Differential game for a class of warfare dynamic systems with reinforcement based on Lanchester equation

DOI10.1155/2014/837431zbMath1474.49084OpenAlexW2064833155WikidataQ57616246 ScholiaQ57616246MaRDI QIDQ1725099

Xiangyong Chen, Jianlong Qiu

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/837431

Mathematics Subject Classification ID

Differential games and control (49N70) Differential games (aspects of game theory) (91A23)

Related Items (1)

Attack‐defense differential game to strength allocation strategies generation

Cites Work

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• The control parameterization method for nonlinear optimal control: a survey
• Spatial Lanchester models
• Combat modelling with partial differential equations
• A nonlinear inverse Lanchester square law problem in estimating the force-dependent attrition coefficients
• Direct and inverse solution of the Lanchester square law with general reinforcement schedules
• An optimal control problem in determining the optimal reinforcement schedules for the Lanchester equations.
• Modeling and optimal control of a class of warfare hybrid dynamic systems based on lanchester \((n, 1)\) attrition model
• Optimal control computation for nonlinear systems with state-dependent stopping criteria
• Differential-game examination of optimal time-sequential fire-support strategies
• Lanchester-type models of warfare and optimal control
• A Verification of Lanchester's Law

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