<abstract xml:lang="en" xmlns="http://www.w3.org/1999/xhtml"><p>In this work, we introduce and examine the notion of domination for a class of linear distributed systems. This consists in studying the possibility to make a comparison between input or output operators. We give the main algebraic properties of such relations, as well as characterizations of exact and weak domination. We also study the case of actuators, and various situations are examined. Applications and illustrative examples are also given. By duality, we extend this study to observed systems. We obtain similar results and properties, and the case of sensors is equally examined.</p></abstract>

In this work, we introduce and examine the notion of domination for a class of linear distributed systems. This consists in studying the possibility to make a comparison between input or output operators. We give the main algebraic properties of such relations, as well as characterizations of exact and weak domination. We also study the case of actuators, and various situations are examined. Applications and illustrative examples are also given. By duality, we extend this study to observed systems. We obtain similar results and properties, and the case of sensors is equally examined.

Weak and exact domination in distributed systems

Faculty of Sciences Ain Chock, Hassan II Casablanca University, B.P. 5366-Maârif, Casablanca, Morocco

IMAGES—Systems Theory, University of Perpignan, 52 Avenue Paul Alduy, Perpignan Cedex, France

International Journal of Applied Mathematics and Computer Science

{"article-title":"Weak and exact domination in distributed systems"}

In this work, we introduce and examine the notion of domination for a class of linear distributed systems. This consists in studying the possibility to make a...

Weak and exact domination in distributed systems

Publié en ligne: 27 sept. 2010

Pages: 419 - 426

DOI: https://doi.org/10.2478/v10006-010-0031-5

Mots clés
distributed systems, domination, actuators, sensors

This content is open access.

Weak and exact domination in distributed systems

Publié en ligne: 27 sept. 2010

Pages: 419 - 426

DOI: https://doi.org/10.2478/v10006-010-0031-5

Mots clésdistributed systems, domination, actuators, sensors

This content is open access.

Mots clés
distributed systems, domination, actuators, sensors