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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Andrea Bacciotti, Francesca Ceragioli (1999)
ESAIM: Control, Optimisation and Calculus of Variations
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Ignatyev, Alexander O. (1997)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Hartmut Logemann, Ruth F. Curtain (2000)
ESAIM: Control, Optimisation and Calculus of Variations
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J. Tsinias (1997)
ESAIM: Control, Optimisation and Calculus of Variations
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Ludovic Rifford (2001)
ESAIM: Control, Optimisation and Calculus of Variations
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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...
Medina, Rigoberto (2001)
Applied Mathematics E-Notes [electronic only]
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