Representations and structural properties of periodic systems

• Tipo: Artigo em Revista Científica Internacional
• Data: 2007

Autores

Jose Carlos Aleixo (Autor) Outra; Jan Willem Polderman (Autor) Outra; Paula Rocha (Autor) Outra

Revista

Título: Automatica

Vol. 43

Páginas: 1921-1931

ISSN: 0005-1098

Editora: Elsevier

Indexação

ISI Web of Knowledge - 7 Citações

Scopus - 12 Citações

Classificação Científica

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

Outras Informações

ID Authenticus: P-004-6CX

DOI: 10.1016/j.automatica.2007.03.013

Abstract (EN): We consider periodic behavioral systems as introduced in [Kuijper, M., & Willems, J. C. (1997). A behavioral framework for periodically time-varying systems. In Proceedings of the 36th conference on decision & control (Vol. 3, pp. 2013-2016). San Diego, California, USA, 10-12 December 1997] and analyze two main issues: behavioral representation, and controllability/autonomy. More concretely, we study the equivalence and the minimality of kernel representations, and introduce latent variable (and, in particular, image) representations. Moreover we relate the controllability of a periodic system with the controllability of an associated time-invariant system known as lifted system, and derive a controllability test. Further, we prove the existence of an autonomous/controllable decomposition similar to the time-invariant case. Finally, we introduce a new concept of free variables and inputs, which can be regarded as a generalization of the one adopted for time-invariant systems, but appears to be more adequate for the periodic case.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 11