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A New Sufficient Condition for Optimal Impulsive Control Problems

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Autor(es):
de Oliveira, Valeriano A. ; Silva, Geraldo N. ; Pereira, Fernando Lobo ; IEEE
Número total de Autores: 4
Tipo de documento: Artigo Científico
Fonte: 2012 IEEE 51ST ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC); v. N/A, p. 6-pg., 2012-01-01.
Resumo

In this article we introduce the concept of MP-pseudoinvexity for general nonlinear impulsive optimal control problems whose dynamics are specified by measure driven control equations. This is a general paradigm in that, both the absolutely continuous and singular components of the dynamics depend on both the state and the control variables. The key result consists in showing the sufficiency for optimality of the MP-pseudoinvexity. It is proved that, if this property holds, then every process satisfying the maximum principle is an optimal one. This result is obtained in the context of a proper solution concept that will be presented and discussed. (AU)

Processo FAPESP: 11/01977-2 - Contribuições em teoria de controle ótimo
Beneficiário:Valeriano Antunes de Oliveira
Modalidade de apoio: Auxílio à Pesquisa - Regular
Processo FAPESP: 09/18643-0 - Controle ótimo de sistemas não lineares
Beneficiário:Geraldo Nunes Silva
Modalidade de apoio: Auxílio à Pesquisa - Regular