Observability of Systems with Complicated Dynamics

Abstract

Significant advances have been made in understanding the observability problem for systems with chaotic or otherwise complicated dynamics. Rigorous connections have been established between the theory of stochastic noise and observations of deterministic dynamical systems which are chaotic or otherwise display a complicated dynamical structure. New techniques have been developed for implementing state estimation of chaotic dynamical systems in the presence of observational noise. A general sufficient condition has been established for the observability of a benchmark class of chaotic dynamical systems, the Anosov diffeomorphisms.

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Document Details

Document Type
Technical Report
Publication Date
Oct 23, 1990
Accession Number
ADA229004

Entities

People

  • Thomas J. Taylor

Organizations

  • Arizona State University

Tags

Communities of Interest

  • Autonomy

DTIC Thesaurus Topics

  • Analytic Functions
  • Computations
  • Differential Equations
  • Dynamics
  • Electrical Engineering
  • Engineering
  • Equations
  • Filtration
  • Frequency Response
  • Mathematical Filters
  • Mathematics
  • Noise
  • Observation
  • Partial Differential Equations
  • Probability
  • Stochastic Processes
  • Universities

Fields of Study

  • Physics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Wave Propagation and Nonlinear Chaotic Dynamics.