Abstract
This paper addresses the anti-synchronization control problem of memristor-based distributed parameter neural networks (MDPNNs) with time-varying delays. An intermittent sampled-data controller is proposed such that the response system can be anti-synchronized with the drive system by using Lyapunov stability theory. The design approach of the desired intermittent sampled-data controller is first proposed. Based on a differential inequality and linear matrix inequality (LMI) technology, novel sufficient conditions for the exponential anti-synchronization are obtained in terms of line matrix inequalities. Numerical simulations are shown to demonstrate the effectiveness of the theoretical results.
Highlights
During the last decades, neural networks (NNs) have been successfully employed in many different fields such as pattern recognition, information science, associative memories, and so on [ – ]
Since the memristor has been successfully utilized as a notional tool to analyze signals and nonlinear semiconductor devices, it is becoming an interesting problem to investigate the memristor-based neural networks (MNNs) because of its practical applications of the NNs [ – ]
Compared with the existing results, the main contributions of this paper can be summarized as follows: the first involves that we make the first attempt to consider the intermittent sampled-data anti-synchronization control analysis for a kind of memristor-based distributed parameter neural networks (MDPNNs) with time-varying delays; the second relates to that an intermittent sampled-data controller is designed to get the anti-synchronization of the considered networks
Summary
Neural networks (NNs) have been successfully employed in many different fields such as pattern recognition, information science, associative memories, and so on [ – ]. An adaptive learning control strategy was applied to investigate the synchronization problem for delayed NNs with reactiondiffusion terms and unknown time-varying coupling strengths in [ ]. Many authors have used the sampled-data control scheme to resolve synchronization control problems in various ordinary differential systems such as complex dynamical networks [ ] etc. Compared with the existing results, the main contributions of this paper can be summarized as follows: the first involves that we make the first attempt to consider the intermittent sampled-data anti-synchronization control analysis for a kind of MDPNNs with time-varying delays; the second relates to that an intermittent sampled-data (in time and in space) controller is designed to get the anti-synchronization of the considered networks.
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