A. V. Il'in, P. A. Krylov, A. S. Fursov, “An approach to the stabilization problem of a parametrically uncertain linear nonstationary system”, Dokl. RAN. Math. Inf. Proc. Upr., 2020, Volume 494,Pages <nobr>97

This article is cited in 3 papers

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An approach to the stabilization problem of a parametrically uncertain linear nonstationary system

A. V. Il'in^abc, P. A. Krylov^b, A. S. Fursov^abde

^a Hangzhou Dianzi University, Hangzhou, P.R. China
^b Lomonosov Moscow State University, Moscow, Russian Federation
^c Federal Research Center "Computer Science and Control" of Russian Academy of Sciences, Moscow, Russian Federation
^d Bauman Moscow State Technical University, Moscow, Russian Federation
^e Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute), Moscow, Russian Federation

Abstract: An approach based on the method of predictive models and the method of superstabilization is proposed to solve the problem of stabilization of parametrically uncertain linear nonstationary systems. The parametric uncertainty is specified using a family of compact sets in the space of square matrices. This approach is rigorously justified for second-order systems, but can be generalized to systems of arbitrary order.

Keywords: stabilization theory, stabilization of linear nonstationary systems, controllability.

UDC: 517.924

Received: 08.07.2020
Revised: 12.09.2020
Accepted: 15.09.2020

DOI: 10.31857/S2686954320050471