Deterministic observation theory and applications /
[Book]
Jean-Paul Gauthier, Ivan Kupka.
New York :
Cambridge University Press,
2001.
x, 226 p. :
ill. ;
24 cm.
Includes bibliographical references (p. 217-220) and index.
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.