Representations and structural properties of periodic systems

• Type: Article in International Scientific Journal
• Date: 2007

Authors

Jose Carlos Aleixo (Author) Other; Jan Willem Polderman (Author) Other; Paula Rocha (Author) Other

Journal

Title: Automatica

Vol. 43

Pages: 1921-1931

ISSN: 0005-1098

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 7 Citations

Scopus - 12 Citations

Scientific classification

FOS: Engineering and technology > Electrical engineering, Electronic engineering, Information engineering

Other information

Authenticus ID: 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 11