Displaying similar documents to “Patchy Vector Fields and Asymptotic Stabilization”

On the existence of nonsmooth control-Lyapunov functions in the sense of generalized gradients

Ludovic Rifford (2010)

ESAIM: Control, Optimisation and Calculus of Variations

Similarity:

Let x ˙ = f ( x , u ) be a general control system; the existence of a smooth control-Lyapunov function does not imply the existence of a continuous stabilizing feedback. However, we show that it allows us to design a stabilizing feedback in the Krasovskii (or Filippov) sense. Moreover, we recall a definition of a control-Lyapunov function in the case of a nonsmooth function; it is based on Clarke's generalized gradient. Finally, with an inedite proof we prove that the existence of this type of control-Lyapunov...

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

J.-B. Pomet (2010)

ESAIM: Control, Optimisation and Calculus of Variations

Similarity:

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 .