Concise lagrange stability condition for multiple-delay competitive neural networks

doi:10.1007/s40314-025-03262-3

Concise lagrange stability condition for multiple-delay competitive neural networks

2025-05-23

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DOI：10.1007/s40314-025-03262-3

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Abstract

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This paper investigates Lagrange stability of competitive neural networks (CNNs) with multiple time-varying leakage delays. This study provides a novel approach based on the characteristic of system solutions, thus obtaining concise sufficient conditions to guarantee Lagrange stability of CNNs. The approach not only handles multiple time-varying leakage delays well, but also produces simpler Lagrange stability conditions that only require a few simple inequalities to be solved. Finally, numerical examples are provided to demonstrate the validity of the acquired results.

Keywords:

Competitive neural networks (CNNs)

Lagrange stability

Multiple time-varying leakage delays

A direct method based on system solutions.

Concise lagrange stability condition for multiple-delay competitive neural networks

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