On the quadratic optimal control problem for Volterra integro-differential equations

Mimma De Acutis

Rendiconti del Seminario Matematico della Università di Padova (1985)

  • Volume: 73, page 231-247
  • ISSN: 0041-8994

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De Acutis, Mimma. "On the quadratic optimal control problem for Volterra integro-differential equations." Rendiconti del Seminario Matematico della Università di Padova 73 (1985): 231-247. <http://eudml.org/doc/107981>.

@article{DeAcutis1985,
author = {De Acutis, Mimma},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {synthesis; optimal control; feedback law},
language = {eng},
pages = {231-247},
publisher = {Seminario Matematico of the University of Padua},
title = {On the quadratic optimal control problem for Volterra integro-differential equations},
url = {http://eudml.org/doc/107981},
volume = {73},
year = {1985},
}

TY - JOUR
AU - De Acutis, Mimma
TI - On the quadratic optimal control problem for Volterra integro-differential equations
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1985
PB - Seminario Matematico of the University of Padua
VL - 73
SP - 231
EP - 247
LA - eng
KW - synthesis; optimal control; feedback law
UR - http://eudml.org/doc/107981
ER -

References

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  1. [1] H.T. Banks - A. Manitius, Projection series for retarded functional differential equations with applications to optimal control problems, Journal of Diff. Eq., 18 (1975), pp. 296-332. Zbl0331.34059MR435555
  2. [2] V. Barbu, Nonlinear Volterra integro-differential equations in Hilbert space, Sem. Mat. Bari, 143 (1976). Zbl0365.45001
  3. [3] V. Barbu - G. Da Prato, Local existence for a nonlinear operator equation arising in synthesis of Optimal Control, Numer. Funct. Anal. and Optimiz., 1(6) (1979), pp. 665-677. Zbl0445.49027MR552246
  4. [4] G. Chen - R. Grimmer, Semigroups and integral equations, J. Integral equations, 2 (1980), pp. 133-154. Zbl0449.45007MR572484
  5. [5] R.F. Curtain - A.J. Pritchard, Infinite dimensional linear systems theory, Lecture notes in Control and Information sciences, Springer, 1978. Zbl0389.93001MR516812
  6. [6] G. Da Prato - M. Iannelli, Linear abstract integro-differential equations of hyperbolic type in Hilbert spaces, Rend. Sem. Mat. Univ. Padova, 62 (1980). Zbl0451.45013MR582950
  7. [7] M. De Acutis, Asymptotic behaviour for a problem arising in the optimal control theory, Journal of Math. Anal. and Applic., 77 (1980), pp. 635-641. Zbl0451.49003MR593240
  8. [8] M.C. Delfour - S. K. MITTER, Controllability, observability and optimal feedback control of affine hereditary differential systems, SIAM J. Control, 10 (1972), pp. 298-328. Zbl0242.93011MR309587
  9. [9] R. Grimmer - R. K. MILLER, Existence, uniqueness and continuity for integral equations in a Banach space, J. Math. Anal. Appl., 57 (1977), pp. 429-447. Zbl0354.45006MR440311
  10. [10] J.L. Lions, Optimal control of systems governed by partial differential equations, Springer-Verlag, 1971. Zbl0203.09001MR271512
  11. [11] R.K. Miller, Volterra integral equations in a Banach space, Funkcial Ekvac., 18 (1975), pp. 163-193. Zbl0326.45007MR410312
  12. [12] R.K. Miller - R.L. Wheeler, Asymptotic behaviour for a linear Volterra integral equation in Hilbert space, Journal. of Diff. Equat., 23 (1977), pp. 270-284. Zbl0341.45017MR440313
  13. [13] A. Pazy, Semigroup of linear operators and applications to partial Differential equations, Department of Math. Lecture Note, Univ. of Maryland, 1974. MR512912

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