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Theses

Stabilization under local and global constraints

Abstract : This theses concerns hybrid systems and small gain theorems. More precisely, firstly we computed hybrid stabilizers for nonlinear control systems for which the backstepping techniques do not apply, and we succeeded to combine local feedback laws and global controllers stabilizing a set "close" to the origin. The second contribution is on small gains theorem, by dealing with systems for which small gains conditions are satisfied only regionally. We were able to combine such region-dependent small-gain conditions for the global asymptotic stability and for the almost global asymptotic stability.
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https://tel.archives-ouvertes.fr/tel-01023554
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Submitted on : Thursday, May 19, 2016 - 4:31:54 PM
Last modification on : Thursday, July 9, 2020 - 5:02:02 PM

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42310_STEIN_SHIROMOTO.pdf
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  • HAL Id : tel-01023554, version 3

Citation

Humberto Stein Shiromoto. Stabilization under local and global constraints. Signal and Image processing. Université de Grenoble, 2014. English. ⟨NNT : 2014GRENT017⟩. ⟨tel-01023554v3⟩

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