Differential game for a class of warfare dynamic systems with reinforcement based on Lanchester equation
type: Item
instance of: scholarly article
title: Differential game for a class of warfare dynamic systems with reinforcement based on Lanchester equation
zbMATH Open document ID: 1474.49084
DOI: 10.1155/2014/837431
author: Xiangyong Chen
author: Jianlong Qiu
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: This paper concerns the optimal reinforcement game problem between two opposing forces in military conflicts. With some moderate assumptions, we employ Lanchester equation and differential game theory to develop a corresponding optimization game model. After that, we establish the optimum condition for the differential game problem and give an algorithm to obtain the optimal reinforcement strategies. Furthermore, we also discuss the convergence of the algorithm. Finally, a numerical example illustrates the effectiveness of the presented optimal schemes. Our proposed results provide a theoretical guide for both making warfare command decision and assessing military actions.
Mathematics Subject Classification ID: 49N70
Mathematics Subject Classification ID: 91A23
zbMATH DE Number: 7023169
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/837431
OpenAlex ID: W2064833155
Wikidata QID: Q57616246
cites work: A Verification of Lanchester's Law
cites work: Lanchester-type models of warfare and optimal control
cites work: Combat modelling with partial differential equations
cites work: Spatial Lanchester models
cites work: Direct and inverse solution of the Lanchester square law with general reinforcement schedules
cites work: An optimal control problem in determining the optimal reinforcement schedules for the Lanchester equations.
cites work: A nonlinear inverse Lanchester square law problem in estimating the force-dependent attrition coefficients
cites work: Q5331036
cites work: Differential-game examination of optimal time-sequential fire-support strategies
cites work: Modeling and optimal control of a class of warfare hybrid dynamic systems based on lanchester \((n, 1)\) attrition model
cites work: Q3076649
cites work: Optimal control computation for nonlinear systems with state-dependent stopping criteria
cites work: The control parameterization method for nonlinear optimal control: a survey
description: scientific article; zbMATH DE number 7023169