New global asymptotic stability criterion for neural networks with discrete and distributed delays

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Shi, Peng, Zhang, Jinhui, Qiu, Jiqing and Xing, Li’nan (2007) New global asymptotic stability criterion for neural networks with discrete and distributed delays. Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering , 221 (1). pp. 129-135. ISSN 0959-6518

Abstract

This paper investigates the problem of global asymptotic stability for a class of neural networks with time-varying and distributed delays. By the Lyapunov-Krasovskii functional approach, a new delay-dependent stability criterion is derived in terms of linear matrix inequalities (LMIs). The new stability condition does not require the time delay function to be continuously differentiable and its derivative to be less than 1, and it allows the time delay to be a fast time-varying function. Simulation examples are given to demonstrate the effectiveness of the developed techniques.

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Item type Article
URI https://vuir.vu.edu.au/id/eprint/3406
DOI 10.1243/09596518JSCE287
Official URL http://pii.sagepub.com/content/221/1/129.full.pdf
Subjects Historical > Faculty/School/Research Centre/Department > Institute for Logistics and Supply Chain Management (ILSCM)
Historical > FOR Classification > 0913 Mechanical Engineering
Historical > FOR Classification > 0199 Other Mathematical Sciences Information Systems
Keywords ResPubID18803, neural networks, time-varying delay, distributed delay, global asymptotic stability, linear matrix inequalities
Citations in Scopus 21 - View on Scopus
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