Necessary and Sufficient Conditions for Assignability of Dichotomy Spectrum of One-Sided Discrete Time-Varying Linear Systems

Artur Babiarz; Le Viet Cuong; Adam Czornik; Thai Son Doan

doi:10.1109/TAC.2021.3073061

Necessary and Sufficient Conditions for Assignability of Dichotomy Spectrum of One-Sided Discrete Time-Varying Linear Systems

Artur Babiarz
, Le Viet Cuong
, Adam Czornik
, Thai Son Doan

Katedra Automatyki i Robotyki (RAU/RAU3)

National University of Civil Engineering
Vietnamese Academy of Science and Technology

Wyniki badań: Wkład do czasopisma › Artykuł › recenzja

6 Cytowania z bazy Scopus

Abstrakt

We consider a version of the pole placement problem for one-sided linear discrete time-varying linear systems. Our purpose is to prove that uniform complete controllability is equivalent to possibility of arbitrary assignment of the dichotomy spectrum.

Język oryginału	angielski
Strony (od–do)	2039-2043
Liczba stron	5
Czasopismo	IEEE Transactions on Automatic Control
Tom	67
Numer wydania	4
Identyfikatory DOI	https://doi.org/10.1109/TAC.2021.3073061
Status publikacji	Opublikowano - 1 kwi 2022

Obszary tematyczne ASJC Scopus

Inżynieria sterowania i systemów
Zastosowania informatyki
Inżynieria elektryczna i elektroniczna

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10.1109/TAC.2021.3073061

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title = "Necessary and Sufficient Conditions for Assignability of Dichotomy Spectrum of One-Sided Discrete Time-Varying Linear Systems",

abstract = "We consider a version of the pole placement problem for one-sided linear discrete time-varying linear systems. Our purpose is to prove that uniform complete controllability is equivalent to possibility of arbitrary assignment of the dichotomy spectrum.",

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

author = "Artur Babiarz and Cuong, \{Le Viet\} and Adam Czornik and Doan, \{Thai Son\}",

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AU - Cuong, Le Viet

AU - Czornik, Adam

AU - Doan, Thai Son

PY - 2022/4/1

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N2 - We consider a version of the pole placement problem for one-sided linear discrete time-varying linear systems. Our purpose is to prove that uniform complete controllability is equivalent to possibility of arbitrary assignment of the dichotomy spectrum.

AB - We consider a version of the pole placement problem for one-sided linear discrete time-varying linear systems. Our purpose is to prove that uniform complete controllability is equivalent to possibility of arbitrary assignment of the dichotomy spectrum.

KW - Dichotomy spectrum

KW - discrete time-varying linear systems

KW - pole placement theorem

KW - uniform complete controllability

KW - uniform complete stabilization

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DO - 10.1109/TAC.2021.3073061

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Necessary and Sufficient Conditions for Assignability of Dichotomy Spectrum of One-Sided Discrete Time-Varying Linear Systems

Abstrakt

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