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

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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Bibliographic Details
Published in:IEEE transactions on automatic control 2022-04, Vol.67 (4), p.2039-2043
Main Authors: Babiarz, Artur, Cuong, Le Viet, Czornik, Adam, Doan, Thai Son
Format: Article
Language:English
Subjects:
Closed loop systems
Controllability
Dichotomy spectrum
Discrete time systems
discrete time-varying linear systems
Linear systems
Perturbation methods
Pole placement
pole placement theorem
Robots
Stability criteria
Time-varying systems
uniform complete controllability
uniform complete stabilization
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Description
Summary: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.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2021.3073061