Description of the Attainable Sets of One-Dimensional Differential Inclusions

Autor(es)

Chalco-Cano, Yurilev ^[1] ; de Oliveira, Valeriano A. ^[2] ; Silva, Geraldo N. ^[2]

Afiliação do(s) autor(es)

^[1] Univ Tarapaca, Inst Alta Invest, Arica - Chile

^[2] UNESP Univ Estadual Paulista, Dept Appl Math, BR-15054000 Sao Jose Do Rio Preto, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS; v. 164, n. 1, p. 138-153, JAN 2015.
• Citações Web of Science: 2

Resumo

The role played by the attainable set of a differential inclusion, in the study of dynamic control systems and fuzzy differential equations, is widely acknowledged. A procedure for estimating the attainable set is rather complicated compared to the numerical methods for differential equations. This article addresses an alternative approach, based on an optimal control tool, to obtain a description of the attainable sets of differential inclusions. In particular, we obtain an exact delineation of the attainable set for a large class of nonlinear differential inclusions. (AU)

• Processo FAPESP: 13/07375-0 - CeMEAI - Centro de Ciências Matemáticas Aplicadas à Indústria
• Beneficiário: José Alberto Cuminato
• Linha de fomento: Auxílio à Pesquisa - Centros de Pesquisa, Inovação e Difusão - CEPIDs
• Processo FAPESP: 11/01977-2 - Contribuições em teoria de controle ótimo
• Beneficiário: Valeriano Antunes de Oliveira
• Linha de fomento: Auxílio à Pesquisa - Regular
• Processo FAPESP: 11/13985-0 - Incerteza generalizada aplicada à otimização
• Beneficiário: Geraldo Nunes Silva
• Linha de fomento: Auxílio à Pesquisa - Pesquisador Visitante - Internacional