Plenary Lecture

Overview on Some Mathematical Methods for Observing Real Sub-Systems

Professor Benabdellah Yagoubi
Laboratory of Signals and systems
Department of Electrical Engineering
University of Mostaganem, Algeria
E-mail: yagoubibenabdellah@yahoo.com

Abstract: Any real system can be seen as a composite of one or more sub-systems. These can be related to each other either directly such as the sun and the earth, or indirectly as the moon and the sun in the solar system. The electrons are also an example of sub-systems that are linked indirectly through the nucleus to form the atom. But a real system can also be a sub-system that derives from a larger system, and hence more complicated tasks to reach or to get access to it.   Within a real system, there should be always one or more crucial real or virtual sub-systems that constitute the central and the most dominant part of a global system. In medical treatments, for example, it is vital to determine this central sub-system (a main organ in human body) and to see how strongly is influenced by the rest of the sub-systems (other organs) in order to study it through another easy accessible sub-system or to perform the treatments without affecting it. It is, therefore, of interest to localize this central sub-system, in general, and determine how well it can be dependent on the other sub-systems in its environment using mathematical tools such as the K-means algorithm and the Bayesian theory respectively. In this lecture, we will attempt to discuss how it is possible to observe, isolate or even extract a desired sub-system and perhaps predict its behavior using the previously mentioned tools and our suggested method based on a geometric relative observation.

Brief Biography of the Speaker: Dr B. Yagoubi received the M. Sc degree in Electrical Engineering in 1985 from Bel-Abbes University, Algeria and the Ph. D degree (thin films) (1986-1989) in the Faculty of Sciences from Brunel University (UK). He was the head of the Signals and Systems Laboratory (1999-2003) and the head of the Department of Electrical Engineering (2005-2006). He is lecturing the theory of digital signal, systems modeling and identification, random processes and detection (1996-2013) at Mostaganem University, Algeria. Currently, he is involved in some national projects; forest fire detection, heart rate variability in the LF and HF bands to characterize the autonomous nervous system, and study and application of random processes. Further research interests are in real signals and models geometric representation based on Gram-Schmidt orthogonalization concept, as well as using a relative geometric space of observation.

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