Title:
|
Optimal initial functions of retarded control systems (English) |
Author:
|
Park, J.-Y. |
Author:
|
Jeong, J.-M. |
Author:
|
Kwun, Y.-C. |
Language:
|
English |
Journal:
|
Kybernetika |
ISSN:
|
0023-5954 |
Volume:
|
32 |
Issue:
|
5 |
Year:
|
1996 |
Pages:
|
455-464 |
. |
Category:
|
math |
. |
MSC:
|
49K25 |
MSC:
|
49N60 |
idZBL:
|
Zbl 0881.49018 |
idMR:
|
MR1420135 |
. |
Date available:
|
2009-09-24T19:04:19Z |
Last updated:
|
2012-06-06 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/124818 |
. |
Reference:
|
[1] G. Da Prato, L. Lunardi: Stabilizability of integrodifferential parabolic equations.J. Integral Equations 2 (1990), 2, 281-304. Zbl 0697.45007, MR 1045774 |
Reference:
|
[2] G. Di Blasio K. Kunisch, E. Sinestrari: $L^2$-regularity for parabolic partial integrodifferential equations with delay in the highest-order derivative.J. Math. Anal. Appl. 102 (1984), 38-57. MR 0751340 |
Reference:
|
[3] J. S. Gibson: The Riccati integral equations for optimal control problems on Hilbert spaces.SIAM J. Control Optim. 17 (1979), 4, 537-565. Zbl 0411.93014, MR 0534423 |
Reference:
|
[4] J. M. Jeong: Stabilizability of retarded functional differential equation in Hilbert space.Osaka J. Math. 28 (1991), 347-365. Zbl 0755.34081, MR 1132170 |
Reference:
|
[5] J. M. Jeong: Retarded functional differential equations with $L^1$-valued controller.Funkcial. Ekvac. 36 (1993), 71-93. MR 1232080 |
Reference:
|
[6] J. L. Lions: Optimal Control of Systems Governed by Partial Differential Equations.Springer-Verlag, Berlin--New York 1971. Zbl 0203.09001, MR 0271512 |
Reference:
|
[7] S. Nakagiri: Structural properties of functional differential equations in Banach spaces.Osaka J. Math. 25 (1988), 353-398. Zbl 0713.34069, MR 0957869 |
Reference:
|
[8] S. Nakagiri: Optimal control of linear retarded systems in Banach space.J. Math. Anal. Appl. 120 (1986), 169-210. MR 0861914 |
Reference:
|
[9] T. Suzuki, M. Yamamoto: Observability, controllability, and feedback stabilizability for evolution equations I.Japan J. Appl. Math. 2 (1985), 211-228. Zbl 0593.93028, MR 0839326 |
Reference:
|
[10] H. Tanabe: Equations of Evolution.Pitman, London 1979. Zbl 0417.35003, MR 0533824 |
Reference:
|
[11] H. Tanabe: Fundamental solution of differential equation with time delay in Banach space.Funkcial. Ekvac. 35 (1992), 149-177 MR 1172427 |
. |