exponential synchronization problem of nonlinearly coupled complex dynamical networks with time-varying coupling delays. Several simple and generic global exponential synchronization criteria are derived based on the Lyapunov stability theory and the Dini derivatives using the Halanay and generalized Halanay inequalities. These criteria rely on system parameters alone and can be used conveniently in practical applications. In addition, the system parameters do not satisfy the conditions of the proposed criteria. That is, the system itself cannot synchronize. However, system synchronization can be achieved by adding the appropriate feedback controllers, thereby providing a practical and effective control method for complex dynamical networks. An estimation method of exponential convergence rate is also presented. Finally, the effectiveness of the proposed criteria is verified through numerical simulations.

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“…The control of nonlinear systems is also one of the focus issues discussed in both academical and industrial fields. Many different control methods have been applied into the control of nonlinear systems, such as impulsive control [15], pinning control [16], intermittent control [17], and adaptive control [18]. Among these control schemes, the adaptive control is a control scheme that can track the change of system states.…”

Section: Introductionmentioning

confidence: 99%

Finite‐Time Synchronization of Complex Multilinks Networks with Perturbations and Time‐Varying Delay Based on Nonlinear Adaptive Controller

Liu

2019

Mathematical Problems in Engineering

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This paper utilizes nonlinear adaptive feedback controller to make the complex multilinks networks with perturbations and time-varying delays achieve the finite-time synchronization. By designing nonlinear controllers, we use suitable Lyapunov functions and sufficient conditions to guarantee the finite-time synchronization between the drive system and the response system in terms of adaptive control. Several novel and useful finite-time synchronization criteria are accurately derived based on linear matrix inequality, Kronecker product, inequality analytical technique, and finite-time stability theory. Finally, numerical examples are given to demonstrate the validity and the effectiveness of our theoretical results.

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Pinning lag synchronization of drive–response complex networks via intermittent control with two different switched periods

Cited by 19 publications

References 44 publications

Finite-time cluster synchronization for time-varying delayed complex dynamical networks via hybrid control

Finite-time cluster synchronization for time-varying delayed complex dynamical networks via hybrid control

Global Exponential Synchronization of Nonlinearly Coupled Complex Dynamical Networks with Time-Varying Coupling Delays

Finite‐Time Synchronization of Complex Multilinks Networks with Perturbations and Time‐Varying Delay Based on Nonlinear Adaptive Controller

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