Displaying similar documents to “Null controllability of the heat equation in unbounded domains by a finite measure control region”

Controllablity of a quantum particle in a 1D variable domain

Karine Beauchard (2010)

ESAIM: Control, Optimisation and Calculus of Variations

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We consider a quantum particle in a 1D infinite square potential well with variable length. It is a nonlinear control system in which the state is the wave function  of the particle and the control is the length of the potential well. We prove the following controllability result : given φ 0 close enough to an eigenstate corresponding to the length and φ f close enough to another eigenstate corresponding to the length , there exists a continuous function l : [ 0 , T ] → ℝ + * with , such that and , and...

Control Norms for Large Control Times

Sergei Ivanov (2010)

ESAIM: Control, Optimisation and Calculus of Variations

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A control system of the second order in time with control u = u ( t ) ∈ L 2 ( [ 0 , T ] ; U ) is considered. If the system is controllable in a strong sense and is the control steering the system to the rest at time , then the –norm of decreases as 1 / T while the L 1 ( [ 0 , T ] ; U ) –norm of is approximately constant. The proof is based on the moment approach and properties of the relevant exponential family. Results are applied to the wave equation with boundary or distributed controls.