Stability and stabilization of discontinuous systems and nonsmooth Lyapunov functions
Andrea Bacciotti, Francesca Ceragioli (1999)
ESAIM: Control, Optimisation and Calculus of Variations
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Displaying similar documents to “A smooth Lyapunov function from a class- estimate involving two positive semidefinite functions”
Stability and stabilization of discontinuous systems and nonsmooth Lyapunov functions
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Let 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...
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