A Survey of Probabilistic Methods for Dynamical Systems with Uncertain Parameters.

Abstract

The purpose of this report is to present a survey of techniques that are available for studying the effect of random parameters on the response characteristics of linear dynamical parameters on the response characteristics of linear dynamical systems. The report is directed towards the properties of the solutions of ordinary linear differential equations with random parameters. Both time independent (constant) random parameters, and time varying parameter systems are discussed. The motivation is the study of structures with random parameters. Keywords: Stochastic process; Random vibrations; Structural response; Random parameters; Uncertain systems; Perturbation; and White nose coefficients. (Author)

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1986
Accession Number
ADA172562

Entities

People

  • F. Kozin
  • J. L. Bogdanoff

Tags

Communities of Interest

  • Energy and Power Technologies
  • Space

DTIC Thesaurus Topics

  • Applied Mathematics
  • Computational Fluid Dynamics
  • Computational Science
  • Computer Simulations
  • Control Systems
  • Differential Equations
  • Fokker Planck Equations
  • Linear Differential Equations
  • Mechanics
  • Monte Carlo Method
  • Probabilistic Models
  • Probability Distributions
  • Random Variables
  • Resonant Frequency
  • Stochastic Processes
  • Surveys
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Systems Analysis and Design