Improved Techniques for Modeling and Controlling Nonlinear Systems with Few Degrees of Freedom

Abstract

New nonlinear signal processing and modeling techniques were examined. The key issues which formed the focus of the project were the incorporation of symmetries into the modeling process. Such symmetires might be deduced from fundamental principles, or inferred from observations. The incorporation of such symmetries leads to simpler, more robust models, with fewer free parameters. The design of coupling terms for synchronizing the model with driving signals from the system of interest. This is the first analytical result of its kind, and gives sufficient conditions for guaranteeing that the model will synchronize. The development of a basic theory of symbolic time series analysis for Markov systems, the use of symbolic methods to extract correlation timescales and to detect masked periodic signals.

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Document Details

Document Type
Technical Report
Publication Date
Jun 25, 1997
Accession Number
ADA332494

Entities

People

  • E. R. Tracy
  • Reggie Brown

Organizations

  • College of William & Mary

Tags

Communities of Interest

  • Air Platforms
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Chemical Reactions
  • Combustion
  • Data Sets
  • Differential Equations
  • Engines
  • Equations
  • Fittings
  • Internal Combustion Engines
  • New York
  • Nonlinear Systems
  • Observation
  • Physical Properties
  • Physics
  • Spark Ignition
  • Statistics
  • Symmetry
  • Time Series Analysis

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Applied Combinatorial Optimization and Logic Circuit Design.
  • Computational Modeling and Simulation

Technology Areas

  • AI & ML
  • AI & ML - Bayesian Inference