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On a Single-Type Differential Game with a Non-convex Terminal Set

  • Igor’ V. Izmest’evEmail author
  • Viktor I. Ukhobotov
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 11548)

Abstract

We consider the problem of controlling a rod attached to a rotor. A rotating flywheel is attached to one end of the rod. The rotor is controlled by the first player. The flywheel is controlled by the second player. The goal of the first player is to bring the rotor to a vertical position at a given time. The goal of the second player is the opposite. This problem is an example of a more general linear differential game with a one-dimensional aim. Using a linear change of variables, this problem is reduced to a single-type one-dimensional differential game with a non-convex terminal set, for which we have found the necessary and sufficient conditions of termination and constructed the corresponding controls of the players.

Keywords

Control Differential game Terminal set Flywheel 

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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Chelyabinsk State UniversityChelyabinskRussia

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