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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: http://dx.doi.org/10.1090/memo/0646
MathSciNet review: 1445491
MSC (1991): Primary 93B05; Secondary 34F05, 34H05, 93D15, 93E03

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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