Semi-Discretization for Time-Delay Systems

Stability and Engineering Applications
2011
ISBN: 978-1-4614-3013-1
Verlag: Springer US

Buch, Englisch, 174 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 289 g

Reihe: Applied Mathematical Sciences

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.

Zielgruppe

Research

Autoren/Hrsg.

Stépán, Gábor

Insperger, Tamás

Fachgebiete

• Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Geometrie Dynamische Systeme
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen

Inhaltsverzeichnis

Introducing delay.- Basic delay differential equations.- Newtonian examples.- Engineering applications.- Summary.- References.

Über Autor(innen)

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