On strong stabilization of asymptotically time-invariant linear time-varying systems

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10 Scopus citations

Abstract

This paper considers the strong stabilization problem: given a linear time-varying system which is stabilizable by dynamic feedback, when can the stabilizer be chosen to be itself stable? We consider here the case of algebras of discrete time, time-varying systems which are asymptotically time-invariant, in the sense that as time evolves the time-varying transfer operator converges to a time-invariant transfer operator. Convergence here is in the sense of uniform or strong convergence of sequences of operators on an appropriate Hilbert space of input-output signals.

Original languageEnglish
Pages (from-to)229-243
Number of pages15
JournalMathematics of Control, Signals, and Systems
Volume22
Issue number3
DOIs
StatePublished - 1 Apr 2011

Keywords

  • Asymptotically Toeplitz
  • Causality
  • Coprime factorizations
  • Fredholm operators
  • Stabilization
  • Stable rank
  • Time-varying linear systems

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Signal Processing
  • Control and Optimization
  • Applied Mathematics

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