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Stability, Control, and Computation for Time-Delay Systems: An Eigenvalue-Based Approach, Second Edition

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by Wim Michiels and Silviu-Iulian Niculescu


2014 / xxiv + 435 pages / Softcover / ISBN: 978-1-611973-62-4 / List Price $121.50 / SIAM Member Price $85.05 / Order Code DC27

Keywords: Delay, eigenvalue analysis, control, computational mathematics, dynamical systems.

Preface to the Second Edition
Preface to the First Edition

This second edition replaces Stability and Stabilization of Time-Delay Systems: An Eigenvalue-Based Approach (DC12, ISBN: 978-0-898716-32-0), which is no longer available.

Time delays are important components of many systems in, for instance, engineering, physics, economics, and the life sciences, because the transfer of material, energy, and information is usually not instantaneous. Time delays may appear as computation and communication lags, they model transport phenomena and heredity, and they arise as feedback delays in control loops. This monograph addresses the problem of stability analysis, stabilization, and robust fixed-order control of dynamical systems subject to delays, including both retarded- and neutral-type systems. Within the eigenvalue-based framework, an overall solution is given to the stability analysis, stabilization, and robust control design problem, using both analytical methods and numerical algorithms and applicable to a broad class of linear time-delay systems.

In this revised edition, the authors,

  • make the leap from stabilization to the design of robust and optimal controllers and from retarded-type to neutral-type delay systems, thus enlarging the scope of the book within control;
  • include new, state-of-the-art material on numerical methods and algorithms to broaden the book’s focus and to reach additional research communities, in particular numerical linear algebra and numerical optimization; and
  • increase the number and range of applications to better illustrate the effectiveness and generality of their approach.

Engineers, researchers, and graduate students in control and systems engineering, as well as computational and applied mathematicians, will find this book of great interest. It will also be of value to undergraduate and graduate students and laboratory researchers.

About the Authors
Wim Michiels is an associate professor at KU Leuven, where he leads a research team within the Numerical Analysis and Applied Mathematics Division. He has coauthored more than 75 journal papers in the areas of control and optimization and computational and applied mathematics, coauthored the monograph Stability and Stabilization of Time‐Delay Systems: An Eigenvalue-Based Approach (SIAM, 2007), and coedited three other books. He is a member of the IFAC Technical Committee on Linear Control Systems and associate editor of the journals Systems and Control Letters and IEEE Transactions on Automatic Control. His research interests include control and optimization, dynamical systems, numerical linear algebra, and scientific computing. His work focuses on the analysis and control of systems described by functional differential equations and on large‐scale linear algebra problems, with applications in engineering and the biosciences.

Silviu‐Iulian Niculescu is senior researcher at CNRS at the Laboratory of Signals and Systems (L2S), CNRS‐Supélec, Gif‐sur‐Yvette, France. In 2006 he joined the L2S, which he has headed since January 2010. He is the coauthor of more than 400 book chapters, journal papers, and communications in international conferences, has coauthored five books, and is coeditor of six multiauthor volumes. He was an associate editor of the journal IEEE Transactions on Automatic Control (2003–2005). He was awarded the CNRS Bronze and Silver Medals for scientific research in 2001 and 2011, respectively. His research interests include delay systems, robust control, operator theory, and numerical methods in optimization and their applications to the design of engineering systems.


ISBN: 9781611973624
ISBN: 9780898716320 (1e)

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