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

Rendiconti del Seminario Matematico della Università di Padova (1985)

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

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topDe 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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- [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] 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] 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] J.L. Lions, Optimal control of systems governed by partial differential equations, Springer-Verlag, 1971. Zbl0203.09001MR271512
- [11] R.K. Miller, Volterra integral equations in a Banach space, Funkcial Ekvac., 18 (1975), pp. 163-193. Zbl0326.45007MR410312
- [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] 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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