The linear-quadratic optimal control problem for delay differential equations

Gabriella Di Blasio

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (1981)

  • Volume: 71, Issue: 6, page 156-161
  • ISSN: 1120-6330

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Di Blasio, Gabriella. "The linear-quadratic optimal control problem for delay differential equations." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 71.6 (1981): 156-161. <http://eudml.org/doc/287007>.

@article{DiBlasio1981,
author = {Di Blasio, Gabriella},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {delay partial differential equation; linear-quadratic control},
language = {eng},
month = {12},
number = {6},
pages = {156-161},
publisher = {Accademia Nazionale dei Lincei},
title = {The linear-quadratic optimal control problem for delay differential equations},
url = {http://eudml.org/doc/287007},
volume = {71},
year = {1981},
}

TY - JOUR
AU - Di Blasio, Gabriella
TI - The linear-quadratic optimal control problem for delay differential equations
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1981/12//
PB - Accademia Nazionale dei Lincei
VL - 71
IS - 6
SP - 156
EP - 161
LA - eng
KW - delay partial differential equation; linear-quadratic control
UR - http://eudml.org/doc/287007
ER -

References

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  1. Ardito, A. and Ricciardi, P. (1980) - Existence and regularity for linear delay partial differential equations. «Nonlinear Analysis, T.M.A.», 4, 411-414. Zbl0433.35066MR563819DOI10.1016/0362-546X(80)90064-4
  2. Da Prato, G. (1978) - Some remarks on an operational time dependent equation. «Rend. Sem. Mat. Univ. Padova», 59, 247-262. Zbl0437.47042
  3. Da Prato, G. (1980) - Synthesis of optimal control. «Tech. Rep. Arlington, U.T.A.». 
  4. Da Prato, G. and Grisvard, P. (1975) - Sommes d'opérateurs linéaires et équations différentielles opérationelles. «J. Mat. pures et appl.», 54, 305-387. Zbl0315.47009
  5. Delfour, M.C. (1977) - The linear quadratic optimal control problem for hereditary differential systems: theory and numerical solution. «Appl. Math. and Optimiz.», 3, 101-162. Zbl0404.49010
  6. Delfour, M.C. and Mitter, S.K. (1972) - Hereditary differential systems with constant delay. (I). General case. «J. Diff. Eq.», 12, 213-235. Zbl0242.34055
  7. Lions, J.L. and Magenes, E. (1968) - Problèmes aux limites non homogènes et applications. I, Dunod, Paris. Zbl0165.10801
  8. Lions, J.L. and Peetre, J. (1964) - Sur une classe d'espaces d'interpolation. «Publ. I.H.E.S.», 19, 5-68. 
  9. Travis, C.C. and Webb, G.F. (1976) - Partial differential equations with deviating arguments in the time variable. «J. Math. Anal. Appl.», 56, 397-409. Zbl0349.35071

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