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2005•IEEE Transactions on Circuits and Systems II Analog and Digital Signal ProcessingRequires access

Global asymptotic stability and global exponential stability of neural networks with unbounded time-varying delays

Zhigang Zeng, Jun Wang, Xiaoxin Liao

Open publisher page 130 citations

Abstract

This brief studies the global asymptotic stability and the global exponential stability of neural networks with unbounded time-varying delays and with bounded and Lipschitz continuous activation functions. Several sufficient conditions for the global exponential stability and global asymptotic stability of such neural networks are derived. The new results given in the brief extend the existing relevant stability results in the literature to cover more general neural networks.

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What this paper is about

This brief studies the global asymptotic stability and the global exponential stability of neural networks with unbounded time-varying delays and with bounded and Lipschitz continuous activation functions. Several sufficient conditions for the global exponential stability and global asymptotic stability of such neural networks are derived. The new results given in the brief extend the existing relevant stability results in the literature to cover more general neural networks.

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OpenAlex reports 130 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

This brief studies the global asymptotic stability and the global exponential stability of neural networks with unbounded time-varying delays and with bounded and Lipschitz continuous activation functions. Several sufficient conditions for the global exponential stability and global asymptotic stability of such neural networks are derived. The new results given in the brief extend the existing relevant stability results in the literature to cover more general neural networks.

Key concepts: Exponential stability, Lipschitz continuity, Stability (learning theory), Bounded function, Artificial neural network, Applied mathematics, Mathematics, Control theory (sociology)

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