Damped Oscillations of Linear Systems: A Mathematical Introduction - Couverture souple

Veselić, Krešimir

 
9783642213342: Damped Oscillations of Linear Systems: A Mathematical Introduction
Couverture souple
ISBN 10 : 3642213340 ISBN 13 : 9783642213342
Editeur : Springer, 2011

Synopsis

The theory of linear damped oscillations was originally developed more than hundred years ago and is still of vital research interest to engineers, mathematicians and physicists alike. This theory plays a central role in explaining the stability of mechanical structures in civil engineering, but it also has applications in other fields such as electrical network systems and quantum mechanics.
This volume gives an introduction to linear finite dimensional damped systems as they are viewed by an applied mathematician. After a short overview of the physical principles leading to the linear system model, a largely self-contained mathematical theory for this model is presented. This includes the geometry of the underlying indefinite metric space, spectral theory of J-symmetric matrices and the associated quadratic eigenvalue problem. Particular attention is paid to the sensitivity issues which influence numerical computations. Finally, several recent research developments are included, e.g. Lyapunov stability and the perturbation of the time evolution.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

The theory of linear damped oscillations was originally developed more than hundred years ago and is still of vital research interest to engineers, mathematicians and physicists alike. This theory plays a central role in explaining the stability of mechanical structures in civil engineering, but it also has applications in other fields such as electrical network systems and quantum mechanics. This volume gives an introduction to linear finite dimensional damped systems as they are viewed by an applied mathematician. After a short overview of the physical principles leading to the linear system model, a largely self-contained mathematical theory for this model is presented. This includes the geometry of the underlying indefinite metric space, spectral theory of J-symmetric matrices and the associated quadratic eigenvalue problem. Particular attention is paid to the sensitivity issues which influence numerical computations. Finally, several recent research developments are included, e.g. Lyapunov stability and the perturbation of the time evolution.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer
Date d'édition
2011
Langue
anglais
ISBN 10 
3642213340
ISBN 13 
9783642213342
Reliure
Broché
Numéro d'édition
1
Nombre de pages
228
Coordonnées du fabricant
ProductSafety@springernature.com
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Poststr. 9
Darmstadt
64293
Allemagne

Autres éditions populaires du même titre

9783642213366: Damped Oscillations of Linear Systems: A Mathematical Introduction

Edition présentée

ISBN 10 :  3642213367 ISBN 13 :  9783642213366
Editeur : Springer, 2011
Couverture souple