On the exponential stability and instability analyses of switched second- and higher-order linear systems via a novel application of differential inequalities:part 2(Illustrations)
Y.V.Venkatesh
(Formerly)Division of Electrical Sciences,Indian Institute of Science,Sir C.V.Raman Road,Bangalore 560012,Karnataka,India;Department of Electrical and Computer Engineering,National University of Singapore,Kent Ridge Crescent,Singapore 119260,Singapore
摘要：In this second part of the paper,bearing the same title as above,but with the last hyphenated phrase replaced by part 1(Theory),the exponential stability and instability(ESI)Theorems 1-4 of part 1 are illustrated by applying them to second-andby,say,third-order linear switched systems with different eigenvalue structures to demonstrate the versatility,novelty and superiority(over many of the results found in the literature,especially for second-order switched lined systems)of the new theoretical results.The computational procedure that is employed with reference to the third-order systems is generic,in the sense that it is applicable to higher(i.e.,greater than third-)order linear switched systems.A pseudo-code for a computer implementation of the stability/instability conditions is also presented.With the principal aim of facilitating an independent reading of this part 2 of the paper,some crucial mathematical notations,definitions and results of part 1 have been repeated,thereby making the contents as self-contained as possible.
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论文发表日期：2025-12-30
在线出版日期：2026-01-09（本平台首次上网日期，不代表文献的发表时间）
页数：29( 721-749 )
英文信息