Stability and Stabilization of Time-Delay Systems
An Eigenvalue-Based Approach
£75.00
Part of Advances in Design and Control
- Authors:
- Wim Michiels, Katholieke Universiteit Leuven, Belgium
- Silviu-Iulian Niculescu, Centre National de la Recherche Scientifique (CNRS), Paris
- Date Published: February 2008
- availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
- format: Paperback
- isbn: 9780898716320
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Time-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.
Read more- Presents a unifying, eigenvalue based approach
- Demonstrates a large potential for handling biological models, networks and engineering applications
- Uses a cross-fertilisation of results from control theory, numerical linear algebra, numerical bifurcation analysis and optimisation
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×Product details
- Date Published: February 2008
- format: Paperback
- isbn: 9780898716320
- length: 400 pages
- dimensions: 254 x 178 x 20 mm
- weight: 0.67kg
- availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
Table of Contents
Preface
List of symbols
List of abbreviations
Part I. Stability Analysis of Linear Time-Delay Systems:
1. Spectral properties of linear time-delay systems
2. Pseudospectra and robust stability analysis
3. Computation of stability regions in parameter spaces
4. Stability regions in delay-parameter spaces
5. Delays ratio sensitivity and interference
6. Stability of linear periodic systems with delays
Part II. Stabilization and Robust Stabilization:
7. The continuous pole placement method
8. Stabilizability with delayed feedback: a numerical case-study
9. The robust stabilization problem
10. Stabilization using a direct eigenvalue optimization approach
Part III. Applications:
11. Output feedback stabilization: the single delay case
12. Output feedback stabilization: the multiple delay case
13. Congestion control algorithms in networks
14. Smith predictor for stable systems: delay sensitivity analysis
15. Controlling unstable systems using finite spectrum assignment
16. Consensus problems in traffic flow applications
17. Stability analysis of delay models in biosciences
A. Appendices
Bibliography
Index.
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