β Scribed by Emilia Fridman (auth.)
No coin nor oath required. For personal study only.
The beginning of the 21st century can be characterized as theβ time-delay boomβ leading to numerous important results. The purpose of this book is two-fold, to familiarize the non-expert reader with time-delay systems and to provide a systematic treatment of modern ideas and techniques for experts. This book is based on the course βIntroduction to time-delay systemsβ for graduate students in Engineering and Applied Mathematics that the author taught in Tel Aviv University in 2011-2012 and 2012-2013 academic years. The sufficient background to follow most of the material are the undergraduate courses in mathematics and an introduction to control. The book leads the reader from some basic classical results on time-delay systems to recent developments on Lyapunov-based analysis and design with applications to the hot topics of sampled-data and network-based control. The objective is to provide useful tools that will allow the reader not only to apply the existing methods, but also to develop new ones. It should be of interest for researchers working in the field, for graduate students in engineering and applied mathematics, and for practicing engineers. It may also be used as a textbook for a graduate course on time-delay systems.
Front Matter....Pages i-xviii
Introduction....Pages 1-22
Linear TDSs....Pages 23-49
Lyapunov-Based Stability Analysis....Pages 51-133
Performance Analysis of TDSs....Pages 135-198
Control Design for TDSs....Pages 199-242
Discrete-Time Delay Systems....Pages 243-272
Sampled-Data and NCSs: A Time-Delay Approach....Pages 273-349
Back Matter....Pages 351-362
Systems Theory, Control; Control; Appl.Mathematics/Computational Methods of Engineering
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