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«THE BULLETIN OF IRKUTSK STATE UNIVERSITY». SERIES «MATHEMATICS»
«IZVESTIYA IRKUTSKOGO GOSUDARSTVENNOGO UNIVERSITETA». SERIYA «MATEMATIKA»
ISSN 1997-7670 (Print)
ISSN 2541-8785 (Online)

List of issues > Series «Mathematics». 2019. Vol. 30

Stabilization of Coupled Linear Systems Via Bounded Distributed Feedbacks

Author(s)
N. M. Dmitruk
Abstract

This article deals with a stabilization problem for a team of linear interconnected systems via bounded feedbacks. Effective approaches to stabilization of constrained systems from model predictive control theory are developed for the decentralized case when each system of the group is controlled by its local controller. We propose formulations of local optimal control problems and an algorithm based on them that constructs a distributed feedback guaranteeing asymptotic stability of the group.

About the Authors

Natalia Dmitruk, Cand. Sci. (Phys.–Math.), Assoc. Prof., Belarusian State University, 4, Nezavisimosti av., Minsk, 220030, Republic of Belarus, tel.: +375 (17) 2095074, e-mail: dmitrukn@bsu.by

For citation

Dmitruk N.M. Stabilization of Coupled Linear Systems Via Bounded Distributed Feedbacks. The Bulletin of Irkutsk State University. Series Mathematics, 2019, vol. 30, pp. 31-44. https://doi.org/10.26516/1997-7670.2019.30.31

Keywords
stabilization, feedback, distributed control
UDC
517.977
MSC
93D15, 93C05, 49J15
DOI
https://doi.org/10.26516/1997-7670.2019.30.31
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