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Necessary conditions for constrained problems under Mangasarian-Fromowitz conditions
| Resumo: | The focus of this paper is on first order necessary conditions for optimal control problems with mixed state-control equality and inequality constraints. We consider the case when the cost and dynamics are nonsmooth, and the constraints satisfy Mangasarian-Fromowitz-type assumptions that weaken the commonly used hypothesis that the Jacobian of the active constraints, with respect to the free variable, is of full rank. The results are formulated as unmaximized Hamiltonian inclusion-type conditions involving not the customary product of partial subdifferentials but the joint subdifferential with respect to the state and control variables. |
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| Assunto: | Engenharia de controlo, Engenharia electrotécnica, electrónica e informática Control engineering, Electrical engineering, Electronic engineering, Information engineering |
| País: | Portugal |
| Tipo de documento: | journal article |
| Tipo de acesso: | Restrito |
| Instituição associada: | Repositório Aberto da Universidade do Porto |
| Idioma: | inglês |
| Origem: | Repositório Aberto da Universidade do Porto |
| _version_ | 1850560648911519744 |
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| conditionsOfAccess_str | restricted access |
| country_str | PT |
| description | The focus of this paper is on first order necessary conditions for optimal control problems with mixed state-control equality and inequality constraints. We consider the case when the cost and dynamics are nonsmooth, and the constraints satisfy Mangasarian-Fromowitz-type assumptions that weaken the commonly used hypothesis that the Jacobian of the active constraints, with respect to the free variable, is of full rank. The results are formulated as unmaximized Hamiltonian inclusion-type conditions involving not the customary product of partial subdifferentials but the joint subdifferential with respect to the state and control variables. |
| documentTypeURL_str | http://purl.org/coar/resource_type/c_6501 |
| documentType_str | journal article |
| id | 735f7215-b1a2-4068-b162-d371ecd666d1 |
| identifierHandle_str | https://hdl.handle.net/10216/95605 |
| language | eng |
| relatedInstitutions_str_mv | Repositório Aberto da Universidade do Porto |
| resourceName_str | Repositório Aberto da Universidade do Porto |
| spellingShingle | Necessary conditions for constrained problems under Mangasarian-Fromowitz conditions Engenharia de controlo, Engenharia electrotécnica, electrónica e informática Control engineering, Electrical engineering, Electronic engineering, Information engineering |
| title | Necessary conditions for constrained problems under Mangasarian-Fromowitz conditions |
| topic | Engenharia de controlo, Engenharia electrotécnica, electrónica e informática Control engineering, Electrical engineering, Electronic engineering, Information engineering |