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

Description

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.

Links & Downloads

1. urn:nbn:de:bsz:14-qucosa2-885314
2. https://tud.qucosa.de/id/qucosa%3A88531
3. https://tud.qucosa.de/api/qucosa%3A88531/attachment/ATT-0/

Tags

info:eu-repo/classification/ddc/510

ddc:510

Additional Fields

Identifer	oai:union.ndltd.org:DRESDEN/oai:qucosa:de:qucosa:88531
Date	22 February 2024
Creators	Babiarz, Artur, Czornik, Adam, Siegmund, Stefan
Publisher	Springer Nature
Source Sets	Hochschulschriftenserver (HSSS) der SLUB Dresden
Language	English
Detected Language	English
Type	info:eu-repo/semantics/publishedVersion, doc-type:article, info:eu-repo/semantics/article, doc-type:Text
Rights	info:eu-repo/semantics/openAccess
Relation	2731-4235, 20, 10.1186/s13662-022-03687-8, info:eu-repo/grantAgreement/Polish National Agency for Academic Exchange/Bekker NAWA/PPN/BEK/2020/1/00188/