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

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.

Identiferoai:union.ndltd.org:DRESDEN/oai:qucosa:de:qucosa:88531
Date22 February 2024
CreatorsBabiarz, Artur, Czornik, Adam, Siegmund, Stefan
PublisherSpringer Nature
Source SetsHochschulschriftenserver (HSSS) der SLUB Dresden
LanguageEnglish
Detected LanguageEnglish
Typeinfo:eu-repo/semantics/publishedVersion, doc-type:article, info:eu-repo/semantics/article, doc-type:Text
Rightsinfo:eu-repo/semantics/openAccess
Relation2731-4235, 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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