# Convergence of optimal solutions in control problems for hyperbolic equations

Annales Polonici Mathematici (1995)

- Volume: 62, Issue: 2, page 111-121
- ISSN: 0066-2216

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topS. Migórski. "Convergence of optimal solutions in control problems for hyperbolic equations." Annales Polonici Mathematici 62.2 (1995): 111-121. <http://eudml.org/doc/262808>.

@article{S1995,

abstract = {A sequence of optimal control problems for systems governed by linear hyperbolic equations with the nonhomogeneous Neumann boundary conditions is considered. The integral cost functionals and the differential operators in the equations depend on the parameter k. We deal with the limit behaviour, as k → ∞, of the sequence of optimal solutions using the notions of G- and Γ-convergences. The conditions under which this sequence converges to an optimal solution for the limit problem are given.},

author = {S. Migórski},

journal = {Annales Polonici Mathematici},

keywords = {control problem; hyperbolic equation; G-convergence; Γ-convergence; -convergence; gamma convergence; -convergence; optimal control problems; hyperbolic state equations},

language = {eng},

number = {2},

pages = {111-121},

title = {Convergence of optimal solutions in control problems for hyperbolic equations},

url = {http://eudml.org/doc/262808},

volume = {62},

year = {1995},

}

TY - JOUR

AU - S. Migórski

TI - Convergence of optimal solutions in control problems for hyperbolic equations

JO - Annales Polonici Mathematici

PY - 1995

VL - 62

IS - 2

SP - 111

EP - 121

AB - A sequence of optimal control problems for systems governed by linear hyperbolic equations with the nonhomogeneous Neumann boundary conditions is considered. The integral cost functionals and the differential operators in the equations depend on the parameter k. We deal with the limit behaviour, as k → ∞, of the sequence of optimal solutions using the notions of G- and Γ-convergences. The conditions under which this sequence converges to an optimal solution for the limit problem are given.

LA - eng

KW - control problem; hyperbolic equation; G-convergence; Γ-convergence; -convergence; gamma convergence; -convergence; optimal control problems; hyperbolic state equations

UR - http://eudml.org/doc/262808

ER -

## References

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