Non-fragile H∞ synchronization of memristor-based neural networks using passivity theory.

Journal: Neural networks : the official journal of the International Neural Network Society
Published Date:

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

  • K Mathiyalagan
    Department of Electrical Engineering, Yeungnam University, 280 Daehak-Ro, Kyongsan 38541, Republic of Korea.
  • R Anbuvithya
    Department of Mathematics, Periyar University, Salem 636 011, India.
  • R Sakthivel
    Department of Biotechnology, Bhupat and Jyoti Mehta School of Biosciences, Indian Institute of Technology Madras, Chennai 600 036, Tamil Nadu, India.
  • Ju H Park
    Department of Electrical Engineering, Yeungnam University, 280 Daehak-Ro, Kyongsan 38541, Republic of Korea. Electronic address: jessie@ynu.ac.kr.
  • P Prakash
    Department of Mathematics, Periyar University, Salem 636 011, India.