title: Non-fragile H∞ synchronization of memristor-based neural networks using passivity theory.
abstract: In this paper, we formulate and investigate the mixed H∞ and passivity based synchronization criteria for memristor-based recurrent neural networks with time-varying delays. Some sufficient conditions are obtained to guarantee the synchronization of the considered neural network based on the master-slave concept, differential inclusions theory and Lyapunov-Krasovskii stability theory. Also, the memristive neural network is considered with two different types of memductance functions and two types of gain variations. The results for non-fragile observer-based synchronization are derived in terms of linear matrix inequalities (LMIs). Finally, the effectiveness of the proposed criterion is demonstrated through numerical examples.
authors.affiliation: Department of Electrical Engineering, Yeungnam University, 280 Daehak-Ro, Kyongsan 38541, Republic of Korea.
authors.forename: K
authors.initials: K
authors.lastname: Mathiyalagan
authors.affiliation: Department of Mathematics, Periyar University, Salem 636 011, India.
authors.forename: R
authors.initials: R
authors.lastname: Anbuvithya
authors.affiliation: Department of Mathematics, Sungkyunkwan University, Suwon 440-746, Republic of Korea. Electronic address: krsakthivel@yahoo.com.
authors.forename: R
authors.initials: R
authors.lastname: Sakthivel
authors.affiliation: Department of Electrical Engineering, Yeungnam University, 280 Daehak-Ro, Kyongsan 38541, Republic of Korea. Electronic address: jessie@ynu.ac.kr.
authors.forename: Ju H
authors.initials: JH
authors.lastname: Park
authors.affiliation: Department of Mathematics, Periyar University, Salem 636 011, India.
authors.forename: P
authors.initials: P
authors.lastname: Prakash
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D015233:Models, Statistical; D016571:Neural Networks, Computer; D017711:Nonlinear Dynamics
keywords: Memristor; Non-fragile control; Random uncertainties; Recurrent neural networks; Uncertain delay