| ASYMPTOTIC SIMILARITY OF INFINITE-DIMENSIONAL LINEAR SYSTEMS AND APPLICATIONS TO STABILITY |
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| 作者姓名： | WU Jingbo |
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| 作者单位： | Department of Computer and Systems Science，Nankai University，Tiaujin 300071，China |
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| 摘 要： | 1.IntroductionInfinite-dimensionallinearsystemstheory,itiseasytoverifythatthespectrumandtheexponentialgroWthboundarepreservedunderasimilaritytransformation.ThispropertyisaIsosatisfiedfortheinfinite-dimensionalcaseifthesimilarityoperatorisboundedandbound-edlyinvertible.Inthisnote,weilltroduceageneralizationoftheconceptofsimilaritycalledasymptoticsimila-rityforindnite-dimensionallinearsystems.Inthefinite-dimensionalcase1similarityandasymptoticsimilarityareequivalellt.Weshowthatthisasymptoticsi…
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ASYMPTOTIC SIMILARITY OF INFINITE-DIMENSIONAL LINEAR SYSTEMS AND APPLICATIONS TO STABILITY |
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| WU Jingbo.ASYMPTOTIC SIMILARITY OF INFINITE-DIMENSIONAL LINEAR SYSTEMS AND APPLICATIONS TO STABILITY[J].Journal of Systems Science and Complexity,2000(3). |
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| Authors: | WU Jingbo |
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| Abstract: | In this note a generalization of the concept of similarity called asymptotic similarity for infinite-dimensional linear systems is introduced. We show that this asymptotic similarity preserves the spectrum and the exponential growth bound. |
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| Keywords: | Similarity infinite-dimensional linear systems spectrum stability |
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