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Integral version of Lyapunov–Razumikhin conditions

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2026 France English Publisher:Elsevier BVJournal:Automatica, volume 183, page 112,633 (issn: 0005-1098, Copyright policy )
Authors: Wang, Jian; Efimov, Denis; Aleksandrov, Alexander;

doi: 10.1016/j.automatica.2025.112633

Integral version of Lyapunov–Razumikhin conditions

Abstract

For a retarded nonlinear system, this paper proposes a modification of the Lyapunov-Razumikhin method introducing a distributed integral of Lyapunov function for comparison with its current value instead of the maximum over delayed interval. The developed conditions are illustrated on different analysis problems presenting integral Halanay-type inequalities.

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France
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[INFO.INFO-AU] Computer Science [cs]/Automatic Control Engineering

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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