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New stability analysis for generalized neural networks with interval time-varying delays

Yanmin Liu, Junkang Tian*, Zerong Ren
International Journal of Control, Automation, and Systems, vol. 15, no. 4, pp.1600-1610, 2017

Abstract : "This paper deals with the problem of delay-dependent stability for neural networks with interval timevarying delays. First, we divided delay interval into two parts. Second, a new Lyapunov-Krasovskii functional is constructed, and relationships between the augmented state vectors have been fully considered, which may yield less conservative results. Third, based on free-matrix-based integral inequality method and reciprocally convex technique, some new less conservative delay-dependent stability criteria have been obtained by combining with the new Lyapunov-Krasovskii functional. Finally, two numerical examples are given to show the effectiveness of the derived conditions over the existing ones."

Keyword : Interval time-varying delay, linear matrix inequalities (LMIs), neural networks, stability analysis.

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