| Full text | |
| Author(s): |
Total Authors: 3
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| Affiliation: | [1] Univ Mayor San Andres, Carrera Matemat, La Paz - Bolivia
[2] Univ Porto, Fac Engn, Systec, DEEC, Porto - Portugal
[3] UNESP Univ Estadual Paulista, Inst Biociencias Letras & Ciericias Exatas, Dept Matemat, Sao Jose Do Rio Preto, SP - Brazil
Total Affiliations: 3
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| Document type: | Journal article |
| Source: | ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS; v. 27, JUL 12 2021. |
| Web of Science Citations: | 0 |
| Abstract | |
A weak maximal principle for minimax optimal control problems with mixed state-control equality and inequality constraints is provided. In the formulation of the minimax control problem we allow for parameter uncertainties in all functions involved: in the cost function, in the dynamical control system and in the equality and inequality constraints. Then a new constraint qualification of Mangassarian-Fromovitz type is introduced which allowed us to prove the necessary conditions of optimality. We also derived the optimality conditions under a full rank conditions type and showed that it is, as usual, a particular case of the Mangassarian-Fromovitz type condition case. Illustrative examples are presented. (AU) | |
| 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 |
| FAPESP's process: | 18/08036-8 - Multi-agent control and estimation for multi-horizon goals conciliation |
| Grantee: | Geraldo Nunes Silva |
| Support Opportunities: | Regular Research Grants |