Persistent synchronization of heterogeneous networks with time-dependent linear diffusive coupling
This paper deals with linearly coupled temporal networks of heterogeneous time-dependent agents with internal dynamics. Temporal networks, also called temporal graphs or time-varying networks, are characterized by variations in the graph structure. The coefficients of the adjacency matrix are assumed to be locally integrable in time while the internal dynamics are Lipschitz Carathéodory functions. The authors provide sufficient conditions to ensure the synchronization of the entire network or a portion of it, namely a cluster. The results are obtained by constructing a suitable linear nonautonomous problem bounding the evolution of synchronization errors. The persistence of the synchronization result against perturbations is also discussed. Several examples illustrate the applicability of the obtained results.
Carathéodory ordinary differential equations
scientific article; zbMATH DE number 7900944
scientific article