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Construction of Singular Surfaces in Linear Differential Games

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Advances in Dynamic Games and Applications

Part of the book series: Annals of the International Society of Dynamic Games ((AISDG,volume 6))

Abstract

The paper deals with an algorithm of construction and classification of singular surfaces in linear differential games with fixed terminal time and convex payoff function depending on two components of the phase vector. The main procedures of the algorithm are imbedded into the backward algorithm for building level sets of the value function. Examples of numerically calculated singular surfaces are represented.

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Kumkov, S.S., Parsko, V.S. (2001). Construction of Singular Surfaces in Linear Differential Games. In: Altman, E., Pourtallier, O. (eds) Advances in Dynamic Games and Applications. Annals of the International Society of Dynamic Games, vol 6. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0155-7_12

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  • DOI: https://doi.org/10.1007/978-1-4612-0155-7_12

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-6637-2

  • Online ISBN: 978-1-4612-0155-7

  • eBook Packages: Springer Book Archive

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