Boundary controllability in problems of transmission for a class of second order hyperbolic systems

John E. Lagnese

ESAIM: Control, Optimisation and Calculus of Variations (1997)

  • Volume: 2, page 343-357
  • ISSN: 1292-8119

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Lagnese, John E.. "Boundary controllability in problems of transmission for a class of second order hyperbolic systems." ESAIM: Control, Optimisation and Calculus of Variations 2 (1997): 343-357. <http://eudml.org/doc/90512>.

@article{Lagnese1997,
author = {Lagnese, John E.},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {wave equation defined on a star-shaped domain; transmission problem; second-order linear hyperbolic systems; piecewise constant coefficients; exact controllability},
language = {eng},
pages = {343-357},
publisher = {EDP Sciences},
title = {Boundary controllability in problems of transmission for a class of second order hyperbolic systems},
url = {http://eudml.org/doc/90512},
volume = {2},
year = {1997},
}

TY - JOUR
AU - Lagnese, John E.
TI - Boundary controllability in problems of transmission for a class of second order hyperbolic systems
JO - ESAIM: Control, Optimisation and Calculus of Variations
PY - 1997
PB - EDP Sciences
VL - 2
SP - 343
EP - 357
LA - eng
KW - wave equation defined on a star-shaped domain; transmission problem; second-order linear hyperbolic systems; piecewise constant coefficients; exact controllability
UR - http://eudml.org/doc/90512
ER -

References

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  1. [1] V. Komornik: Exact Controllability and Stabilization: The Multiplier Method, Masson, Paris, 1994. Zbl0937.93003MR1359765
  2. [2] J. E. Lagnese: Boundary controllability in transmission problems for thin plates, in Differential Equations, Dynamical Systems, and Control Science, K. D. Elworthy, W. N. Everitt and E. B. Lee, Eds., Lecture Notes in Pure and Applied Mathematics, vol. 152, Marcel Dekker, New York, 1994, 641-658. Zbl0801.93012MR1243229
  3. [3] J. Lagnese, G. Leugering, G. Schmidt: Modeling, Analysis and Control of Dynamic Elastic Multi-Link Structures, Birkhäuser, Boston, 1994. Zbl0810.73004MR1279380
  4. [4] I. Lasiecka, R. Triggiani: A lifting theorem for the time regularity of solutions of abstract equations with unbounded operators and applications to hyperbolic equations, Proc. AMS 104 ( 1988), 745-755. Zbl0699.47034MR964851
  5. [5] J.-L. Lions: Contrôlabilité Exacte, Perturbations et Stabilisation de Systèmes Distribués: Tome 1, Contrôlabilité Exacte, Coll. RMA, vol. 8, Masson, Paris, 1988. Zbl0653.93002MR953547
  6. [6] S. Nicaise: Boundary exact controllability of interface problems with singularities I: addition of the coefficients of singularities, SIAM J. Control & Opt. 34 ( 1996), 1512-1532. Zbl0858.93012MR1404844
  7. [7] S. Nicaise: Boundary exact controllability of interface problems with singularities II: addition of internal controls, SIAM J. Control & Opt. 35 ( 1997), 585-603. Zbl0872.93038MR1436640
  8. [8] O. A. Oleinik, A. S. Shamaev, G. A. Yosifian: Mathematical Problems in Elasticity and Homogenization, Studies in Mathematics and Its Applications, vol. 26, North-Holland, Amsterdam, 1992. Zbl0768.73003MR1195131

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