This article is cited in 1 paper

Parametric control of solutions to a linear evolution problem in a neighborhood of an unstable equilibrium

A. A. Sedipkov<sup>ab

a</sup> Sobolev Institute of Mathematics, Novosibirsk, Russia
^b Novosibirsk State University, Novosibirsk, Russia

Abstract: Under study is some control problem for a linear system of ordinary differential equations with unstable equilibria. We construct the control under which the solution remains in a neighborhood of an unstable equilibrium however long.

Keywords: parametric control, linear evolution problem, unstable equilibrium.

UDC: 517.977

Received: 29.09.2016
Revised: 04.04.2019
Accepted: 15.05.2019

DOI: 10.33048/smzh.2019.60.413

 English version: Siberian Mathematical Journal, 2019, 60:4, 685–689

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