点击次数：

论文类型：期刊论文

发表时间：2011-10-01

发表刊物：SYSTEMS & CONTROL LETTERS

收录刊物：Scopus、SCIE、EI

卷号：60

期号：10

页面范围：832-839

ISSN号：0167-6911

关键字：Stability; Quadratic constraint; Completely finite; Nest algebra; Connected uncertainty set; Gap metric; Time-varying system

摘要：In this paper, we introduce the concept of "quadratic constraint" (QC) to deal with various stability problems for infinite dimensional linear discrete time-varying (LW) systems. First, we derive a necessary and sufficient condition for the close-loop stability based on quadratic constraints (QCs). An equivalent condition of this stability criterion presents the relationship between the stabilization of each finite dimensional truncation system and that of the whole system. Moreover, applying this stability criterion and the complete finiteness of the nest algebra, we show that the plant is stabilizable if and only if it has a single strong representation. Finally, we use QCs to give a necessary and sufficient condition for the robust stabilization of connected uncertainty set defined by gap metric. (C) 2011 Elsevier B.V. All rights reserved.