Control norms for large control times
Sergei Ivanov (1999)
ESAIM: Control, Optimisation and Calculus of Variations
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Displaying similar documents to “Preface”
Control norms for large control times
Return method : application to controllability
J.-M. Coron (1992-1993)
Séminaire Équations aux dérivées partielles (Polytechnique)
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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.
Global non-negative controllability of the semilinear parabolic equation governed by bilinear control
Alexander Y. Khapalov (2002)
ESAIM: Control, Optimisation and Calculus of Variations
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We study the global approximate controllability of the one dimensional semilinear convection-diffusion-reaction equation governed in a bounded domain via the coefficient (bilinear control) in the additive reaction term. Clearly, even in the linear case, due to the maximum principle, such system is not globally or locally controllable in any reasonable linear space. It is also well known that for the superlinear terms admitting a power growth at infinity the global approximate controllability...
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.
Interior point control and observation for the wave equation.
Khapalov, A.Y. (1996)
Abstract and Applied Analysis
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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...
A singular perturbation problem in exact controllability of the Maxwell system
John E. Lagnese (2001)
ESAIM: Control, Optimisation and Calculus of Variations
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This paper studies the exact controllability of the Maxwell system in a bounded domain, controlled by a current flowing tangentially in the boundary of the region, as well as the exact controllability the same problem but perturbed by a dissipative term multiplied by a small parameter in the boundary condition. This boundary perturbation improves the regularity of the problem and is therefore a singular perturbation of the original problem. The purpose of the paper is to examine the...