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The relationship between gap metric and time-varying gap metric for linear time-varying systems

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Indexed by:期刊论文

Date of Publication:2013-01-01

Journal:International Journal of Innovative Computing, Information and Control

Included Journals:EI、Scopus

Volume:9

Issue:5

Page Number:2125-2141

ISSN No.:13494198

Abstract:This paper is concerned with the relationship between the gap metric and the time-varying gap metric for linear time-varying systems in the feedback configuration. It is shown that these two kinds of gaps are identical to each other when we measure the distance between corresponding graphs of a plant and a controller in a feedback system. This result supplies a simple way for computing the supremum appearing in the definition of the time-varying gap. Furthermore, the developed criteria are also applied to compute the optimal minimal angles of stabilizable linear time-varying systems. ? 2013 ICIC International.

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