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Synchronization of Complex Dynamical Networks with Dynamical Behavior Links
Author(s) -
Kazemy Ali,
Shojaei Khoshnam
Publication year - 2020
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.1910
Subject(s) - synchronization (alternating current) , control theory (sociology) , computer science , coupling (piping) , stability (learning theory) , lyapunov stability , node (physics) , complex network , state (computer science) , matrix (chemical analysis) , synchronization networks , dynamical systems theory , topology (electrical circuits) , mathematics , control (management) , algorithm , engineering , physics , artificial intelligence , mechanical engineering , materials science , combinatorics , quantum mechanics , machine learning , world wide web , composite material , structural engineering
In this paper, synchronization of a complex dynamical network (CDN) is investigated while the coupling connections of the network exhibit dynamic behavior. As it is shown in simulations, the dynamic links can cause synchronization losing in the network whereas the links in many real‐world CDNs have dynamic behavior. To analyzing the effect of these links, two different CDN models are considered: without time delays and with delays in the coupling connections. By means of Lyapunov(‐Krasovskii) theory, stability analysis of the error dynamics between the nodes of these CDNs and an introduced individual node is investigated which yields some conditions in the form of linear matrix inequalities (LMIs). These LMIs can be solved easily by various existing LMI solvers. Moreover, the gain matrices of state feedback controllers will be obtained by solving the LMIs. In the end, illustrative numerical examples are given to specify the effectiveness of the proposed method.