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Constrained control problems with convex cost in Hilbert space. (English) Zbl 0343.49010

MSC:
49K99Optimality conditions
49K20Optimal control problems with PDE (optimality conditions)
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Full Text: DOI
References:
[1] Banks, H. T.; Jacobs, M. Q.: An attainable sets approach to optimal control of functional differential equations with function space terminal conditions. J. differential eqs. 14, 127-149 (1973) · Zbl 0256.49044
[2] Banks, H. T.; Kent, G. A.: Control of functional differential equations of retarded type and neutral type to target sets in function space. SIAM J. Control 10, 567-594 (1972) · Zbl 0266.49014
[3] Barbu, V.: Convex control problems of bolza in hibert space. SIAM J. Control 13, 3 (1975) · Zbl 0301.49003
[4] Barbu, V.: On convex control problems of bolza in Hilbert space. SIAM J. Control 13, 4 (1975) · Zbl 0301.49003
[5] V. Barbu, Convex control problems for linear differential systems of retarded type, to appear. · Zbl 0358.49007
[6] Brezis, H.: Opérateurs maximaux monotones et semigroupes de contraction dans LES espaces de Hilbert. Math. studies 5 (1973)
[7] Datko, R.: A linear control problem in an abstract Hilbert space. J. differential eqs. 9, 346-359 (1971) · Zbl 0218.93011
[8] Datko, R.: Unconstrained control problems with quadratic cost. SIAM control J. 11, 32-52 (1973) · Zbl 0254.49023
[9] Delfour, M. -C; Mitter, S. K.: Controlability, observability and optimal feedback control of affine hereditary differential systems. SIAM J. Control 10, 298-328 (1972) · Zbl 0242.93011
[10] Hale, J. K.: Functional differential equations. (1971) · Zbl 0222.34003
[11] Halanay, A.: On a boundary-value problem for linear systems with time-lag. J. differential eqs. 2, 47-56 (1966) · Zbl 0142.06104
[12] Lions, J. L.: Contrôle optimal de systèmes gouvernés par des équations aux dérivées partielles. (1968) · Zbl 0179.41801
[13] Rockafellar, R. T.: Convex analysis. (1970) · Zbl 0193.18401
[14] Rockafellar, R. T.: Saddle-points and convex analysis. Differential games and related topics (1971) · Zbl 0242.90044
[15] Rockafellar, R. T.: Conjugate convex functions in optimal control and the calculus of variations. J. math. Anal. appl. 32, 174-222 (1970) · Zbl 0218.49004
[16] Rockafellar, R. T.: State constraints in convex control problems of bolza. SIAM control J. 10, 691-715 (1972) · Zbl 0224.49003