Automation and Remote Control

, Volume 80, Issue 7, pp 1185–1229 | Cite as

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

  • A. S. AndreevEmail author
  • N. O. SedovaEmail author


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.


equation with delay stability Lyapunov’s direct method Razumikhin condition 


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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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© Pleiades Publishing, Ltd. 2019

Authors and Affiliations

  1. 1.Ulyanovsk State UniversityUlyanovskRussia

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