Fixed/predefined-time generalized synchronization for stochastic complex dynamical networks with delays

In this paper, the fixed/predefined-time generalized synchronization problem of stochastic complex dynamical networks with delays is studied for the first time. First, based on the feedback controller without linear terms, the results show that the controlled system has strong stability. Second, sto...

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Bibliographic Details
Published inAIMS mathematics Vol. 9; no. 3; pp. 5482 - 5500
Main Authors Zhang, Qike, Xie, Tao, Fang, Wenxiang
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2024
Subjects
complex network
fixed-time synchronization
generalized synchronization
predefined-time synchronization
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Summary:In this paper, the fixed/predefined-time generalized synchronization problem of stochastic complex dynamical networks with delays is studied for the first time. First, based on the feedback controller without linear terms, the results show that the controlled system has strong stability. Second, stochastic analysis methods, inequality techniques, and an extension of the existing fixed/predefined-time stability lemma ($ \eta $ range extension) are used to make the results of this paper more general. The sufficient conditions for generalized synchronization are established, and the settling time independent of the initial values are given. To illustrate the theoretical results, a numerical example is given.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2024266