Skip to main content
SpringerLink
Log in
Book cover

Semi-Discretization for Time-Delay Systems

Stability and Engineering Applications

  • Book
  • © 2011

Overview

Authors:
  1. Tamás Insperger

    1. , Department of Applied Mechanics, Budapest University of Technology and Ec, Budapest, Hungary

    View author publications

    You can also search for this author in PubMed   Google Scholar

  2. Gábor Stépán

    1. , Department of Applied Mechanics, Budapest University of Technology and Ec, Budapest, Hungary

    View author publications

    You can also search for this author in PubMed   Google Scholar

  • Stability diagrams for some basic delay systems appearing in engineering problems are summarized in the introduction
  • The semi-discretization method is presented in a simple and clear way with examples
  • Different approaches for the application of the semi-discretization method is presented considering the rate convergence and numerical efficiency Basic engineering models described by time-periodic and time-delayed systems are presented
  • Includes supplementary material: sn.pub/extras

Part of the book series: Applied Mathematical Sciences (AMS, volume 178)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 54.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (5 chapters)

  1. Front Matter

    Pages i-x
    Download chapter PDF

  2. Introducing Delay in Linear Time-Periodic Systems

    • Tamás Insperger, Gábor Stépán
    Pages 1-12

  3. Stability Charts for Fundamental Delay-Differential Equations

    • Tamás Insperger, Gábor Stépán
    Pages 13-37

  4. Semi-discretization

    • Tamás Insperger, Gábor Stépán
    Pages 39-71

  5. Newtonian Examples

    • Tamás Insperger, Gábor Stépán
    Pages 73-92

  6. Engineering Applications

    • Tamás Insperger, Gábor Stépán
    Pages 93-149

  7. Back Matter

    Pages 151-174
    Download chapter PDF
Back to top

Keywords

About this book

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.

Reviews

From the reviews:

“The goal of this book is to present the semi-discretization method for the stability analysis of linear periodic delay systems. … The book is very well written and organized. … is very interesting from both theoretical and applied points of view. … a good list of references to the relevant literature is included. It is a good source to introduce Ph.D. students to the subject, and also a useful reference book for researchers in many areas where time-delay systems play an important role … .” (Eduardo Liz, Mathematical Reviews, Issue 2012 f)

“This monograph presents a numerical technique, called the semi-discretization method, for the stability analysis of linear time-periodic and time-delay systems. Partial differential equations describing the systems are discretized only along the spatial coordinates while the time coordinate is unchanged. The book is based mostly on the author’s research work over the last 10 years. … The book is addressed to graduate and PhD students as well to scientists working in the field of mechanical, electrical and chemical engineering, control theory biomechanics etc.” (Tadeusz Kaczorek, Zentralblatt MATH, Vol. 1245, 2012)

Authors and Affiliations

  • , Department of Applied Mechanics, Budapest University of Technology and Ec, Budapest, Hungary

    Tamás Insperger, Gábor Stépán

About the authors

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

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation