Global projective lag synchronization of fractional order memristor based BAM neural networks with mixed time varying delays

This paper addresses Master-Slave synchronization for some memristor- based fractional-order BAM neural networks (MFBNNs) with mixed time varying delays and switching jumps mismatch. Firstly, considering the inherent characteristic of FMNNs, a new type of fractional-order differential inequality is proposed. Secondly, an adaptive switching control scheme is designed to realize the global projective lag synchronization goal of MFBNNs in the sense of Riemann-Liouville derivative. Then, based on a suitable Lyapunov method, under the framework of set-valued map, differential inclusions theory, fractional Barbalat’s lemma and proposed control scheme, some new projective lag synchronization criteria for such MFBNNs are obtained. Finally, some numerical examples are presented to illustrate the effectiveness of the proposed theoretical analysis.This work was jointly supported with the financial support of RUSA - Phase 2.0 grant sanctioned vide letter No. F.24-51/2014-U (TNMulti-Gen), Dept.of Education Govt. of India, Thailand research grant fund (RSA5980019), the Jiangsu Provincial Key Laboratory of Networked Collective Intelligence under Grant No. BM2017002