Adaptive adjustor designs for a class of nonlinearly sampling coupled networks

Abstract

This paper designs a coupling adjustor for asymptotic synchronization of complex networks with a class of nonlinear sampling couplings. A version of the adaptive scheme is provided to adjust coupling strength for compensating for the adverse impact of sampling errors. Based on the Lyapunov stability theory, the asymptotic synchronization results of the whole networks can be obtained for nonlinear sampling couplings even without any control inputs. Finally, the proposed adaptive adjustment schemes are verified by an example on a Chua's circuit network.