Stability and Stabilization of Time-Delay Systems：An Eigenvalue-Based Approach

With examples from electrical and mechanical engineering, biology and complex network analysis, researcher Michiels (computer science, Katholieke U., Leuven) and practitioner Niculescu explain how to apply stability analysis and the stabilization of dynamical systems to time delays. They cover a range of concepts and methods, including spectral properties of linear time-delay systems, pseudospectra and robust stability analysis, computation of stability regions in parameter spaces, stability regions in delay-parameter spaces, stability of delay rays and delay-interference, stability of linear periodic systems with delays, the continuous pole placement method, the robust stabilization problem, and stabilization using a direct eigenvalue optimization approach. Their applications include single delay, multiple delay, congestion control algorithms in networks, delay sensitivity analysis, control of unstable systems, consensus problems in traffic flow, and the stability analysis of delay models in bioscience. Annotation c2008 Book News, Inc., Portland, OR (booknews.com)

Wim Michiels is a Postdoctoral Fellow of the Fund for Scientific Research-Flanders at the Department of Computer Science of K.U.Leuven. He is the author of, among other published works, over 30 articles in international journals and has edited Time-Delay Systems 2004 (Elsevier Science, 2005). His research interests include control and optimization, dynamical systems, numerical linear algebra, and scientific computing. His research has focused on the analysis and control of systems described by functional differential equations, with applications to problems from engineering and life sciences.Silviu-Iulian Niculescu is a CNRS Senior Researcher at L2S (Laboratory of Signals and Systems), Gif-sur-Yvette, France. He is the author of Delay Systems: Qualitative Aspects on the Stability and Stabilization (Diderot, 1997) and Delay Effects on Stability: A Robust Control Approach (Springer, 2001). He has also written more than 225 book chapters or scientific papers and is the co-editor of four volumes. His research interests include delay systems, robust control, operator theory, and numerical methods in optimization and their applications to the design of engineering systems.