Wintersalen Sale
 
 

Special Offers see all

Enter to WIN a $100 Credit

Subscribe to PowellsBooks.news
for a chance to win.
Privacy Policy

Tour our stores


    Recently Viewed clear list


    Original Essays | September 30, 2014

    Benjamin Parzybok: IMG A Brief History of Video Games Played by Mayors, Presidents, and Emperors



    Brandon Bartlett, the fictional mayor of Portland in my novel Sherwood Nation, is addicted to playing video games. In a city he's all but lost... Continue »

    spacer
Qualifying orders ship free.
$50.25
New Trade Paper
Ships in 1 to 3 days
Add to Wishlist
available for shipping or prepaid pickup only
Available for In-store Pickup
in 7 to 12 days
Qty Store Section
2 Remote Warehouse Mathematics- Applied

More copies of this ISBN

Other titles in the Lecture Notes in Mathematics series:

Lecture Notes in Mathematics #2023: Damped Oscillations of Linear Systems: A Mathematical Introduction

by

Lecture Notes in Mathematics #2023: Damped Oscillations of Linear Systems: A Mathematical Introduction Cover

 

Synopses & Reviews

Publisher Comments:

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.

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.

Product Details

ISBN:
9783642213342
Author:
Veseli, Kreaimir
Publisher:
Springer
Author:
Veselic, Kresimir
Subject:
Mathematics-Applied
Subject:
Applied
Subject:
15-XX, 47-XX, 70-XX
Subject:
Damped Systems
Subject:
Linear systems
Subject:
APPLICATIONS OF MATHEMATICS
Subject:
Systems Theory, Control
Subject:
Mathematical Applications in the Physical Sciences
Copyright:
Edition Description:
2011
Series:
Lecture Notes in Mathematics
Series Volume:
2023
Publication Date:
20110928
Binding:
TRADE PAPER
Language:
English
Pages:
215
Dimensions:
235 x 155 mm 349 gr

Related Subjects


Science and Mathematics » Mathematics » Applied
Science and Mathematics » Mathematics » Systems Theory

Lecture Notes in Mathematics #2023: Damped Oscillations of Linear Systems: A Mathematical Introduction New Trade Paper
0 stars - 0 reviews
$50.25 In Stock
Product details 215 pages Springer - English 9783642213342 Reviews:
spacer
spacer
  • back to top

FOLLOW US ON...

     
Powell's City of Books is an independent bookstore in Portland, Oregon, that fills a whole city block with more than a million new, used, and out of print books. Shop those shelves — plus literally millions more books, DVDs, and gifts — here at Powells.com.