Improved delay-dependent stability criteria for neural networks with two additive time-varying delay components

Authors:
Junkang Tian;Shouming Zhong
Affiliations:
School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, PR China;School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, PR China and Key Laboratory for Neuroinformation of Ministry of Education, Unive ...
Venue:
Neurocomputing
Year:
2012

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Abstract

In this paper, the problem of stability criteria of neural networks with two additive time-varying delay components is investigated. Some new delay-dependent stability criteria are derived in terms of linear matrix inequalities by choosing a new class of Lyapunov functional. The obtained criteria are less conservative because reciprocally convex approach and convex polyhedron approach are considered. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.