Optimal initial functions of retarded control systems

Jong Yeoul Park; Jin-Mun Jeong; Young Chel Kwun

Kybernetika (1996)

  • Volume: 32, Issue: 5, page 455-464
  • ISSN: 0023-5954

How to cite

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Park, Jong Yeoul, Jeong, Jin-Mun, and Kwun, Young Chel. "Optimal initial functions of retarded control systems." Kybernetika 32.5 (1996): 455-464. <http://eudml.org/doc/27973>.

@article{Park1996,
author = {Park, Jong Yeoul, Jeong, Jin-Mun, Kwun, Young Chel},
journal = {Kybernetika},
keywords = {functional differential equations with time delay; initial functions; retarded functional equations; retarded system; necessary optimality condition; optimal solution},
language = {eng},
number = {5},
pages = {455-464},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Optimal initial functions of retarded control systems},
url = {http://eudml.org/doc/27973},
volume = {32},
year = {1996},
}

TY - JOUR
AU - Park, Jong Yeoul
AU - Jeong, Jin-Mun
AU - Kwun, Young Chel
TI - Optimal initial functions of retarded control systems
JO - Kybernetika
PY - 1996
PB - Institute of Information Theory and Automation AS CR
VL - 32
IS - 5
SP - 455
EP - 464
LA - eng
KW - functional differential equations with time delay; initial functions; retarded functional equations; retarded system; necessary optimality condition; optimal solution
UR - http://eudml.org/doc/27973
ER -

References

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  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. (1984) MR0751340
  3. J. S. Gibson, The Riccati integral equations for optimal control problems on Hilbert spaces, SIAM J. Control Optim. 17 (1979), 4, 537-565. (1979) Zbl0411.93014MR0534423
  4. J. M. Jeong, Stabilizability of retarded functional differential equation in Hilbert space, Osaka J. Math. 28 (1991), 347-365. (1991) Zbl0755.34081MR1132170
  5. J. M. Jeong, Retarded functional differential equations with L 1 -valued controller, Funkcial. Ekvac. 36 (1993), 71-93. (1993) MR1232080
  6. J. L. Lions, Optimal Control of Systems Governed by Partial Differential Equations, Springer-Verlag, Berlin--New York 1971. (1971) Zbl0203.09001MR0271512
  7. S. Nakagiri, Structural properties of functional differential equations in Banach spaces, Osaka J. Math. 25 (1988), 353-398. (1988) Zbl0713.34069MR0957869
  8. S. Nakagiri, Optimal control of linear retarded systems in Banach space, J. Math. Anal. Appl. 120 (1986), 169-210. (1986) MR0861914
  9. T. Suzuki, M. Yamamoto, Observability, controllability, and feedback stabilizability for evolution equations I, Japan J. Appl. Math. 2 (1985), 211-228. (1985) Zbl0593.93028MR0839326
  10. H. Tanabe, Equations of Evolution, Pitman, London 1979. (1979) Zbl0417.35003MR0533824
  11. H. Tanabe, Fundamental solution of differential equation with time delay in Banach space, Funkcial. Ekvac. 35 (1992), 149-177 (1992) MR1172427

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