Overview
- 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)
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Table of contents (5 chapters)
Keywords
About this book
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
About the authors
Bibliographic Information
Book Title: Semi-Discretization for Time-Delay Systems
Book Subtitle: Stability and Engineering Applications
Authors: Tamás Insperger, Gábor Stépán
Series Title: Applied Mathematical Sciences
DOI: https://doi.org/10.1007/978-1-4614-0335-7
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media, LLC 2011
Hardcover ISBN: 978-1-4614-0334-0Published: 15 July 2011
Softcover ISBN: 978-1-4614-3013-1Published: 15 August 2013
eBook ISBN: 978-1-4614-0335-7Published: 15 July 2011
Series ISSN: 0066-5452
Series E-ISSN: 2196-968X
Edition Number: 1
Number of Pages: X, 174
Topics: Dynamical Systems and Ergodic Theory, Control and Systems Theory, Mechanical Engineering, Applications of Mathematics