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Article Dans Une Revue SIAM Journal on Control and Optimization Année : 2010

About the Existence of Locally Lipschitz Output Feedback Stabilizers for Nonlinear Systems

Résumé

In this paper we complement some results of [L. Marconi, L. Praly, and A. Isidori, SIAM J. Control Optim., 45 (2007), pp. 2277–2298] by presenting a sufficient condition under which the output feedback controller proposed in that paper can be designed to be locally Lipschitz. The condition in question consists in a regularity property of the observable part of an autonomous system with output that generates the control input in a steady state. The work has been deliberately written to be an addendum to [L. Marconi, L. Praly, and A. Isidori, SIAM J. Control Optim., 45 (2007), pp. 2277–2298], to which the reader is referred for notation and main results.
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Dates et versions

hal-00480967 , version 1 (05-05-2010)

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Alberto Isidori, Laurent Praly, Lorenzo Marconi. About the Existence of Locally Lipschitz Output Feedback Stabilizers for Nonlinear Systems. SIAM Journal on Control and Optimization, 2010, 48 (5), pp.3389-3402. ⟨10.1137/080741677⟩. ⟨hal-00480967⟩
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