Stochastic Estimation in Combined Arms Lanchester Modeling of Warfare.

Abstract

Deterministic Lanchester models of warfare with time dependent attrition coefficients has received extensive study. There does not appear to be any analytical effort to incorporate observations of the battlefield into Lanchester models. This is very surprising when one considers the vast amount of effort going on in developing techniques for observing events on the battlefield and integrating intelligence in a fusion center. In addition, no analytical work appears to have incorporated uncertainties in the model itself. The objective of this paper is to develop a general methodology, using stochastic estimation theory as practiced in modern control theory, for predicting conditions on the battlefield from measurements or observations of the battle area that are themselves uncertain and where the parameters of the mathematical model are not known precisely. Examples are also provided to show how the general theory can be applied to two specific problems. Keywords: Kalman Bucy filters.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1985
Accession Number
ADA165219

Entities

People

  • Herbert E. Cohen

Organizations

  • United States Army Materiel Systems Analysis Activity

Tags

DTIC Thesaurus Topics

  • Army
  • Attrition
  • Battlefields
  • Battles
  • Control Theory
  • Differential Equations
  • Equations
  • Equations Of State
  • Filters
  • Kalman Filters
  • Land Warfare
  • Mathematical Models
  • Riccati Equation
  • Steady State
  • Systems Analysis
  • Warfare
  • White Noise

Readers

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