Multi-level defense system models: overcoming by means of attacks with several phase constraints


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Abstract

The Germeyer “defense–attack” model is modified to allow for an echeloned defence system in a given direction. The model is a special case of the terminal-type discrete optimal control problem, and it can be solved using the subgradient-descent method. The posed control problem refines the resource level-distribution problem for a given direction, counting more general constraints with allowance for the action abilities of defense tools at various borders.

About the authors

I. A. Lesik

Faculty of Applied Mathematics and Cybernetics

Author for correspondence.
Email: lesik56@mail.ru
Russian Federation, Tver’, 170100

A. G. Perevozchikov

Faculty of Computational Mathematics and Cybernetics

Email: lesik56@mail.ru
Russian Federation, Moscow, 119991

V. Y. Reshetov

Faculty of Computational Mathematics and Cybernetics

Email: lesik56@mail.ru
Russian Federation, Moscow, 119991

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