# A Singular Perturbation Problem in Exact Controllability of the Maxwell System

ESAIM: Control, Optimisation and Calculus of Variations (2010)

- Volume: 6, page 275-289
- ISSN: 1292-8119

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topLagnese, John E.. "A Singular Perturbation Problem in Exact Controllability of the Maxwell System." ESAIM: Control, Optimisation and Calculus of Variations 6 (2010): 275-289. <http://eudml.org/doc/197366>.

@article{Lagnese2010,

abstract = {
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 connection,
for small values of the perturbation parameter, between observability estimates for the two systems,
and between the optimality systems corresponding to the problem of norm minimum exact control of the
solutions of the two systems from the rest state to a specified terminal state.
},

author = {Lagnese, John E.},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {Maxwell system; exact controllability; singular perturbation.; singular perturbation; robustness; minimum norm control},

language = {eng},

month = {3},

pages = {275-289},

publisher = {EDP Sciences},

title = {A Singular Perturbation Problem in Exact Controllability of the Maxwell System},

url = {http://eudml.org/doc/197366},

volume = {6},

year = {2010},

}

TY - JOUR

AU - Lagnese, John E.

TI - A Singular Perturbation Problem in Exact Controllability of the Maxwell System

JO - ESAIM: Control, Optimisation and Calculus of Variations

DA - 2010/3//

PB - EDP Sciences

VL - 6

SP - 275

EP - 289

AB -
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 connection,
for small values of the perturbation parameter, between observability estimates for the two systems,
and between the optimality systems corresponding to the problem of norm minimum exact control of the
solutions of the two systems from the rest state to a specified terminal state.

LA - eng

KW - Maxwell system; exact controllability; singular perturbation.; singular perturbation; robustness; minimum norm control

UR - http://eudml.org/doc/197366

ER -

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