Stability and Stabilization of Time-delay Systems
An Eigenvalue-based Approach
Stability and Stabilization of Time-delay Systems by Wim Michiels
Book DescriptionTime-delays are important components of many dynamical systems that describe coupling or interconnection between dynamics, propagation, or transport phenomena in shared environments, in heredity, and in competition in population dynamics. This monograph addresses the problem of stability analysis and the stabilisation of dynamical systems subjected to time-delays. It presents a wide and self-contained panorama of analytical methods and computational algorithms using a unified eigenvalue-based approach illustrated by examples and applications in electrical and mechanical engineering, biology, and complex network analysis. This text bridges the fields of control (analysis and feedback design, robustness, and uncertainty) and numerical analysis (explicit algorithms, and methods). The authors provide an overall solution to the (robust) stability analysis and stabilisation problem of linear time-delay systems, which is the result of this cross-fertilisation of control theory, numerical linear algebra, numerical bifurcation analysis and optimisation.
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Book DetailsISBN: 9780898716320
(247mm x 174mm x 20mm)
Imprint: Society for Industrial & Applied Mathematics,U.S.
Publisher: Society for Industrial & Applied Mathematics,U.S.
Publish Date: 21-Feb-2008
Country of Publication: United States
Books By Author Wim Michiels
Stability, Control, and Computation for Time-Delay Systems, Paperback (November 2015)» View all books by Wim Michiels
A monograph on numerical and analytical methods applicable to time delays in dynamical systems, with applications from engineering to biology.
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Author Biography - Wim Michiels
Wim Michiels is a Postdoctoral Fellow of the Fund for Scientific Research-Flanders at the Department of Computer Science of the K.U. Leuven. Silviu-Iulian Niculescu is the Research Director at CNRS L2S (Laboratory of Signals and Systems), Gif-sur-Yvette, France.
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