Necessary conditions for optimal control problems involving nonlinear differential algebraic equations

• Tipo: Artigo em Revista Científica Internacional
• Data: 1997

Autores

M. do R. de Pinho (Autor) FEUP; R. B. Vinter (Autor) Outra

Revista

Título: Journal of Mathematical Analysis and Applications

Vol. 212 Nº 2

Páginas: 493-516

ISSN: 0022-247X

Editora: Elsevier

Indexação

ISI Web of Knowledge

ISI Web of Science

Scopus - 47 Citações

INSPEC

Classificação Científica

CORDIS: Ciências Físicas > Matemática > Análise matemática

Outras Informações

ID Authenticus: P-007-7JX

DOI: 10.1006/jmaa.1997.5523

Abstract (EN): Dynamic models which take the form of a coupled set of differential and algebraic equations (DAEs) are widely used in process systems engineering. Necessary conditions of optimality for optimal control problems involving such models are derived. A strong Maximum Principle is obtained under a convexity hypothesis on the velocity set. An example illustrates that the strong Maximal Principle may be violated when this hypothesis is dropped. For problems involving nonconvex velocity sets, however, a weak Maximum Principle is valid. © 1997 Academic Press.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 24