Stability, control, and computation for time-delay systems: an eigenvalue-based approach

by Michiels, W., (Wim)

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Title Statements

Full title :Stability, control, and computation for time-delay systems : an eigenvalue-based approach / Wim Michiels, Katholieke Universiteit Leuven, Heverlee, Belgium, Silviu-Iulian Niculescu, Laboratoire des Signaux et Systèmes, Gif-sur-Yvette, France.

Summary

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. 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.

Edition Statements

Publication Date:2015.
Edition:Second edition

Publication Statements

Publisher(s):Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104)
Place of Publication:Philadelphia, Pennsylvania
Language:eng
Publication Date:2015.

Notes

Revised edition of: Stability and stabilization of time-delay systems.

Title from title screen, viewed 11/11/2014.

The Physical Object

Description:1 online resource (xxiv, 435 pages)

Edition Identifiers

ISBN:9781611973631, 1611973635
oclc:ocn896212556
LC Classification:TJ213
Dewey Decimal:629.8/3

Preface to the second edition -- Preface to the first edition -- Stability analysis of linear time-delay systems -- Spectral properties of linear time-delay systems -- Computation of characteristic roots -- Pseudospectra and robust stability analysis -- Computation of H2 and H[infinity] norms -- Computation of stability regions in parameter spaces -- Stability regions in delay-parameter spaces -- Stabilization and robust fixed-order control -- Stabilization using a direct Eigenvalue optimization approach -- Stabilizability with delayed feedback : a numerical case study -- Optimization of H[infinity] norms -- Applications -- Output feedback stabilization using delays as control parameters -- Smith predictor for stable systems : delay sensitivity analysis -- Controlling instable systems using finite spectrum assignment -- Congestion control algorithms in networks -- Consensus problems with distributed delays, with traffic flow applications -- Synchronization of delay-coupled oscillators -- Stability analysis of delay models in biosciences -- Appendix -- Bibliography -- Index.