Adaptive synchronization of complex dynamical networks governed by local Lipschitz nonlinearity on switching topology (Q1791333)

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scientific article; zbMATH DE number 6950890
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Adaptive synchronization of complex dynamical networks governed by local Lipschitz nonlinearity on switching topology
scientific article; zbMATH DE number 6950890

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    Adaptive synchronization of complex dynamical networks governed by local Lipschitz nonlinearity on switching topology (English)
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    10 October 2018
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    Summary: This paper investigates the adaptive synchronization of complex dynamical networks satisfying the local Lipschitz condition with switching topology. Based on differential inclusion and nonsmooth analysis, it is proved that all nodes can converge to the synchronous state, even though only one node is informed by the synchronous state via introducing decentralized adaptive strategies to the coupling strengths and feedback gains. Finally, some numerical simulations are worked out to illustrate the analytical results.
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