Alexander Semion

National Research University Higher School of Economics | HSE · Department of Applied Mathematics

A differential game of several players is considered as follows. One player (attacker) penetrates some space, and several other players (pursuers) appear simultaneously to intercept the attacker. Upon detecting the pursuers, the attacker tries to evade them. The dynamics of each player are described by a time-invariant linear system of a general ty...

Летательные аппараты требуют высокой скорости расчета управляющего воздействия. Эти системы нередко можно представить в виде объектов с линейной структурой и пара- метрами, зависящими от состояния объекта. При использовании квадратичного функцио- нала качества возможно перейти к уравнению типа Риккати с параметрами, зависящими от состояния (State D...

For a class of nonlinear uncertain dynamic objects presented in the form of models with linear structure and state dependent coefficients the control problem is formulated in the key control differential game with quadratic quality functional. The synthesis of controls which leads to need of Riccati equation solution with parameters depending on st...