Éditeur(s) : HAL CCSD
Résumé : International audience
The published literature related to distributed parameter systems theory is quite large, and it is not feasible in a single book to give a detailed review on the wide historical development of all of it. Our choice of what to cover was motivated by the following consideration. Since distributed parameter systems evolve in time and space, the research investigations on their analysis and control focus on considering the whole system domain for any study. We feel strongly that within this research field, animportant consideration was missing; that of considering that the system may give raise to prescribed subdomains (regions) where one has to achieve an objective. This is the case of so many applications ranging from engineering to life sciences. For that reason, covering classical prerequisite in analysis and control areas, we have devoted the book to the extension of the classical distributed parameter results to regional ones.Students of mathematics do not come into contacts with distributed parameter systems during their classes. They are introduced to them when they start research and often they are influenced by the knowledge and the advice of experimented scientists. This was our case at the very beginning of these research investigations in the mid 70’s. We would liketo express our special thanks to many of them and mainly late Professor Anthony J. Pritchard (University of Warwick, GB) and late Professor J.L. Lions (College de France) who were so encouraging in front of our determination in driving an academic carrier. We also express our thanks to our co-workers and research students. We wish to acknowledge the feedback from all those who took courses based on various parts of this book.This book may be used by graduate students in mathematics, engineering, physics, and even by students from other fields such as life or environmental sciences. This book may also be used as an information source for researchers and education professionals. We assume that the readers already know the basic concepts of analysis and control of distributedparameter systems.
https://hal.archives-ouvertes.fr/hal-01297188

ISBN : 978-2-35412-140-2
hal-01297188
https://hal.archives-ouvertes.fr/hal-01297188

Éditeur(s) : HAL CCSD
Résumé : International audience
The published literature related to distributed parameter systems theoryis quite large, and it is not feasible in a single book to give a detailedreview on the wide historical development of all of it. Our choice of whatto cover was motivated by the following consideration. Since distributedparameter systems evolve in time and space, the research investigationson their analysis and control focus on considering the whole system domainfor any study. We feel strongly that within this research field, animportant consideration was missing; that of considering that the systemmay give raise to prescribed subdomains (regions) where one has toachieve an objective. This is the case of so many applications rangingfrom engineering to life sciences. For that reason, covering classical prerequisitein analysis and control areas, we have devoted the book to theextension of the classical distributed parameter results to regional ones.Students of mathematics do not come into contacts with distributedparameter systems during their classes. They are introduced to themwhen they start research and often they are influenced by the knowledgeand the advice of experimented scientists. This was our case at the verybeginning of these research investigations in the mid 70’s. We would liketo express our special thanks to many of them and mainly late ProfessorAnthony J. Pritchard (University of Warwick, GB) and late Professor J.L. Lions (College de France) who were so encouraging in front of our determinationin driving an academic carrier. We also express our thanksto our co-workers and research students. We wish to acknowledge thefeedback from all those who took courses based on various parts of thisbook.This book may be used by graduate students in mathematics, engineering,physics, and even by students from other fields such as life orenvironmental sciences. This book may also be used as an informationvi Avant-propossource for researchers and education professionals. We assume that thereaders already know the basic concepts of analysis and control of distributedparameter systems.
https://hal.archives-ouvertes.fr/hal-01297261

ISBN : 978-2-35412-140-2
hal-01297261
https://hal.archives-ouvertes.fr/hal-01297261

Éditeur(s) : HAL CCSD
Résumé : International audience
Cet ouvrage s’adresse aux étudiants des licences et masters ainsi qu’aux ingénieurs et aux chercheurs intéressés par la notion de perturbationdans les systèmes dynamiques décrits par des équations aux dérivées partielles (distribués).L’ouvrage explore des idées originales sur les notions de source, de détection de sources inconnues, de remédiabilité et de domination, sousdiverses formes et pour de nombreuses classes de systèmes distribués. La notion de domination, développée depuis peu, enrichit les divers conceptsde l’analyse des systèmes distribués. Elle donne la possibilité de comparer (ou de classifier) les systèmes, à travers les opérateurs de contrôle etde sortie. De par ce fait la domination permet de choisir de "meilleures" entrées-sorties pour mieux réagir quand il y a une perturbation.Les notions de détection, de remédiabilité et de domination sont également explorées d’un point de vue régional. La notion d’étalabilité et son lien avec la vulnérabilité y est également considérée.
https://hal.archives-ouvertes.fr/hal-01297271

ISBN : 978-2-35412-241-6
hal-01297271
https://hal.archives-ouvertes.fr/hal-01297271

Éditeur(s) : HAL CCSD
Résumé : International audience
Cet ouvrage s’adresse aux étudiants des licences et masters ainsi qu’auxingénieurs et aux chercheurs intéressés par la notion de perturbationdans les systèmes dynamiques décrits par des équations aux dérivéespartielles (distribués).L’ouvrage explore des idées originales sur les notions de source, dedétection de sources inconnues, de remédiabilité et de domination, sousdiverses formes et pour de nombreuses classes de systèmes distribués. Lanotion de domination, développée depuis peu, enrichit les divers conceptsde l’analyse des systèmes distribués. Elle donne la possibilité de comparer(ou de classifier) les systèmes, à travers les opérateurs de contrôle etde sortie. De par ce fait la domination permet de choisir de "meilleures"entrées-sorties pour mieux réagir quand il y a une perturbation.Les notions de détection, de remédiabilité et de domination sont égalementexplorées d’un point de vue régional.La notion d’étalabilité et son lien avec la vulnérabilité y est égalementconsidérée.Nous
https://hal.archives-ouvertes.fr/hal-01297177

ISBN : 978-2-35412-241-6
hal-01297177
https://hal.archives-ouvertes.fr/hal-01297177