Geometric and analytic views in existence theorems for optimal control. III. Weak solutions |
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| Authors: | L. Cesari |
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| Affiliation: | (1) Department of Mathematics, University of Michigan, Ann Arbor, Michigan |
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| Abstract: | Existence theorems are proved for weak optimal solutions of problems of optimization with distributed and boundary control. Many examples are given. Application is made of recent remarks on closure properties of linear and nonlinear operators. Recent geometric, topological, and analytical views are brought to bear on the underlying seminormality conditions.This research was partially supported by AFOSR Research Project 71-2122 at the University of Michigan, Ann Arbor, Michigan. |
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| Keywords: | Existence theorems weak solutions distributed and boundary controls seminormality analytic criteria closed operators |
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