AMS eBook CollectionsOne of the world's most respected mathematical collections, available in digital format for your library or institution
Controllability, stabilization and the regulator problem for random differential systems
About this Title
Russell Johnson and Mahesh Nerurkar
Publication: Memoirs of the American Mathematical Society
Publication Year:
1998; Volume 136, Number 646
ISBNs: 978-0-8218-0865-8 (print); 978-1-4704-0235-8 (online)
DOI: https://doi.org/10.1090/memo/0646
MathSciNet review: 1445491
MSC: Primary 93B05; Secondary 34F05, 34H05, 93D15, 93E03
Table of Contents
Chapters
- 0. Introduction
- 1. Basic dynamical notions
- 2. Random linear control processes
- 3. Some facts about random linear systems
- 4. Sufficiency conditions for uniform controllability
- 5. Dependence of controllability on the dynamics of the flow
- 6. Global null controllability
- 7. The feedback stabilization problem for random linear systems
- 8. The rotation number
- 9. The solution of the linear regulator and the stabilization problem
- 10. Linearization of the regulator and the stabilization problem