Title
State-space descriptions and observability properties of 2D finite-dimensional autonomous behaviors
Abstract
Finite-dimensional autonomous behaviors (SIAM J. Control Optimiz. 31 (1993) 1502; IEEE Trans. Circuits Systems Part I, CAS1-47 3 (2000) 290) are the sets of solutions of certain two-dimensional (2D) difference equations, endowed with the property of constituting finite-dimensional vector spaces. Among all possible types of representations for this class of behaviors, we will be specifically interested in two of them: kernel descriptions (corresponding to right factor prime polynomial matrix operators) or 2D state-space descriptions (associated with a pair of nonsingular commuting system matrices).
Year
DOI
Venue
2001
10.1016/S0167-6911(01)00127-X
Systems & Control Letters
Keywords
Field
DocType
Finite-dimensional (autonomous) behaviors,State-space models,Dynamic systems with latent variables,Observability,Laurent polynomials and varieties,Commuting matrices
Kernel (linear algebra),Discrete mathematics,Commuting matrices,Vector space,Observability,Mathematical optimization,Algebraic number,Polynomial matrix,Algebra,Matrix (mathematics),State space,Mathematics
Journal
Volume
Issue
ISSN
44
2
0167-6911
Citations 
PageRank 
References 
2
1.10
2
Authors
1
Name
Order
Citations
PageRank
Maria Elena Valcher149339.11