Modelling the behavior of systems: Basic concepts and algorithms

T Cotroneo*, JC Willems

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

Abstract

In this paper we introduce the behavioral approach as a mathematical language for describing dynamical systems, in particular systems modeled by high order constant coefficient linear differential equations. We investigate what data have to be added in order to express the influence of the environment and the initial conditions on the system. We give an algorithm to check whether these additional constraints are satisfied by a (unique) trajectory. We define the concepts of observability and controllability, and present algorithms which provide a constructive verification of such properties.

Original languageEnglish
Title of host publicationSYSTEM MODELLING AND OPTIMIZATION
EditorsMJD Powell, S Scholtes
Place of PublicationNORWELL
PublisherKluwer Academic Publishers
Pages97-117
Number of pages21
ISBN (Print)0-7923-7881-4
Publication statusPublished - 2000
Event19th IFIP TC7 Conference on System Modelling and Optimization -
Duration: 12-Jul-199916-Jul-1999

Publication series

NameINTERNATIONAL FEDERATION FOR INFORMATION PROCESSING
PublisherKLUWER ACADEMIC PUBLISHERS
Volume46
ISSN (Print)1571-5736

Other

Other19th IFIP TC7 Conference on System Modelling and Optimization
Period12/07/199916/07/1999

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