| Title:
|
Optimum damping design for an abstract wave equation (English) |
| Author:
|
Fahroo, Fariba |
| Author:
|
Ito, Kazufumi |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
32 |
| Issue:
|
6 |
| Year:
|
1996 |
| Pages:
|
557-574 |
| . |
| Category:
|
math |
| . |
| MSC:
|
93C20 |
| MSC:
|
93D15 |
| MSC:
|
93D21 |
| idZBL:
|
Zbl 1043.93544 |
| idMR:
|
MR1438105 |
| . |
| Date available:
|
2009-09-24T19:05:36Z |
| Last updated:
|
2012-06-06 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125368 |
| . |
| Reference:
|
[1] H. T. Banks, F. Fahroo: Legendre-Tau approximations for LQR feedback control of acoustic pressure fields.J. Math. Systems Estimation Control 5 (1995), 2, 271-274. MR 1646277 |
| Reference:
|
[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. MR 0941397 |
| Reference:
|
[3] G. Chen: A note on the boundary stabilization of the wave equation.SIAM J. Control Optim. 19 (1981), 106-113. Zbl 0461.93036, MR 0603083 |
| Reference:
|
[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. MR 1089141 |
| Reference:
|
[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. MR 1061353 |
| Reference:
|
[6] G. Chen, J. Zhou: Vibration and Damping in Distributed Parameter Systems. Vol 1.CRC Press, Boca Raton, Fl 1993. |
| Reference:
|
[7] R. Datko: Extending a theorem of A. M. Liapunov to Hilbert space.J. Math. Anal. Appl. 32 (1970), 610-616. Zbl 0211.16802, MR 0268717 |
| Reference:
|
[8] I. Ekeland, R. Temam: Convex Analysis and Variational Problems.North Holland, Amsterdam 1976. Zbl 0322.90046, MR 0463994 |
| Reference:
|
[9] F. Fahroo, K. Ito: Variational formulation of optimal damping designs.In preparation. Zbl 0931.49019 |
| Reference:
|
[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. |
| Reference:
|
[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. MR 0719445 |
| Reference:
|
[12] A. Pazy: Semigroups of Linear Operators and Applications to Partial Differential Equations.Springer-Verlag, New York 1983. Zbl 0516.47023, MR 0710486 |
| Reference:
|
[13] R. Triggiani: On the stabilizability problem in Banach space.J. Math. Anal. Appl. 52 (1975), 383-403. Zbl 0326.93023, MR 0445388 |
| . |
