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The Method of Lyapunov-Razumikhin Functions in Stability Analysis of Systems with Delay

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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.

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Acknowledgments

This work was supported by the Ministry of Education and Science of the Russian Federation within the State order for research, project no. 9.5994.2017/BCh, and by the Russian Foundation for Basic Research, project no. 1841-730022.

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    A. S. Andreev & N. O. Sedova

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This paper was recommended for publication by L.B. Rapoport, a member of the Editorial Board

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Andreev, A.S., Sedova, N.O. The Method of Lyapunov-Razumikhin Functions in Stability Analysis of Systems with Delay. Autom Remote Control 80, 1185–1229 (2019). https://doi.org/10.1134/S0005117919070014

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