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

Department of Automatic Control and Robotics (RAU/RAU3)

National University of Civil Engineering
Vietnamese Academy of Science and Technology

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

6 Citations (Scopus)

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.

Original language	English
Pages (from-to)	2039-2043
Number of pages	5
Journal	IEEE Transactions on Automatic Control
Volume	67
Issue number	4
DOIs	https://doi.org/10.1109/TAC.2021.3073061
Publication status	Published - 1 Apr 2022

Keywords

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

ASJC Scopus subject areas

Control and Systems Engineering
Computer Science Applications
Electrical and Electronic Engineering

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10.1109/TAC.2021.3073061

Cite this

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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 - Doan, Thai Son

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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.

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KW - discrete time-varying linear systems

KW - pole placement theorem

KW - uniform complete controllability

KW - uniform complete stabilization

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

Abstract

Keywords

ASJC Scopus subject areas

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