Finite-time synchronization of complex networks with nonidentical discontinuous nodes

Yang, Xinsong; Wu, Zhiyou; Cao, Jinde

doi:10.1007/s11071-013-0942-4

Cited by 148 publications

(75 citation statements)

References 44 publications

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“…The second term of u i (t) is based on the finite-time control technology which can synchronize networks in finite time. The previous finite-time controllers usually contain a linear coupling part [35,36]. And it is very difficult to find the suitable coupling constant.…”

Section: Problem Statement and Preliminariesmentioning

confidence: 99%

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Finite-time adaptive outer synchronization between two complex dynamical networks with nonidentical topological structures

Wu¹,

Sun²,

Zhao³

2015

Kybernetika

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Section: Problem Statement and Preliminariesmentioning

confidence: 99%

“…As we all known, a focused problem in the study of finitetime synchronization is how to design a physically available and simple controller to guarantee the realization of the synchronization. Most of finite-time controllers usually contain a linear coupling part [35,36]. However, it is very difficult to find the suitable coupling constant.…”

mentioning

confidence: 99%

Finite-time adaptive outer synchronization between two complex dynamical networks with nonidentical topological structures

Wu¹,

Sun²,

Zhao³

2015

Kybernetika

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“…But in many practical problems, it is required that the described system state does not exceed a certain bound during a fixed finite-time interval [34]. According to this fact, a great number of interesting results on finite-time control design have been proposed for the synchronization of various CDNs; for instance, see [35][36][37][38]. To the best of our knowledge, however, the problem of robust nonfragile synchronization has not been fully investigated for a class of CDNs over a prescribed finite-time interval.…”

Section: Introductionmentioning

confidence: 99%

Finite‐Time Nonfragile Synchronization of Stochastic Complex Dynamical Networks with Semi‐Markov Switching Outer Coupling

Sakthivel

Kaviarasan

et al. 2018

Complexity

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The problem of robust nonfragile synchronization is investigated in this paper for a class of complex dynamical networks subject to semi-Markov jumping outer coupling, time-varying coupling delay, randomly occurring gain variation, and stochastic noise over a desired finite-time interval. In particular, the network topology is assumed to follow a semi-Markov process such that it may switch from one to another at different instants. In this paper, the random gain variation is represented by a stochastic variable that is assumed to satisfy the Bernoulli distribution with white sequences. Based on these hypotheses and the Lyapunov-Krasovskii stability theory, a new finite-time stochastic synchronization criterion is established for the considered network in terms of linear matrix inequalities. Moreover, the control design parameters that guarantee the required criterion are computed by solving a set of linear matrix inequality constraints. An illustrative example is finally given to show the effectiveness and advantages of the developed analytical results.

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“…In [28], exponential lag synchronization for delayed fuzzy cellular neural networks via periodically intermittent control is investigated. From above analysis, finite-time control technique [29][30][31][32][33], are proposed in the previous results concerning periodically intermittent control, which is useful in real applications. As is known to all, there are few papers with regard to the finite-time lag synchronization for complex networks with time delays and time delay coupling by applying periodically intermittent control.…”

Section: Introductionmentioning

confidence: 99%

Finite‐Time lag synchronization of delayed neural networks via periodically intermittent control

Jing

Chen

2015

Complexity

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The problem of finite-time lag synchronization of delayed neural networks via periodically intermittent control is studied. In two sections, based on the same finite-time stability theory and using the same sliding mode control, by designing a periodically intermittent feedback controller and adjusting periodically intermittent control strengths with the updated laws, we achieve the finite-time lag synchronization between two time delayed networks. In addition, we ensure that the trajectory of the error system converges to a chosen sliding surface within finite time and keeps it on forever. Finally, two examples are presented to verify the effectiveness of the analytical results obtained here.

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Finite-time synchronization of complex networks with nonidentical discontinuous nodes

Cited by 148 publications

References 44 publications

Finite-time adaptive outer synchronization between two complex dynamical networks with nonidentical topological structures

Finite-time adaptive outer synchronization between two complex dynamical networks with nonidentical topological structures

Finite‐Time Nonfragile Synchronization of Stochastic Complex Dynamical Networks with Semi‐Markov Switching Outer Coupling

Finite‐Time lag synchronization of delayed neural networks via periodically intermittent control

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