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Semi-Discretization for Time-Delay Systems

E-BookPDF1 - PDF WatermarkE-Book
174 Seiten
Englisch
Springer New Yorkerschienen am15.07.20112011
This book presents the recently introduced and already widely referred semi-discretization method for the stability analysis of delayed dynamical systems. Delay differential equations often come up in different fields of engineering, like feedback control systems, machine tool vibrations, balancing/stabilization with reflex delay. The behavior of such systems is often counter-intuitive and closed form analytical formulas can rarely be given even for the linear stability conditions. If parametric excitation is coupled with the delay effect, then the governing equation is a delay differential equation with time periodic coefficients, and the stability properties are even more intriguing. The semi-discretization method is a simple but efficient method that is based on the discretization with respect to the delayed term and the periodic coefficients only. The method can effectively be used to construct stability diagrams in the space of system parameters.

Tamas Insperger and Gabor Stepan are both Professors in the Department of Applied Mechanics at the Budapest University of Technology and Economics.mehr
Verfügbare Formate
BuchKartoniert, Paperback
EUR53,49
BuchGebunden
EUR56,00
E-BookPDF1 - PDF WatermarkE-Book
EUR53,49

Produkt

KlappentextThis book presents the recently introduced and already widely referred semi-discretization method for the stability analysis of delayed dynamical systems. Delay differential equations often come up in different fields of engineering, like feedback control systems, machine tool vibrations, balancing/stabilization with reflex delay. The behavior of such systems is often counter-intuitive and closed form analytical formulas can rarely be given even for the linear stability conditions. If parametric excitation is coupled with the delay effect, then the governing equation is a delay differential equation with time periodic coefficients, and the stability properties are even more intriguing. The semi-discretization method is a simple but efficient method that is based on the discretization with respect to the delayed term and the periodic coefficients only. The method can effectively be used to construct stability diagrams in the space of system parameters.

Tamas Insperger and Gabor Stepan are both Professors in the Department of Applied Mechanics at the Budapest University of Technology and Economics.
Details
Weitere ISBN/GTIN9781461403357
ProduktartE-Book
EinbandartE-Book
FormatPDF
Format Hinweis1 - PDF Watermark
FormatE107
Erscheinungsjahr2011
Erscheinungsdatum15.07.2011
Auflage2011
ReiheApplied Mathematical Sciences
Reihen-Nr.178
Seiten174 Seiten
SpracheEnglisch
IllustrationenX, 174 p.
Artikel-Nr.1719788
Rubriken
Genre9200

Inhalt/Kritik

Inhaltsverzeichnis
1;Semi-Discretization for Time-Delay Systems;4
2;Preface;8
3;Contents;10
4;Chapter 1:Introducing Delay in Linear Time-Periodic Systems;12
5;Chapter 2:Stability Charts for Fundamental Delay-Differential Equations;24
6;Chapter 3:Semi-discretization;49
7;Chapter 4:Newtonian Examples;82
8;Chapter 5:Engineering Applications;102
9;Appendix A:Appendix;159
10;References;170mehr

Autor

Tamas Insperger and Gabor Stepan are both Professors in the Department of Applied Mechanics at the Budapest University of Technology and Economics.