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Regional observation and sensors

100%
El Jai A., Hamzaoui H.
International Journal of Applied Mathematics and Computer Science
|
2009
|
tom 19
|
nr 1
5-14
EN
The purpose of this short paper is to provide original results related to the choice of the number of sensors and their supports for general distributed parameter systems. We introduce the notion of extended sensors and we show that the observation error decreases when the support of a sensor is widened. We also show that the observation error decreases when the number of sensors increases.
2
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How to compensate a spreading disturbance for a class of nonlinear systems

81%
Qaraai Y., Bernoussi A., El Jai A.
International Journal of Applied Mathematics and Computer Science
|
2008
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tom 18
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nr 2
171-187
EN
We consider a system which is assumed to be affected by an expanding disturbance which occurs at the initial time. The compensation of the disturbance is accomplished by extending the concept of remediability to a class of nonlinear systems. The results are implemented and illustrated with a nonlinear distributed model.
3
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Weak and exact domination in distributed systems

81%
Afifi L., Magri E. M., El Jai A.
International Journal of Applied Mathematics and Computer Science
|
2010
|
tom 20
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nr 3
419-426
EN
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.
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