Idempotent Methods for Continuous Time Nonlinear Stochastic Control

Abstract

The recent successes of max-plus and more general idempotent structures for attacking nonlinear control problems offer the potential for revolutionary improvements in our ability to design and implement nonlinear controls for real applications. This effort has focused on theoretical foundations for the application of max-plus arithmetic in stochastic settings, as well as numerical methods of approximation. In addition, a number of related issues in stochastic control have been considered. One problem of particular interest has been in the stability of estimation in stochastic adaptive control, and another has been in max-plus approaches for sensing, especially distributed sensing.

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Document Details

Document Type
Technical Report
Publication Date
Sep 13, 2012
Accession Number
ADA580394

Entities

People

  • Ben G. Fitzpatrick

Organizations

  • Stochastech Corporation

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Arithmetic
  • Computational Science
  • Computer Programming
  • Differential Equations
  • Dynamic Programming
  • Equations
  • Estimators
  • High Energy
  • High Energy Lasers
  • Laser Applications
  • Mathematics
  • Probability
  • Random Variables
  • Standards
  • Stochastic Control
  • Transfer Functions

Readers

  • Calculus or Mathematical Analysis
  • Distributed Systems and Data Platform Development
  • Underwater engineering and Marine Technology.