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

Department of Automatic Control and Robotics (RAU/RAU3)

Le Quy Don Technical University
Vietnamese Academy of Science and Technology

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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.

Original language	English
Pages (from-to)	1294-1319
Number of pages	26
Journal	SIAM Journal on Control and Optimization
Volume	60
Issue number	3
DOIs	https://doi.org/10.1137/21M1410932
Publication status	Published - 2022

Keywords

dichotomy spectrum
discrete time-varying linear systems
pole placement theorem
uniform complete controllability

ASJC Scopus subject areas

Control and Optimization
Applied Mathematics

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10.1137/21M1410932

Cite this

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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",

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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

U2 - 10.1137/21M1410932

DO - 10.1137/21M1410932

M3 - Article

AN - SCOPUS:85130609708

SN - 0363-0129

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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

Abstract

Keywords

ASJC Scopus subject areas

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