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Existence theorems for optimal control problems involving multiple integrals. (English) Zbl 0184.19404


Keywords:

control theory
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[1] Cesari, L., Existence theorems for weak and usual optimal solutions in Lagrange problems with unilateral constraints, I, Trans. Am. Math. Soc., 124, 369-472 (1966) · Zbl 0145.12501
[2] Cesari, L., Existence theorems for multidimensional problems of optimal control, Differential Equations and Dynamical Systems, ((1967), Academic Press: Academic Press New York), 115-132 · Zbl 0186.48803
[3] Cesari, L., Existence theorems for multidimensional Lagrange problems, J. Optimization Theory Appl., 1, 87-172 (1967) · Zbl 0156.12503
[4] Cesasi, L.Ann. Scuola Norm. Sup. Pisa.; Cesasi, L.Ann. Scuola Norm. Sup. Pisa.
[5] Dunford, N.; Schwartz, J. T., Linear Operators (1958), Interscience Publishers: Interscience Publishers New York, part I · Zbl 0084.10402
[6] Klee, V.; Olech, C., Characterization of a class of convex sets, Math. Scand., 20, 290-296 (1967) · Zbl 0162.44104
[7] Kuratowski, K., Les functions semi-continues dans d’espace des ensembles fermes, Fund. Math., 18, 148-166 (1932) · Zbl 0004.20401
[8] Morrey, C. B., Multiple Integrals in the Calculus of Variations (1966), Springer-Verlag: Springer-Verlag New York · Zbl 0142.38701
[9] Olech, C., Existence theorems for optimal problems with vector valued cost functions, Trans. Am. Math. Soc., 136, 157-180 (1967) · Zbl 0179.14002
[10] Rudin, W., Real and Complex Analysis (1966), McGraw-Hill Book Company: McGraw-Hill Book Company New York · Zbl 0148.02904
[11] Pontryagin, L. S.; Boltyanskii, V. G.; Gamkrelidze, R. V.; Mishehenko, E. F., (Neustadt, L. W., The mathematical Theory of Optimal Processes (1962), Interscience Publishers: Interscience Publishers New York), trans. from Russian by K. N. Trirogoff · Zbl 0102.32001
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