Analytic Curve Frequency-Sweeping Stability Tests for Systems with Commensurate Delays

Introduction to the Stability of Time-Delay Systems.- Introduction to Analytic Curves.- Analytic Curve Perspective for Time-Delay Systems.- Computing Puiseux Series for a Critical Pair.- Invariance Property: A Unique Idea for Complete Stability Analysis.- Invariance Property for Critical Imaginary Roots (CIRs) with Index g = 1.- Invariance Property for Critical Imaginary Roots with Index n = 1.- Invariance Conjecture and Frequency-Sweeping Framework.- Complex Stability for Time-Delay Systems: A Unified Approach.- Extension to Neutral Time-Delay Systems.- Concluding Remarks and Further Perspectives.

Silviu-Iulian Niculescu was born in Petrosani, Romania in 1968. He received the B.S. degree from the Polytechnical Institute of Bucharest, Romania, the M.Sc. and Ph.D. degrees, both in Automatic Control, from the Institut National Polytechnique de Grenoble, France and the "Habilitation à Diriger des Recherches" (HDR) in Automatic Control from Université de Technologie de Compiègne, in 1992, 1993, 1996 and 2003, respectively. From 1992 to 1997, he was with the Department of Automatic Control and Computers, University "Politehnica" Bucharest, Romania. From 1997 to 2006, he was with HEUDIASYC ("Heuristics and diagnosis of complex systems") laboratory, Compiègne, France as a Researcher at CNRS (French National Center for Scientific Research). He also held a PostDoctoral position in the Department of Applied Mathematics, ENSTA, Paris, France, from 1996 to 1997. In September 2006, he joined L2S (Laboratory of Signals and Systems), Gif-sur-Yvette, where he is currently Research Director ("Senior Researcher") at CNRS and head of the laboratory. He is the single author of two books: delay systems. Qualitative aspects on the stability and stabilization (Diderot: Paris, 1997; in French) and Delay effects on stability. A robust control approach (Springer: Heidelberg, LNCIS, vol. 269, 2001; in English), co-author of one book (with Wim Michiels) entitled Stability and stabilization of time-delay systems. An eigenvalue-based approach (SIAM: Philadelphia, USA, 2007) and co-editor of five volumes (SIAM, 1999; Pergamon Press, 2001; Springer 2004; Springer 2007; Springer 2009). He is author or co-author of more than 300 book chapters or scientific papers. He has been the IPC Chairman of the 3rd IFAC Workshop on Time-Delay Systems (Santa Fe, NM, USA, December 2001) and of the 8th IFAC Workshop on Time-Delay Systems (Sinaia, Romania, September 2009) and the main organizer or co-organizer of the 1st CNRS-NSF Workshop on Time-Delay Systems (Paris: La Défense, January 2003) and of the 23rd