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New stability analysis for generalized neural networks with interval time-varying delays
Yanmin Liu,Junkang Tian,Zerong Ren 제어·로봇·시스템학회 2017 International Journal of Control, Automation, and Vol.15 No.4
This paper deals with the problem of delay-dependent stability for neural networks with interval timevaryingdelays. First, we divided delay interval into two parts. Second, a new Lyapunov-Krasovskii functional isconstructed, and relationships between the augmented state vectors have been fully considered, which may yieldless conservative results. Third, based on free-matrix-based integral inequality method and reciprocally convextechnique, some new less conservative delay-dependent stability criteria have been obtained by combining with thenew Lyapunov-Krasovskii functional. Finally, two numerical examples are given to show the effectiveness of thederived conditions over the existing ones.