Displaying similar documents to “On the existence of nonsmooth control-Lyapunov functions in the sense of generalized gradients”

Patchy Vector Fields and Asymptotic Stabilization

Fabio Ancona, Alberto Bressan (2010)

ESAIM: Control, Optimisation and Calculus of Variations

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This paper is concerned with the structure of asymptotically stabilizing feedbacks for a nonlinear control system on n . We first introduce a family of discontinuous, piecewise smooth vector fields and derive a number of properties enjoyed by solutions of the corresponding O.D.E's. We then define a class of “patchy feedbacks” which are obtained by patching together a locally finite family of smooth controls. Our main result shows that, if a system is asymptotically controllable at...

On dynamic feedback linearization of four-dimensional affine control systems with two inputs

J.-B. Pomet (2010)

ESAIM: Control, Optimisation and Calculus of Variations

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This paper considers control affine systems in λ 2 with two inputs, and gives necessary and sufficient conditions for dynamic feedback linearization of these systems with the restriction that the "linearizing outputs" must be some functions of the original state and inputs only. This also gives conditions for non-affine systems in λ 2 .