Control in a behavioral setting

Author

Trentelman, Harry L. ; Willems, Jan C.

Author_Institution

Math. Inst., Groningen Univ., Netherlands

Volume

2

fYear

1996

fDate

11-13 Dec 1996

Firstpage

1824

Abstract

One of the main features of the behavioral approach as a foundation framework for the theory of dynamical systems is that it does not take the input/output structure as the starting point for describing systems in interaction with their environment. Instead, a mathematical model is simply viewed as any relation among variables. In the dynamic case this relation constrains the time-evolution which a set of variables can take. The collection of time trajectories in which the model declares possible is called the behaviour of the dynamical system. This behaviour, hence a set of time functions, can be specified in many different ways. In this note we explain our new view of control, and address some issues that come up in developing a theory of control in a behavioral setting. We also give a few examples of control problems in behavioral setting

Keywords

controllability; differential equations; linear differential equations; linear systems; pole assignment; polynomial matrices; set theory; time-domain analysis; behavioral setting; controllability; dynamical systems; input/output structure; linear differential equations; linear time invariant systems; polynomial matrix; signal space; time trajectories; time-evolution; Closed loop systems; Control design; Control systems; Control theory; Equations; Feedback loop; Intelligent control; Mathematical model; Mathematics; Mechanical engineering;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1996., Proceedings of the 35th IEEE Conference on

Conference_Location

Kobe

ISSN

0191-2216

Print_ISBN

0-7803-3590-2

Type

conf

DOI

10.1109/CDC.1996.572833

Filename

572833