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Global stability for neural networks of neutral-type with interval time-varying delays. (English) Zbl 1198.34158

Summary: The global asymptotic stability of delayed cellular neural networks of neutral-type is investigated. The delay is assumed to be time-varying and belongs to a given interval. A novel delay-dependent criterion for the stability using the Lyapunov stability theory and linear matrix inequality (LMI) framework is presented. Two numerical examples are given to show the effectiveness of proposed method.

Editorial remark: There are doubts about a proper peer-reviewing procedure of this journal. The editor-in-chief has retired, but, according to a statement of the publisher, articles accepted under his guidance are published without additional control.

MSC:
34K20Stability theory of functional-differential equations
34K40Neutral functional-differential equations
92B20General theory of neural networks (mathematical biology)