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

被引：0
作者：
Avraham Feintuch
机构：
[1] Ben Gurion University of the Negev,Department of Mathematics
来源：
Mathematics of Control, Signals, and Systems | 2011年 / 22卷
关键词：
Time-varying linear systems; Coprime factorizations; Stabilization; Causality; Asymptotically Toeplitz; Stable rank; Fredholm operators;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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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页码：229 / 243
页数：14
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