Stability, Control, and Computation for Time-Delay Systems

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.