Clocks and insensitivity to small measurement errors
Eduardo D. Sontag (1999)
ESAIM: Control, Optimisation and Calculus of Variations
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Displaying similar documents to “Patchy vector fields and asymptotic stabilization”
Clocks and insensitivity to small measurement errors
On the existence of nonsmooth control-Lyapunov functions in the sense of generalized gradients
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...
Robust stabilization of nonlinear control systems by means of hybrid feedbacks.
Prieur, C. (2006)
Rendiconti del Seminario Matematico. Universitá e Politecnico di Torino
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On performance induced by feedbacks with multiple saturations
Andrew R. Teel (1996)
ESAIM: Control, Optimisation and Calculus of Variations
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Input to state stability properties of nonlinear systems and applications to bounded feedback stabilization using saturation
J. Tsinias (1997)
ESAIM: Control, Optimisation and Calculus of Variations
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Control Lyapunov functions for homogeneous “Jurdjevic-Quinn” systems
Ludovic Faubourg, Jean-Baptiste Pomet (2000)
ESAIM: Control, Optimisation and Calculus of Variations
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Direct design of robustly asymptotically stabilizing hybrid feedback
Rafal Goebel, Andrew R. Teel (2009)
ESAIM: Control, Optimisation and Calculus of Variations
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A direct construction of a stabilizing hybrid feedback that is robust to general measurement error is given for a general nonlinear control system that is asymptotically controllable to a compact set.
Feedback in state constrained optimal control
Francis H. Clarke, Ludovic Rifford, R. J. Stern (2002)
ESAIM: Control, Optimisation and Calculus of Variations
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An optimal control problem is studied, in which the state is required to remain in a compact set . A control feedback law is constructed which, for given , produces -optimal trajectories that satisfy the state constraint universally with respect to all initial conditions in . The construction relies upon a constraint removal technique which utilizes geometric properties of inner approximations of and a related trajectory tracking result. The control feedback is shown to possess...