2010
DOI: 10.1007/s11071-010-9896-y
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Synchronization of neutral complex dynamical networks with coupling time-varying delays

Abstract: In this paper, the synchronization problem for a class of neutral complex dynamical networks with coupling time-varying delays is considered. A delay-dependent synchronization criterion is derived for the synchronization of neutral complex dynamical networks. By the use of a convex representation of the sector-restricted nonlinearity in system dynamics, the stability condition based on the discretized Lyapunov-Krasovskii functional is obtained via LMI (linear matrix inequality) formulation. The effectiveness o… Show more

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Cited by 78 publications
(35 citation statements)
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“…A complex network is a large set of interconnected nodes, in which every node represents an individual agent of the system, while edges represent relations between nodes [1]. The nature of complex networks, such as topological structures, dynamical evolution and node diversities, has been fully investigated recently due to the wide applications [2][3][4][5][6][7]. Also, the study on geometric features, collective behaviors and control and synchronization of complex networks has received significant concerns [8][9][10].…”
mentioning
confidence: 99%
See 1 more Smart Citation
“…A complex network is a large set of interconnected nodes, in which every node represents an individual agent of the system, while edges represent relations between nodes [1]. The nature of complex networks, such as topological structures, dynamical evolution and node diversities, has been fully investigated recently due to the wide applications [2][3][4][5][6][7]. Also, the study on geometric features, collective behaviors and control and synchronization of complex networks has received significant concerns [8][9][10].…”
mentioning
confidence: 99%
“…Set d i = Error evolution of three states. b Control strengths k i (i = 1, 2,3,4,5) 0.05, δ i j = 1, Γ 1 = 5I , Γ 2 = 3I and the map ϕ i (x i ) = x i for i, j = 1, 2, 3, 4, 5. Therefore, the Jacobian matrix of the map ϕ…”
mentioning
confidence: 99%
“…One of the most exciting phenomena that emerged from studies of coupled chaotic systems interacting on lattices was the emergence of synchronization under diffusive coupling [3,4]. The generality of synchronization in the presence of disorder in the coupling connections has also been explored in recent times.…”
Section: Introductionmentioning
confidence: 99%
“…Therefore, it is necessary to take time delays and uncertainties into account in stability analysis of GRNs. The problems on stability analysis and synchronization of delayed neural networks and complex networks have been extensively investigated during the past decades [10,11,15,16,20,37]. Recently, many significant results on the stability issue of delayed GRNs have been published in the literature; see, for example, [1,13,17,22,23,27,30,33,38] and the references therein.…”
Section: Introductionmentioning
confidence: 99%