Remarks on the relationship between stability and internal stability of nonlinear systems |
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| Authors: | Xu Wang Håvard Fjær Grip Ali Saberi Anton A. Stoorvogel Ingmar Saberi |
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| Affiliation: | 1. School of Electrical Engineering and Computer Science, Washington State University, , Pullman, WA, 99164‐2752 USA;2. Department of Electrical Engineering, Mathematics, and Computing Science, University of Twente, , 7500 AE, Enschede, The Netherlands;3. Department of Mathematics, Princeton University, , Princeton, NJ, 08544‐1000 USA |
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| Abstract: | In this paper, we investigate the relationship between  stability and internal stability of nonlinear systems. It is shown that under certain conditions,  stability implies attractivity of the equilibrium and that local  stability with finite gain implies local asymptotic stability of the origin. Copyright © 2012 John Wiley & Sons, Ltd. |
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| Keywords: | stability internal stability nonlinear system |
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