Mathematical Control Theory: An Introduction

Preface.- Preface to the second edition.- Introduction.- Part I. Elements of Classical Control Theory.- Chapter 1. Controllability and Observability.- Chapter 2. Stability and Stabilizability.- Chapter 3. Controllability with Vanishing Energy.- Chapter 4. Systems with Constraints.- Chapter 5. Realization Theory.- Part II. Nonlinear Control Systems.- Chapter 6. Controllability and Observability of Nonlinear Systems.- Chapter 7. Stability and Stabilizability.- Chapter 8. Realization Theory.- Part III. Optimal Control.- Chapter 9. Dynamic Programming.- Chapter 10. Viscosity Solutions of Bellman Equations.- Chapter 11. Dynamic Programming for Impulse Control.- Chapter 12. The Maximum Principle.- Chapter 13. The Existence of Optimal Strategies.- Part IV. Infinite-Dimensional Linear Systems.- Chapter 14. Linear Control Systems.- Chapter 15. Controllability.- Chapter 16. Stability and Stabilizability.- Chapter 17. Linear Regulators in Hilbert Spaces.- Chapter 18. Boundary Control Systems.- Appendix.- References.- Notations.- Index.