Abstract
The objective of this paper is to study in detail stabilizability and stable-proper factorizations for linear time-varying discrete-time systems. Our main results are: (i) If a linear-time-varying system can be stabilized by dynamic state feedback, then it can also be stabilized by memoryless state feedback. (ii) A complete characterization of the existence of stable-proper factorizations for linear time-varying input/output operators. This characterization is nontrivial; there exist input/output operators that do not admit stable-proper factorizations.
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