Search results for "Bilinear control"

showing 2 items of 2 documents

On the Ball-Marsden-Slemrod obstruction for bilinear control systems

2019

International audience; In this paper we present an extension to the case of $L^1$-controls of a famous result by Ball--Marsden--Slemrod on the obstruction to the controllability of bilinear control systems in infinite dimensional spaces.

Discrete mathematics010102 general mathematics01 natural sciences010101 applied mathematicsControllabilityAlgebraBilinear controlOptimization and Control (math.OC)Settore MAT/05FOS: MathematicsBall (mathematics)[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]0101 mathematicsMathematics - Optimization and ControlMathematics::Symplectic GeometryMathematics
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Impulsive control of the bilinear Schrödinger equation: propagators and attainable sets

2019

International audience; We consider a linear Schrödinger equation with an unbounded bilinear control term. The control term is the derivative of function with bounded variations (impulsive control). Well-posedness results and regularity of the associated propagators follow from classical theory from Kato. As a byproduct, one obtains a topological obstruction to exact controllability of the system in the spirit of the results of Ball, Marsden and Slemrod.

Classical theoryPropagatorBilinear interpolationSchrödinger equationControllabilitysymbols.namesakeBilinear controlBounded functionSettore MAT/05symbolsApplied mathematicsBall (mathematics)[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]Mathematics
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