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

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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.

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  1. Department of Mathematics, Ben Gurion University of the Negev, Beersheba, Israel

    Avraham Feintuch

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  1. Avraham Feintuch
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Correspondence to Avraham Feintuch.

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Feintuch, A. On strong stabilization of asymptotically time-invariant linear time-varying systems. Math. Control Signals Syst. 22, 229–243 (2011). https://doi.org/10.1007/s00498-011-0057-8

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  • DOI: https://doi.org/10.1007/s00498-011-0057-8

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