Abstract
Existence theorems for optimal control problems in Banach spaces are stated and proved.
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References
Cesari, L.,Existence Theorems for Problems of Optimization with Distributed and Boundary Controls, Proceedings of the International Congress of Mathematicians, Nice, France, Vol. 3, pp. 157–161, 1970.
Cesari, L.,Closure Theorems for Orientor Fields and Weak Convergence, Archive for Rational Mechanics and Analysis, Vol. 55, 1974.
Cesari, L.,Existence Theorems for Weak and Usual Solutions in Lagrange Problems with Unilateral Constraints, I, II, Transactions of the American Mathematical Society, Vol. 124, pp. 369–412 and 413–429, 1966.
Cesari, L.,Closure Theorems for Orientor Fields, Bulletin of the American Mathematical Society, Vol. 79, pp. 684–689, 1973.
Cesari, L., andCowles, D. E.,Existence Theorems for Optimization Problems with Distributed and Boundary Controls, Archive for Rational Mechanics and Analysis, Vol. 46, pp. 321–355, 1972.
Cesari, L., andKaiser, P. J.,Closed Operators and Existence Theorems in Multidimensional Problems of Calculus of Variations, Bulletin of the American Mathematical Society, Vol. 80, pp. 473–478, 1974.
Kaiser, P. J.,Seminormality Properties of Convex Sets, Circolo Matematico di Palermo (to appear).
Kaiser, P. J., andSuryanarayana, M. B.,Orientor Field Equations in Banach Spaces, Journal of Optimization Theory and Applications (to appear).
Cesari, L.,Lower Semicontinuity and Lower Closure Theorems without Seminormality Conditions. Annali di Matematica Pura e Applicata, Vol. 98, pp. 381–397, 1974.
Cesari, L.,A Necessary and Sufficient Condition for Lower Semicontinuity, Bulletin of the American Mathematical Society, Vol. 80, pp. 467–472, 1974.
Cesari, L., andSuryanarayana, M. B.,Closure Theorems Without Seminormality Conditions, Journal of Optimization Theory and Applications (to appear).
Cesari, L., andSuryanarayana, M. B.,Convexity and Property (Q) in Optimal Control Theory, SIAM Journal on Control, Vol. 12, No. 4, 1974.
Berkovitz, L. D.,Existence and Lower Closure Theorems for Abstract Control Problems, SIAM Journal on Control, Vol. 12, pp. 27–42, 1974.
Cesari, L.,An Existence Theorem Without Convexity Conditions, SIAM Journal on Control, Vol. 12, No. 3, 1974.
Suryanarayana, M. B.,Linear Control Problems with Total Differential Equations, Transactions of the American Mathematical Society (to appear).
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Dedicated to Professor M. R. Hestenes
This research was partially supported by AFOSR Research Project 71-2122.
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Cesari, L. Geometric and analytic views in existence theorems for optimal control in Banach spaces. Part 1. Distributed parameters. J Optim Theory Appl 14, 505–520 (1974). https://doi.org/10.1007/BF00932845
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DOI: https://doi.org/10.1007/BF00932845