Sufficient conditions for assignability of nonuniform dichotomy spectrum of discrete time-varying linear systems

Autor:	Babiarz, Artur, Czornik, Adam, Siegmund, Stefan
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	Zeitdiskrete variierende Systeme Dichotomie Spektrum der Dichotomie Zuordnung Kontrollierbarkeit Discrete time varying systems Dichotomy Spectrum of dichotomy Assignability Controllability info:eu-repo/classification/ddc/510 ddc:510
Druh dokumentu:	Článek
ISSN:	2731-4235
DOI:	10.1186/s13662-022-03687-8
Popis:	We consider a version of the pole placement problem for tempered one sided linear discrete time time varying linear systems. We prove a sufficient condition for assignability of the nonuniform dichotomy spectrum by linear feedback. The main result is that the nonuniform dichotomy spectrum is assignable if the system is completely controllable and certain lower asymptotic bound for the controllability Gramian holds.
Databáze:	Networked Digital Library of Theses & Dissertations
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