Title :
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.
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;
Conference_Titel :
Intelligent Control, 2005. Proceedings of the 2005 IEEE International Symposium on, Mediterrean Conference on Control and Automation
Conference_Location :
Limassol
Print_ISBN :
0-7803-8936-0
DOI :
10.1109/.2005.1467111
