Return method : application to controllability
J.-M. Coron (1992-1993)
Séminaire Équations aux dérivées partielles (Polytechnique)
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Displaying similar documents to “Lie brackets and real analyticity in control theory”
Return method : application to controllability
Local small time controllability and attainability of a set for nonlinear control system
Mikhail Krastanov, Marc Quincampoix (2010)
ESAIM: Control, Optimisation and Calculus of Variations
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In the present paper, we study the problem of small-time local attainability (STLA) of a closed set. For doing this, we introduce a new concept of variations of the reachable set well adapted to a given closed set and prove a new attainability result for a general dynamical system. This provide our main result for nonlinear control systems. Some applications to linear and polynomial systems are discussed and STLA necessary and sufficient conditions are obtained when the considered...
Introduction of the Theory of Systems. / I. Kupka.
I. Kupka (1991)
Ensaios Matemáticos
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A theorem on the controllability of pertubated linear control systems
Ornella Naselli Ricceri (1989)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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In this Note, applying our recent Theorem 3.1 of [7], we prove that suitable perturbations of a completely controllable linear control system, do not affect the controllability of the system.
Controllability of invariant control systems at uniform time
Víctor Ayala, José Ayala-Hoffmann, Ivan de Azevedo Tribuzy (2009)
Kybernetika
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Let be a compact and connected semisimple Lie group and an invariant control systems on . Our aim in this work is to give a new proof of Theorem 1 proved by Jurdjevic and Sussmann in [6]. Precisely, to find a positive time such that the system turns out controllable at uniform time . Our proof is different, elementary and the main argument comes directly from the definition of semisimple Lie group. The uniform time is not arbitrary. Finally, if denotes the reachable set from...
Controllability and observability of control systems under uncertainty
Jean-Pierre Aubin, Halina Frankowska (1990)
Annales Polonici Mathematici
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A theorem on the controllability of pertubated linear control systems
Ornella Naselli Ricceri (1989)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
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In this Note, applying our recent Theorem 3.1 of [7], we prove that suitable perturbations of a completely controllable linear control system, do not affect the controllability of the system.
Limitations on the control of Schrödinger equations
Reinhard Illner, Horst Lange, Holger Teismann (2006)
ESAIM: Control, Optimisation and Calculus of Variations
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We give the definitions of exact and approximate controllability for linear and nonlinear Schrödinger equations, review fundamental criteria for controllability and revisit a classical “No-go” result for evolution equations due to Ball, Marsden and Slemrod. In Section 2 we prove corresponding results on non-controllability for the linear Schrödinger equation and distributed additive control, and we show that the Hartree equation of quantum chemistry with bilinear control is...