Le but de cet article est de montrer l’état de l’art dans l’analyse des systèmes distribués lorsque l’on examine certains concepts à partir de considérations régionales. Autrement dit, à partir de la donnée d’un système dynamique défini sur un domaine , on ne s’intéresse à sa contrôlabilité, à son observabilité, à sa stabilité, ... que sur une région privilégiée , . Partant de concepts classiques, on développe leur adaptation au cas régional. On développe ensuite des concepts régionaux propres aux systèmes distribués tels que l’étalabilité. Divers développements spécifiques sont donnés. De nombreux résultats et exemples illustrent le travail.
The aim of this paper is to give the state of the art in the regional analysis of distributed parameter systems. The statement of regional analysis problems is: given a dynamical system defined on a domain , one focuses the study of its controllability, its observability, its stability, ... only on a given subregion , . We develop the extension of classical concepts as well as new concepts like spreadability. Various results and examples illustrate the paper.
Classification : 93C20
Mots clés : systèmes distribués, contrôlabilité, actionneurs, étalabilité, contrôle
@article{COCV_2002__8__663_0, author = {Jai, A. El}, title = {Analyse r\'egionale des syst\`emes distribu\'es}, journal = {ESAIM: Control, Optimisation and Calculus of Variations}, pages = {663--692}, publisher = {EDP-Sciences}, volume = {8}, year = {2002}, doi = {10.1051/cocv:2002054}, zbl = {1063.93022}, mrnumber = {1932967}, language = {fr}, url = {http://www.numdam.org/item/COCV_2002__8__663_0/} }
Jai, A. El. Analyse régionale des systèmes distribués. ESAIM: Control, Optimisation and Calculus of Variations, Tome 8 (2002) , pp. 663-692. doi : 10.1051/cocv:2002054. http://www.numdam.org/item/COCV_2002__8__663_0/
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