Email this article The Method of Lyapunov-Razumikhin Functions in Stability Analysis of Systems with Delay
- Authors: Andreev A.S.1, Sedova N.O.1
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Affiliations:
- Ulyanovsk State University
- Issue: Vol 80, No 7 (2019)
- Pages: 1185-1229
- Section: Reviews
- URL: https://journals.rcsi.science/0005-1179/article/view/151429
- DOI: https://doi.org/10.1134/S0005117919070014
- ID: 151429
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Abstract
The history of development and the current state-of-the-art in the stability theory of systems with delay based on an effective generalization of the direct Lyapunov method are presented. This method uses “classical” Lyapunov functions in combination with the Razumikhin condition.
About the authors
A. S. Andreev
Ulyanovsk State University
Author for correspondence.
Email: andreevas@ulsu.ru
Russian Federation, Ulyanovsk
N. O. Sedova
Ulyanovsk State University
Author for correspondence.
Email: sedovano@ulsu.ru
Russian Federation, Ulyanovsk
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