Hypergraph Synchronization with Uncertain Coupling Mechanism under Pinning Control
Recently,hypergraph synchronization is a hot topic in network science.However,the study of synchronization on hypergraphs with uncertain coupling mechanism is not reported.Therefore,a general framework for uncertain-coupled hypergraphs is proposed in this paper.The dimension of the error system is reduced by the simultaneous block diagonalization technique for the matrix,which facilitates the calculation of the Lyapunov exponents.On this basis,the necessary condition of synchronization of the uncertain-coupled hypergraph is obtained.Then,the sufficient condition of synchronization of the uncertain-coupled hypergraph is also obtained based on the Lyapunov stability theory.Finally,numerical simulations are conducted to verify the theoretical results.
synchronizationhypergraphuncertain couplingpinning control
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