Optimum damping design for an abstract wave equation

Fariba Fahroo; Kazufumi Ito

Kybernetika (1996)

  • Volume: 32, Issue: 6, page 557-574
  • ISSN: 0023-5954

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Fahroo, Fariba, and Ito, Kazufumi. "Optimum damping design for an abstract wave equation." Kybernetika 32.6 (1996): 557-574. <http://eudml.org/doc/28523>.

@article{Fahroo1996,
author = {Fahroo, Fariba, Ito, Kazufumi},
journal = {Kybernetika},
language = {eng},
number = {6},
pages = {557-574},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Optimum damping design for an abstract wave equation},
url = {http://eudml.org/doc/28523},
volume = {32},
year = {1996},
}

TY - JOUR
AU - Fahroo, Fariba
AU - Ito, Kazufumi
TI - Optimum damping design for an abstract wave equation
JO - Kybernetika
PY - 1996
PB - Institute of Information Theory and Automation AS CR
VL - 32
IS - 6
SP - 557
EP - 574
LA - eng
UR - http://eudml.org/doc/28523
ER -

References

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  2. H. T. Banks, K. Ito, A unified framework for approximations in inverse problems for distributed parameter systems, Control Theory Adv. Tech. 4 (1988), 73-90. (1988) MR0941397
  3. G. Chen, A note on the boundary stabilization of the wave equation, SIAM J. Control Optim. 19 (1981), 106-113. (1981) Zbl0461.93036MR0603083
  4. G. Chen S. A. Fulling F. J. Narcowich, S. Sun, Exponential decay of energy of evolution equations with locally distributed damping, SIAM J. Appl. Math. 51 (1991), 266-301. (1991) MR1089141
  5. G. Chen S. A. Fulling F. J. Narcowich, C. Qi, An average asymptotic decay rate for the wave equation with variable coefficient viscous damping, SIAM J. Appl. Math. 49 (1990), 1341-1347. (1990) MR1061353
  6. G. Chen, J. Zhou, Vibration and Damping in Distributed Parameter Systems. Vol 1, CRC Press, Boca Raton, Fl 1993. (1993) 
  7. R. Datko, Extending a theorem of A. M. Liapunov to Hilbert space, J. Math. Anal. Appl. 32 (1970), 610-616. (1970) Zbl0211.16802MR0268717
  8. I. Ekeland, R. Temam, Convex Analysis and Variational Problems, North Holland, Amsterdam 1976. (1976) Zbl0322.90046MR0463994
  9. F. Fahroo, K. Ito, Variational formulation of optimal damping designs, In preparation. Zbl0931.49019
  10. K. Ito, The application of Legendre-Tau approximations to parameter identification for delay and partial differential equations, In: Proc. 22nd IEEE Conf. on Decision and Control, December 1983, pp. 33-37. (1983) 
  11. J. E. Lagnese, Decay of solutions of the wave equation in a bounded region with boundary dissipation, J. Differential Equations 50 (1983), 163-182. (1983) MR0719445
  12. A. Pazy, Semigroups of Linear Operators and Applications to Partial Differential Equations, Springer-Verlag, New York 1983. (1983) Zbl0516.47023MR0710486
  13. R. Triggiani, On the stabilizability problem in Banach space, J. Math. Anal. Appl. 52 (1975), 383-403. (1975) Zbl0326.93023MR0445388

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