Abstract
This paper studies the stability of discrete-time neural networks with an interval-like time-varying delay via the Lyapunov–Krasovskii (L–K) functional method. Firstly, a general free-matrix-based (GFMB) summation inequality is proposed, which includes the auxiliary-function-based and conventional free-matrix-based ones. Secondly, a novel L–K functional is deliberately constructed to make full advantage of the newly-developed GFMB summation inequality. Finally, a new stability condition is derived and two widely-used numerical examples are presented to show the effectiveness of the proposed approach.
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