A Polynomial Matrix Approach to the Structural Properties of 2D Positive Systems

Author

Fornasini, Ettore ; Valcher, Maria Elena ; Pinto, Raquel

Author_Institution

Dipt. di Ingegneria deU´´Informazione, Padova Univ.

fYear

2005

fDate

27-29 June 2005

Firstpage

767

Lastpage

772

Abstract

In this paper, (local/global) reachability and observability are introduced in the context of two-dimensional (2D) positive systems. While local reachability and observability are naturally characterized by resorting to certain real matrices associated with the 2D state space representation, their global versions are better investigated via a polynomial approach. Necessary and sufficient conditions for the existence of these properties are provided and, in particular, polynomial canonical forms for globally reachable/observable positive systems with scalar inputs/scalar outputs are provided

Keywords

multidimensional systems; observability; polynomial matrices; reachability analysis; state-space methods; 2D positive systems; 2D state space representation; global reachability; local reachability; observability; polynomial canonical forms; polynomial matrix approach; scalar inputs; scalar outputs; structural properties; Asymptotic stability; Constraint theory; Controllability; Equations; Mathematics; Observability; Polynomials; State-space methods; Sufficient conditions;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Control, 2005. Proceedings of the 2005 IEEE International Symposium on, Mediterrean Conference on Control and Automation

Conference_Location

Limassol

ISSN

2158-9860

Print_ISBN

0-7803-8936-0

Type

conf

DOI

10.1109/.2005.1467111

Filename

1467111