Cone-Bounded Nonlinearities and Mean-Square Bounds - Estimation Lower Bound.

Abstract

This paper is the second in a series of three in which performance bounds are derived for causal state estimation and regulation problems employing mean square criteria. 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.

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1974
Accession Number
ADA004170

Entities

People

  • Alfred S. Gilman
  • Ian B. Rhodes

Organizations

  • University of Washington

Tags

DTIC Thesaurus Topics

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

Fields of Study

  • Mathematics

Readers

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