Guidance game problems for linear integro-differential systems of Volterra type with control action under the integral sign
Authors
Vladimir Leonidovich Pasikov
Orsk branch of the Orenburg State Institute of Management
Keywords:
integro-differential system, guidance problem, control action, program maximin, game position
Abstract
The paper is focused on pursuit-evasion game situations for controlled dynamic objects, the development of which is described by linear integro-differential and integral systems of Volterra type with control action under the integral sign. As a result, the control system has new essential features that are not obtained by traditional controlled differential systems. The author formulates a new definition of game position, the calculation of which requires the total memory of control action in a moment of aiming. Well-known extreme constructions by an academician N.N. Krasovsky modified by the author are used to solve these problems.
Author Biography
Vladimir Leonidovich Pasikov, Orsk branch of the Orenburg State Institute of Management
Cand. Sc. (Physics and Mathematics), Associate Professor, Department of Natural and Mathematical Disciplines
