Modeling and optimal control of a class of warfare hybrid dynamic systems based on lanchester \((n, 1)\) attrition model

DOI10.1155/2014/481347zbMath1407.91214OpenAlexW2042866631WikidataQ57616254 ScholiaQ57616254MaRDI QIDQ1718492

Ancai Zhang, Xiangyong Chen

Publication date: 8 February 2019

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/481347

Mathematics Subject Classification ID

Differential games (aspects of game theory) (91A23) Applications of game theory (91A80) Other social and behavioral sciences (mathematical treatment) (91F99)

Related Items (2)

Attack‐defense differential game to strength allocation strategies generation ⋮ Differential game for a class of warfare dynamic systems with reinforcement based on Lanchester equation

Cites Work

• Spatial Lanchester models
• Combat modelling with partial differential equations
• 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.
• The Lanchester (n, 1) problem
• An Extension of the Lanchester Square Law to Inhomogeneous Forces with an Application to Force Allocation Methodology
• Differential-game examination of optimal time-sequential fire-support strategies
• The Lanchester square-law model extended to a (2,2) conflict
• Fitting Lanchester equations to the battles of Kursk and Ardennes
• Lanchester-type models of warfare and optimal control
• A Verification of Lanchester's Law

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