| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] UNESP Sao Paulo State Univ, Dept Appl Math, Biosci Languages & Exact Sci Inst, Sao Paulo - Brazil
Total Affiliations: 1
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| Document type: | Journal article |
| Source: | NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION; v. 40, n. 8, p. 867-887, JUN 11 2019. |
| Web of Science Citations: | 0 |
| Abstract | |
It is well-known in optimal control theory that the maximum principle, in general, furnishes only necessary optimality conditions for an admissible process to be an optimal one. It is also well-known that if a process satisfies the maximum principle in a problem with convex data, the maximum principle turns to be likewise a sufficient condition. Here an invexity type condition for state constrained optimal control problems is defined and shown to be a sufficient optimality condition. Further, it is demonstrated that all optimal control problems where all extremal processes are optimal necessarily obey this invexity condition. Thus optimal control problems which satisfy such a condition constitute the most general class of problems where the maximum principle becomes automatically a set of sufficient optimality conditions. (AU) | |
| FAPESP's process: | 16/03540-4 - Regularity Conditions in Optimal Control |
| Grantee: | Valeriano Antunes de Oliveira |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 13/07375-0 - CeMEAI - Center for Mathematical Sciences Applied to Industry |
| Grantee: | Francisco Louzada Neto |
| Support Opportunities: | Research Grants - Research, Innovation and Dissemination Centers - RIDC |