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

Research output: Contribution to journal › Research article › Contributed › peer-review

Contributors

  • Artur Babiarz - , Silesian University of Technology (Author)
  • Adam Czornik - , Silesian University of Technology (Author)
  • Stefan Siegmund - , Chair of Dynamics and Control, TUD Dresden University of Technology (Author)

Abstract

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.

Details

Original languageEnglish
Article number20
Number of pages44
JournalAdvances in Continuous and Discrete Models
Volume2022
Issue number1
Publication statusPublished - 4 Mar 2022
Peer-reviewedYes

External IDs

ORCID /0000-0003-0967-6747/work/172084902

Keywords

ASJC Scopus subject areas

Keywords

  • Assignability, Controllability, Dichotomy, Discrete time-varying systems, Spectrum of dichotomy

Library keywords