Damped Oscillations of Linear Systems: A Mathematical Introduction
Author:   Krešimir Veselić
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Volume:   2023
ISBN:  

9783642213342


Pages:   200
Publication Date:   09 July 2011
Format:   Paperback
Availability:   In Print   Availability explained
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Damped Oscillations of Linear Systems: A Mathematical Introduction


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Full Product Details

Author:   Krešimir Veselić
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Volume:   2023
Dimensions:   Width: 15.50cm , Height: 1.20cm , Length: 23.50cm
Weight:   0.454kg
ISBN:  

9783642213342


ISBN 10:   3642213340
Pages:   200
Publication Date:   09 July 2011
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

1 The model.- 2 Simultaneous diagonalisation (Modal damping).- 3 Phase space.- 4 The singular mass case.- 5 Indefinite metric .- 6 Matrices and indefinite scalar products.- 7 Oblique projections.- 8 J-orthogonal projections.- 9 Spectral properties and reduction of J-Hermitian matrices.- 10 Definite spectra.- 11 General Hermitian matrix pairs.- 12 Spectral decomposition of a general J-Hermitian matrix.- 13 The matrix exponential.- 14 The quadratic eigenvalue problem.- 15 Simple eigenvalue inclusions.- 16 Spectral shift.- 17 Resonances and resolvents.- 18 Well-posedness .- 19 Modal approximation.- 20 Modal approximation and overdampedness.- 21 Passive control.- 22 Perturbing matrix exponential.- 23 Notes and remarks.

Reviews

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)


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