Implementation of adaptive coupling through memristor

Since its discovery, memristor attracted a lot of attention for its potential applications as next generation electronic device, as system for modeling and implementing biological synapses and as key component in nonlinear circuits. Here we exploit the peculiarities of the HPmemristor in order to realize an adaptive coupling, able to reach consensus and synchronization between two dynamical systems. In particular, the coupling scheme consists of two HP memristors connected in antiparallel which allow to deal with consensus/synchronization error of either positive and negative sign. Simulation results on consensus of two agents with integrator dynamics and synchronization of two Chua's circuits show the suitability of the proposed approach. (C) 201 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim