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.

Format:

Book

Author/Creator:

Michiels, W. (Wim), author.

Niculescu, Silviu-Iulian, author.

Contributor:

Society for Industrial and Applied Mathematics, publisher.0.

Series:

Advances in design and control.

Advances in design and control

Standardized Title:

Stability and stabilization of time-delay systems

Language:

English

Subjects (All):

Automatic control.

Time delay systems.

Stability.

Eigenvalues.

Physical Description:

1 PDF (xxiv, 435 pages).

Edition:

Second edition.

Place of Publication:

Philadelphia, Pennsylvania : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), 2015.

Language Note:

English

System Details:

Mode of access: World Wide Web.

System requirements: Adobe Acrobat Reader.

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.

Contents:

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.

Notes:

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

Includes bibliographical references and index.

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

ISBN:

1-61197-363-5

OCLC:

896212556

Publisher Number:

DC27 SIAM