Estimation of a Guaranteed Result in Nonlinear Differential Games of Encounter

  • A. G. Pashkov
Part of the Progress in Systems and Control Theory book series (PSCT, volume 9)


A nonlinear differential game of encounter is considered. Estimation of the function of a guaranteed result (u — stable function) is proposed. The problem is considered in the framework of formalization [1, 2].

The paper is related to the works done in [3–16]. It is assumed that Hamiltonians of initial (nonlinear) and auxiliary systems are connected by special relationships. Unlike [11,12], in this paper the u-stable function for the auxiliary system is nondifferentiable. Conditions imposed on the connection between Hamiltonians of initial and auxiliary systems are not so severe as they were in [13].

An example, where the function of the guaranteed result is constructed by means of proposed approach is given.


Viscosity Solution Lipschitz Condition Differential Game Auxiliary System Guarantee Result 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer Science+Business Media New York 1991

Authors and Affiliations

  • A. G. Pashkov
    • 1
  1. 1.Institute for Problems of MechanicsUSSR Academy of SciencesMoscowUSSR

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