Stability, Control, and Computation for Time-Delay Systems
Stability, Control, and Computation for Time-Delay Systems
Silviu-Iulian Niculescu, Centre National de la Recherche Scientifique (CNRS), Paris
Time delays are important components of dynamical systems, whether in engineering, physics, economics, or the life sciences. Through a unifying eigenvalue-based framework, this monograph presents an overall solution to stability analysis, stabilization, and the robust fixed-order control problem for time-delay systems. The authors offer a range of both analytical methods and numerical algorithms, applicable to a broad class of linear time-delay systems that includes retarded- as well as neutral-type systems. Integrating leading-edge research from control theory, optimization, numerical linear algebra and bifurcation analysis, this book has high relevance across systems and control theory, computer science, applied mathematics and computational mathematics alike. New to this edition is the inclusion of both retarded-type and neutral-type systems; a broader scope of solution includes not only stabilization but the design of robust and optimal controllers; while an increased range of applications from electrical engineering to biology showcases the effectiveness and generality of the solution more effectively.
- Makes the leap from stabilization to the design of robust and optimal controllers and from retarded-type to neutral-type delay systems
- Includes new, state-of-the-art material on numerical methods and algorithms
- An increased quantity and range of applications illustrates the effectiveness of the authors' approach
Product details
No date availablePaperback
9781611973624
460 pages
255 × 178 × 20 mm
0.83kg
Table of Contents
- Preface to the second edition
- Preface to the first edition
- List of symbols
- Acronyms
- Part I. Stability Analysis of Linear Time-Delay Systems
- 1. Spectral properties of linear time-delay systems
- 2. Computation of characteristic roots
- 3. Pseudospectra and robust stability analysis
- 4. Computation of H2 and H∞ norms
- 5. Computation of stability regions in parameter spaces
- 6. Stability regions in delay-parameter spaces
- Part II. Stabilization and Robust Fixed-Order Control:
- 7. Stabilization using a direct eigenvalue optimization approach
- 8. Stabilizability with delayed feedback: a numerical case study
- 9. Optimization of H∞ norms
- Part III. Applications:
- 10. Output feedback stabilization using delays as control parameters
- 11. Smith predictor for stable systems: delay sensitivity analysis
- 12. Controlling unstable systems using finite spectrum assignment
- 13. Congestion control algorithms in networks
- 14. Consensus problems with distributed delays, with traffic flow applications
- 15. Synchronization of delay-coupled oscillators
- 16. Stability analysis of delay models in biosciences
- Appendix
- Bibliography
- Index.
