By Shiming Duan, Last Update: 8/21/2010 3:13 PM

Supplement for "TIME-DELAY SYSTEMS - Analysis and Control Using the Lambert W Function", by Sun Yi, P. W. Nelson, A. G. Ulsoy, World Scientific Publishing Co., 2010

The aim of this website is to provide supplemental materials for the book "Time-Delay Systems - Analysis and Control Using the Lambert W Function". The book is a research monograph. The intent of this website is to provide supplemental materials that will also make the book suitable for use as a textbook for a course in time delay systems at the beginning graduate level or advanced undergraduate level. Various examples, Matlab programs and comments are provided to help readers understand and apply the methods introduced in the book. The material below is organized by the chapters in the book.

− Shiming Duan

Table of Contents

I. Introduction

II. Solution of Systems of DDEs via the Matrix Lambert W Function

III. Stability of Systems of DDEs via the Lambert W Function

IV. Controllability and Observability of Systems of DDEs

V. Eigenvalue Assignment via the Lambert W Function for Control of Time-Delay Systems

VI. Robust Control and Time-Domain Specifications for Systems of DDES via Eigenvalue Assignment

VII. Design of Observer-Based Feedback Control and Applications

VIII. Eigenvalues and Sensitivity Analysis with Application to Modeling of HIV Pathogenesis

Appendix: Matlab Toolbox and Manual

Errata for the Book