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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
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Category: math
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MSC: 49K25
MSC: 49N60
idZBL: Zbl 0881.49018
idMR: MR1420135
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Date available: 2009-09-24T19:04:19Z
Last updated: 2012-06-06
Stable URL: http://hdl.handle.net/10338.dmlcz/124818
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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
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