Two global stabilizability results for homogeneous systems from a local stabilizability assumption

Abstract : In this technical note, two problems have been investigated. The first one concerns the global asymptotic feedback stabilization of homogeneous systems. For these systems, it is shown that local asymptotic stabilization implies the global dynamic feedback stabilization one. The second problem consists to show that under a weak assumption on the observability, if a state affine system is locally asymptotically stabilizable then it becomes globally asymptotically stabilizable by using a discontinuous output feedback.
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IEEE Transactions on Automatic Control, Institute of Electrical and Electronics Engineers, 2009, 54 (9), pp.2239-2244. 〈10.1109/TAC.2009.2026853〉
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https://hal.archives-ouvertes.fr/hal-00433119
Contributeur : Hassan Hammouri <>
Soumis le : mercredi 18 novembre 2009 - 11:28:22
Dernière modification le : jeudi 19 avril 2018 - 14:34:08

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Hassan Hammouri, Jean-Claude Marques. Two global stabilizability results for homogeneous systems from a local stabilizability assumption. IEEE Transactions on Automatic Control, Institute of Electrical and Electronics Engineers, 2009, 54 (9), pp.2239-2244. 〈10.1109/TAC.2009.2026853〉. 〈hal-00433119〉

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