Cone-Bounded Nonlinearities and Mean-Square Bounds--Smoothing and Prediction Bounds.

Abstract

Mean-square performance bounds are derived for smoothing and prediction problems associated with a class of nonlinear dynamic systems. The systems considered are partially-observed finite dimensional continuous-time stochastic processes driven by additive white Gaussian noise. The particular systems to which the bounds apply are those which, when modeled by Ito differential equations, contain drift (.dt) coefficients which are, to within a uniformly Lipschitz residual, jointly linear in the system state and externally applied control. All the bounds are rigorously derived and independent of control or control law.

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1974
Accession Number
ADA004171

Entities

People

  • I. B. Rhodes
  • K. P. Dunn

Organizations

  • University of Washington

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Additives (Chemicals)
  • Coefficients
  • Cooperation
  • Differential Equations
  • Equations
  • Gaussian Noise
  • Massachusetts
  • Mathematical Analysis
  • Mathematics
  • Noise
  • Partial Differential Equations
  • Real Variables
  • Residuals
  • Stochastic Processes

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Mathematical Modeling and Probability Theory.