PROPORTIONAL LOCAL ASSIGNABILITY OF THE DICHOTOMY SPECTRUM OF ONE-SIDED DISCRETE TIME-VARYING LINEAR SYSTEMS

Pham The Anh; Artur Babiarz; Adam Czornik; Thai Son Doan

doi:10.1137/21M1410932

PROPORTIONAL LOCAL ASSIGNABILITY OF THE DICHOTOMY SPECTRUM OF ONE-SIDED DISCRETE TIME-VARYING LINEAR SYSTEMS

Pham The Anh
, Artur Babiarz
, Adam Czornik
, Thai Son Doan

Katedra Automatyki i Robotyki (RAU/RAU3)

Le Quy Don Technical University
Vietnamese Academy of Science and Technology

Wyniki badań: Wkład do czasopisma › Artykuł › recenzja

1 Cytowanie z bazy Scopus

Abstrakt

We consider a problem of assignability of the dichotomy spectrum for one-sided discrete time-varying linear systems. Our purpose is to prove that uniform complete controllability is a sufficient condition for proportional local assignability of the dichotomy spectrum.

Język oryginału	angielski
Strony (od–do)	1294-1319
Liczba stron	26
Czasopismo	SIAM Journal on Control and Optimization
Tom	60
Numer wydania	3
Identyfikatory DOI	https://doi.org/10.1137/21M1410932
Status publikacji	Opublikowano - 2022

Obszary tematyczne ASJC Scopus

Sterowanie i optymalizacja
Matematyka stosowana

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10.1137/21M1410932

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title = "PROPORTIONAL LOCAL ASSIGNABILITY OF THE DICHOTOMY SPECTRUM OF ONE-SIDED DISCRETE TIME-VARYING LINEAR SYSTEMS",

abstract = "We consider a problem of assignability of the dichotomy spectrum for one-sided discrete time-varying linear systems. Our purpose is to prove that uniform complete controllability is a sufficient condition for proportional local assignability of the dichotomy spectrum.",

keywords = "dichotomy spectrum, discrete time-varying linear systems, pole placement theorem, uniform complete controllability",

author = "Anh, \{Pham The\} and Artur Babiarz and Adam Czornik and Doan, \{Thai Son\}",

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AU - Anh, Pham The

AU - Babiarz, Artur

AU - Czornik, Adam

AU - Doan, Thai Son

PY - 2022

Y1 - 2022

N2 - We consider a problem of assignability of the dichotomy spectrum for one-sided discrete time-varying linear systems. Our purpose is to prove that uniform complete controllability is a sufficient condition for proportional local assignability of the dichotomy spectrum.

AB - We consider a problem of assignability of the dichotomy spectrum for one-sided discrete time-varying linear systems. Our purpose is to prove that uniform complete controllability is a sufficient condition for proportional local assignability of the dichotomy spectrum.

KW - dichotomy spectrum

KW - discrete time-varying linear systems

KW - pole placement theorem

KW - uniform complete controllability

UR - https://www.scopus.com/pages/publications/85130609708

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DO - 10.1137/21M1410932

M3 - Article

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JO - SIAM Journal on Control and Optimization

JF - SIAM Journal on Control and Optimization

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ER -

PROPORTIONAL LOCAL ASSIGNABILITY OF THE DICHOTOMY SPECTRUM OF ONE-SIDED DISCRETE TIME-VARYING LINEAR SYSTEMS

Abstrakt

Obszary tematyczne ASJC Scopus

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