Damped Oscillations of Linear Systems: A Mathematical Introduction (Lecture Notes in Mathematics, Vol. 2023) - Softcover

Veselić, Krešimir

 
9783642213342: Damped Oscillations of Linear Systems: A Mathematical Introduction (Lecture Notes in Mathematics, Vol. 2023)
Softcover
ISBN 10: 3642213340 ISBN 13: 9783642213342
Publisher: 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.

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From the Back Cover

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.

"About this title" may belong to another edition of this title.

Publisher
Springer
Publication date
2011
Language
English
ISBN 10 
3642213340
ISBN 13 
9783642213342
Binding
Paperback
Edition number
1
Number of pages
215

Other Popular Editions of the Same Title

9783642213366: Damped Oscillations of Linear Systems: A Mathematical Introduction

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ISBN 10:  3642213367 ISBN 13:  9783642213366
Publisher: Springer, 2011
Softcover