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.
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/ |
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