Deterministic observation theory and applications [E-Book] / Jean-Paul Gauthier, Ivan Kupka.
Gauthier, Jean-Paul, (author)
Kupka, Ivan, (author)
Cambridge : Cambridge University Press, 2001
1 online resource (x, 226 pages)
englisch
9780511546648
9780521805933
9780521183864
Full Text
Table of Contents:
  • Systems under Consideration
  • What Is Observability?
  • The New Observability Theory Versus the Old Ones
  • Observability and Observers
  • Observability Concepts
  • Infinitesimal and Uniform Infinitesimal Observability
  • The Canonical Flag of Distributions
  • The Phase-Variable Representation
  • Differential Observability and Strong Differential Observability
  • The Trivial Foliation
  • Appendix: Weak Controllability
  • The Case d[subscript y] [less than or equal] d[subscript u]
  • Relation Between Observability and Infinitesimal Observability
  • Normal Form for a Uniform Canonical Flag
  • Characterization of Uniform Infinitesimal Observability
  • Complements
  • Proof of Theorem 3.2
  • The Case d[subscript y]] d[subscript u]
  • Definitions and Notations
  • Statement of Our Differential Observability Results
  • Proof of the Observability Theorems
  • Equivalence between Observability and Observability for Smooth Inputs
  • The Approximation Theorem
  • Complements
  • Singular State-Output Mappings
  • Assumptions and Definitions
  • The Ascending Chain Property
  • The Key Lemma
  • The ACP(N) in the Controlled Case
  • Globalization
  • The Controllable Case
  • Observers: The High-Gain Construction
  • Definition of Observer Systems and Comments
  • The High-Gain Construction
  • Dynamic Output Stabilization and Applications
  • Dynamic Output Stabilization
  • The Case of a Uniform Canonical Flag
  • The General Case of a Phase-Variable Representation
  • Complements
  • Applications
  • Binary Distillation Columns
  • Polymerization Reactors.