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Necessary and Sufficient Conditions for Assignability of Dichotomy Spectrum of One-Sided Discrete Time-Varying Linear Systems

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We consider a version of the pole placement problem for one-sided linear discrete time-varying linear systems. Our purpose is to prove that uniform complete controllability is equivalent to possibility of… Click to show full abstract

We consider a version of the pole placement problem for one-sided linear discrete time-varying linear systems. Our purpose is to prove that uniform complete controllability is equivalent to possibility of arbitrary assignment of the dichotomy spectrum.

Keywords: discrete time; one sided; dichotomy spectrum; time varying; varying linear; linear systems

Journal Title: IEEE Transactions on Automatic Control
Year Published: 2022

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