UDC 517.9
1 Kharkiv National University of Radio Electronics, Kharkiv, Ukraine
 lara@rutrus.com
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4 V.M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine
chik@insyg.kiev.ua
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ON A DESCRIPTOR PURSUIT GAME
Abstract. A pursuit differential game in a descriptor system is analyzed.
The evolution of the system is described by a linear differential algebraic equation.
Solutions of the equation are presented with the help of the formula of variation
of constants by the initial data and the control block. We use the technique of set-valued mappings
and their selectors, as well as constraints on the functionals defined by the behaviors of the pursuer and evader.
The paper contains examples to illustrate the differential game in radio engineering systems. In particular,
conflict-controlled transient states in forth-order filters are analyzed.
Keywords: descriptor system, differential algebraic equation, differential game, radio technical filter.
FULL TEXT
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