On the global reachability of structured 2D state space systems

• Author(s): Pereira, Ricardo ; Rocha, Paula ; Simões, Rita
• Date: 2011
• Persistent ID: http://hdl.handle.net/10773/7040
• Origin: RIA - Repositório Institucional da Universidade de Aveiro
• Subject(s): Structured system; 2D discrete system; Global reachability
• Document Type: Part of book or chapter of book
• Language: English

Description

This paper is a contribution to extend the study of structured dynamical systems to the case of systems evolving over two-dimensional domains, i.e., 2D systems. In particular, we consider 2D Fornasini-Marchesini state space models and obtain necessary and sufficient conditions for structured global reachability. Such conditions are stated in terms of the generic rank and the irreducibility of suitably defined matrices and generalize well known results on the reachability of 1D structured systems. FCT (Fundação para a Ciência e Tecnologia) through CIDMA (Centro de Investigação e Desenvolvimento em Matemática e Aplicações), Universidade de Aveiro