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# Patchy Vector Fields and Asymptotic Stabilization

Esaim-control Optimisation and Calculus of Variations, (1999): 445-471

This paper is concerned with the structure of asymptotically stabilizing feedbacks for a nonlinear control system on R n . We rst introduce a family of discontinuous, piecewise smooth vector elds and derive a number of properties enjoyed by solutions of the corresponding O.D.E's. We then dene a class of \patchy feedbacks" which are obtain...更多

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