Asymptotic Controllability and Robust Asymptotic Stabilizability

  title={Asymptotic Controllability and Robust Asymptotic Stabilizability},
  author={Christophe Prieur},
  journal={SIAM J. Control and Optimization},
This paper deals with asymptotically controllable systems for which there exists no smooth stabilizing state feedback. To investigate the robustness asymptotic stabilization property, a new class of hybrid feedbacks (with a continuous component and a discrete one) is introduced: the hybrid patchy feedbacks. The notion of solutions is a generalization of π-solutions and Euler solutions. It is proved that the origin of all globally asymptotically controllable systems can be globally… CONTINUE READING
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