1.

Record Nr.

UNISA996466505703316

Autore

Veselić Krešimir

Titolo

Damped Oscillations of Linear Systems [[electronic resource] ] : A Mathematical Introduction / / by Krešimir Veselić

Pubbl/distr/stampa

Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2011

ISBN

3-642-21335-9

Edizione

[1st ed. 2011.]

Descrizione fisica

1 online resource (XV, 200 p. 8 illus.)

Collana

Lecture Notes in Mathematics, , 0075-8434 ; ; 2023

Disciplina

519

Soggetti

Applied mathematics

Engineering mathematics

System theory

Mathematical physics

Applications of Mathematics

Systems Theory, Control

Mathematical Applications in the Physical Sciences

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

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.

Sommario/riassunto

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.

2.

Record Nr.

UNINA9910964539703321

Titolo

African alternatives / / edited by Patrick Chabal, Ulf Engel, Leo de Haan

Pubbl/distr/stampa

Leiden, : Brill, 2007

ISBN

1-281-93626-X

9786611936266

90-474-2093-4

Descrizione fisica

1 online resource (191 p.)

Collana

African-Europe Group for Interdisciplinary Studies, , 1574-6925 ; ; v. 2

Altri autori (Persone)

ChabalPatrick <1951->

EngelUlf

HaanLeo de

Disciplina

960.32

Soggetti

Africa Politics and government 1960-

Africa Social conditions 1960-

Africa Economic conditions 1960-

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

Preliminary Materials / Leo De Haan , Ulf Engel and Patrick Chabal -- Introduction / Patrick Chabal , Ulf Engel and Leo De Haan -- Social And Historical Trajectories Of Agency In Africa / Mirjam De Bruijn , Rijk Van Dijk and Jan-Bart Gewald -- On The Powers And Limits Of Literature /



Alain Ricard -- Land And The Politics Of Belonging In Africa / Carola Lentz -- Studies In African Livelihoods: Current Issues And Future Prospects / Leo De Haan -- Politics, Popular Culture And Livelihood Strategies Among Young Men In A Nairobi Slum / Bodil Folke Frederiksen -- African Migrations: Continuities, Discontinuities And Recent Transformations / Oliver Bakewell and Hein De Haas -- Migration As Reterritorialization: Migrant Movement, Sovereignty And Authority In Contemporary Southern Africa / Scarlett Cornelissen -- Approaching African Tourism: Paradigms And Paradoxes / Walter Van Beek -- List Of Contributors / Leo De Haan , Ulf Engel and Patrick Chabal -- Index / Leo De Haan , Ulf Engel and Patrick Chabal.

Sommario/riassunto

This collection of articles aims to stimulate the exploration of African initiative and creativity and to go beyond immediate socio-economic and political circumstances by analyzing those initiatives that offer alternatives to the prevailing paradigms. It moves away from African ‘victimhood’ by stressing African ‘agency’ and by demonstrating that societies in Africa have always showed the ability to negotiate whatever constraining ecological, economic and political circumstances they faced. This is further detailed in the context of the literary contest between local and global; of issues of land rights and property; of livelihoods and poverty; of the popular culture; of demystifying African migrations; the changing parameters of territoriality; and the dynamics of the tourist encounter.