Nearly time optimal stabilizing patchy feedbacks
Fabio Ancona, Alberto Bressan (2007)
Annales de l'I.H.P. Analyse non linéaire
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Fabio Ancona, Alberto Bressan (2007)
Annales de l'I.H.P. Analyse non linéaire
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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...
Bacciotti, A., Ceragioli, F. (2003)
Abstract and Applied Analysis
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Xu, Yashan (2006)
Journal of Applied Mathematics and Stochastic Analysis
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Kazufumi Ito, Karl Kunisch (2002)
ESAIM: Control, Optimisation and Calculus of Variations
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The receding horizon control strategy for dynamical systems posed in infinite dimensional spaces is analysed. Its stabilising property is verified provided control Lyapunov functionals are used as terminal penalty functions. For closed loop dissipative systems the terminal penalty can be chosen as quadratic functional. Applications to the Navier–Stokes equations, semilinear wave equations and reaction diffusion systems are given.
Francis Clarke (2005)
Control and Cybernetics
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Boscain, U., Piccoli, B. (1998)
Rendiconti del Seminario Matematico
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Zhu, Jinghao, Zou, Zhiqiang (2003)
International Journal of Mathematics and Mathematical Sciences
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