Adaptive Synchronization of Complex Networks with Mixed Probabilistic Coupling Delays via Pinning Control

Abstract EN

The problem of synchronization for a class of complex networks with probabilistic time-varying coupling delay and distributed time-varying coupling delay (mixed probabilistic time-varying coupling delays) using pinning control is investigated in this paper.

The coupling configuration matrices are not assumed to be symmetric or irreducible.

By adding adaptive feedback controllers to a small fraction of network nodes, a low-dimensional pinning sufficient condition is obtained, which can guarantee that the network asymptotically synchronizes to a homogenous trajectory in mean square sense.

Simultaneously, two simple pinning synchronization criteria are derived from the proposed condition.

Numerical simulation is provided to verify the effectiveness of the theoretical results.