Markov properties for systems described by PDEs and first-order representations

• Tipo: Artigo em Revista Científica Internacional
• Data: 2006

Autores

Rocha, P (Autor) Outra; Willems, JC (Autor) Outra

Revista

A Revista está pendente de validação pelos Serviços Administrativos.

Título: SYSTEMS & CONTROL LETTERS

Vol. 55

Páginas: 538-542

ISSN: 0167-6911

Indexação

ISI Web of Knowledge - 11 Citações

Scopus - 13 Citações

Classificação Científica

FOS: Ciências da engenharia e tecnologias > Engenharia electrotécnica, electrónica e informática

Outras Informações

ID Authenticus: P-004-K2A

DOI: 10.1016/j.sysconle.2005.11.003

Abstract (EN): The relation between Markovianity and representability by means of first-order PDEs is investigated. We consider two versions of the Markovian property, weak and strong-Markovianity. The weak version has been introduced in [J.C. Willems, State and first-order representations, in: VD. Blondel, A. Megretski (Eds.), Unsolved Problems in Mathematical Systems & Control Theory, Princeton University Press, Princeton, NJ, 2004, pp. 54-57] and conjectured to correspond to first-order representations. We provide a counterexample, to this conjecture. For finite-dimensional behaviors, strong-Markovianity is proven to be indeed equivalent to the representability by means of first-order PDEs with a special structure.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 5