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Asymptotic Solution of a Cheap Control Game with Slow and Fast State Variables
Valery Y. Glizer, Vladimir Turetsky
A finite-horizon zero-sum linear-quadratic differential game is considered. Its features are: (i) the control cost of the minimizing player in the game's cost functional is much sm…
Suboptimal open-loop solution of a Stackelberg linear-quadratic differential game with cheap control of a follower: analytical/numerical study
Valery Y. Glizer, Vladimir Turetsky
A two-player finite horizon linear-quadratic Stackelberg differential game is considered. The feature of this game is that the control cost of a follower in the cost functionals of…
Defender-Attacker-Target Game: Open-Loop Solution
Vladimir Turetsky, Valery Y. Glizer
A defender-attacker-target problem with non-moving target is considered. This problem is modeled by a pursuit-evasion zero-sum differential game with linear dynamics and quadratic…
Singular Infinite Horizon Quadratic Control of Linear Systems with Known Disturbances: A Regularization Approach
Valery Y. Glizer, Oleg Kelis
An optimal control problem with an infinite horizon quadratic cost functional for a linear system with a known additive disturbance is considered. The feature of this problem is th…