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A link between input-output stability and Lyapunov stability |
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| Authors: | V. Fromion S. Monaco D. Normand-Cyrot |
| Affiliation: | a6 rue Marin Le Meslée, 92160 Antony, France;bDipartimento di Informatica e Sistemistica, Università di Roma, “La Spienza”, Via Eudossiana 18, 00184 Rome, Italy;cLaboratoire des Signaux &; Systèmes, CNRS-Supélec, Plateau de Moulon, 91192 Gif-sur-Yvette, France |
| Abstract: | It is shown that incremental boundedness of an input-output operator ensures global asymptotic stability of any motion. A reciprocal statement is set. |
| Keywords: | Incremental boundedness Lyapunov stability |
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