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Article Dans Une Revue Automatica Année : 2009

Smooth patchy control Lyapunov functions

Résumé

A smooth patchy control Lyapunov function for a nonlinear system consists of an ordered family of smooth local control Lyapunov functions, whose open domains form a locally finite cover of the state space of the system, and which satisfy certain further increase or decrease conditions. We prove that such a control Lyapunov function exists for any asymptotically controllable nonlinear system. We also show a construction, based on such a control Lyapunov function, of a stabilizing hybrid feedback that is robust to measurement noise.
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Dates et versions

hal-00965325 , version 1 (25-03-2014)

Identifiants

  • HAL Id : hal-00965325 , version 1

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Rafal Goebel, Christophe Prieur, Andrew Teel. Smooth patchy control Lyapunov functions. Automatica, 2009, 45 (3), pp.675-683. ⟨hal-00965325⟩
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