Stationary Point Processes and Applications to Communications and Control.

Abstract

The areas of research include Closed loop control systems with randomly timed sampling within the feedback loop; the development of a logarithmic stability condition for scalar feedback systems whose open loop behavior is described by casual weighting functions; the analysis of stability for discrete-time stochastic systems (including randomly sampled control systems) which can be obtained without searching for a stochastic Lyapunov function; the analysis of simple and practical techniques for the recovery of signals from samples taken at random intervals; the comparison of the mean square errors of one and two samples taken at random intervals with those attained by causal (extrapolating) and non-causal (interpolating) Wiener-Kolmogorov optimal filters; and, the analysis of the martingale approach to stochastic point process theory. (Modified author abstract)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1973
Accession Number
AD0766850

Entities

People

  • Frederick J. Beutler

Organizations

  • University of Michigan

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Abstracts
  • Closed Loop Systems
  • Control Systems
  • Feedback
  • Intervals
  • Lyapunov Functions
  • Recovery
  • Sampling
  • Stability Conditions
  • Stationary
  • Weighting Functions

Fields of Study

  • Mathematics

Readers

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