Damped Oscillations of Linear Systems: A Mathematical Introduction - Lecture Notes in Mathematics 2023 (Paperback)Kresimir Veselic (author)
- We can order this
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.
Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Number of pages: 200
Weight: 355 g
Dimensions: 235 x 155 x 12 mm
From the reviews:
"The present book is a very detailed study of this damped system in 22cChapters and an addendum devoted to notes and remarks. The theoretical aspects are very interestingly combined with practical examples for several domains. ... An important aspect is that each chapter contains a large number of exercises, some of them obligatory since they are used later. So, this material can be very useful for a course to students from different special areas." (Mircea Crasmareanu, Zentralblatt MATH, Vol. 1232, 2012)
"This book is devoted to a mathematical study of damped oscillations described by linear systems of ordinary differential equations. The topic is of vital interest in optimization, control theory and, of course, in the stability of mechanical structures. ... Examples and exercises are integral parts of the text and some of them introduce the reader to research questions." (Piotr Biler, Mathematical Reviews, Issue 2012 h)
You may also be interested in...
Please sign in to write a review