Dynamics Analysis of a Class of Memristor-Based Recurrent Networks with Time-Varying Delays in the Presence of Strong External Stimuli

Authors:
Shiping Wen;Zhigang Zeng
Affiliations:
Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan, China 430074 and Key Laboratory of Image Processing and Intelligent Control of Education Minist ...;Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan, China 430074 and Key Laboratory of Image Processing and Intelligent Control of Education Minist ...
Venue:
Neural Processing Letters
Year:
2012

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Abstract

In this paper, we investigate the dynamics problem about the memristor-based recurrent network with bounded activation functions and bounded time-varying delays in the presence of strong external stimuli. It is shown that global exponential stability of such networks can be achieved when the external stimuli are sufficiently strong, without the need for other conditions. A sufficient condition on the bounds of stimuli is derived for global exponential stability of memristor-based recurrent networks. And all the results are in the sense of Filippov solutions. Simulation results illustrate the uses of the criteria to ascertain the global exponential stability of specific networks.