Engineering Mathematics

Stabilization of a system with linear delay

B. G. Grebenshchikov^a, A. B. Lozhnikov<sup>ab

a</sup> Ural Federal University, Ekaterinburg, Russian Federation
^b N.N. Krasovskii Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg

Abstract: The problem of stabilization of a linear system of differential equations with constant delay containing fast and slow variables is considered. The systems of this kind can be obtained from the systems with linear delay by replacing an argument. An algorithm for stabilizing this system with delay is proposed and implemented using Matlab application software package.

Keywords: asymptotic stability, linear delay, stabilization.

UDC: 519.6

Received: 15.08.2021

Language: English

DOI: 10.14529/jcem210301