A Riccati equation arising in a boundary control problem for distributed parameters

Franco Flandoli

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (1982)

  • Volume: 72, Issue: 3, page 133-136
  • ISSN: 1120-6330

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Flandoli, Franco. "A Riccati equation arising in a boundary control problem for distributed parameters." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 72.3 (1982): 133-136. <http://eudml.org/doc/287012>.

@article{Flandoli1982,
author = {Flandoli, Franco},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {infinite dimensional Riccati equation; boundary-distributed control; quadratic cost criterion},
language = {eng},
month = {3},
number = {3},
pages = {133-136},
publisher = {Accademia Nazionale dei Lincei},
title = {A Riccati equation arising in a boundary control problem for distributed parameters},
url = {http://eudml.org/doc/287012},
volume = {72},
year = {1982},
}

TY - JOUR
AU - Flandoli, Franco
TI - A Riccati equation arising in a boundary control problem for distributed parameters
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1982/3//
PB - Accademia Nazionale dei Lincei
VL - 72
IS - 3
SP - 133
EP - 136
LA - eng
KW - infinite dimensional Riccati equation; boundary-distributed control; quadratic cost criterion
UR - http://eudml.org/doc/287012
ER -

References

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  1. Yosida, K. (1966) - Functional analysis, Springer. 
  2. Da Prato, G. (1973) - Quelques résultats d'existence, unicité et régularité pour un problème de la théorie du controle. «J. Math. Pure et Appliquées», 52. 
  3. Balakrishnan, A.V. (1976) - Filtering and control problems for partial differential equations, «Proc. 2nd Princeton Conf. on Diff. Games and Control Theory». 
  4. Lions, J.L. and Magenes, E. (1972) - Non-homogeneous boundary value problems and applications, 1, Springer. Zbl0223.35039
  5. Fattorini, H.O. (1968) - Boundary control systems, «Siam J. Control», 6. Zbl0164.10902
  6. Barbu, V. (1980) - Boundary control problems with convex cost criterion, «Siam J. Control», 18. Zbl0428.49015
  7. Lions, J.L. (1971) - Optimal control of problems governed by partial differential equation, Springer. Zbl0203.09001

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