Modelling dynamical systems using manifest and latent variables

Authors
Citation
Jc. Willems, Modelling dynamical systems using manifest and latent variables, MATH COMP S, 53(4-6), 2000, pp. 227-237
Citations number
14
Categorie Soggetti
Engineering Mathematics
Journal title
MATHEMATICS AND COMPUTERS IN SIMULATION
ISSN journal
03784754 → ACNP
Volume
53
Issue
4-6
Year of publication
2000
Pages
227 - 237
Database
ISI
SICI code
0378-4754(20001030)53:4-6<227:MDSUMA>2.0.ZU;2-6
Abstract
The behavioral approach provides a mathematical language for the modelling of systems, particularly dynamical systems. An introduction to behaviors is given, with emphasis to interconnected systems. This is viewed as consisti ng of modules, combined with an interconnection architecture. The latter is formalized as a graph with leaves. The elimination theorem is discussed. T his allows to obtain behavioral equations involving only manifest variables , starting from models that contain also latent variables. Subsequently, th e notions of controllability and observability are cast in this setting. (C ) 2000 IMACS. Published by Elsevier Science B.V. All rights reserved.