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Optimal Driving Under Traffic Signal Uncertainty
Mallory E. Gaspard, Alexander Vladimirsky
We study driver's optimal trajectory planning under uncertainty in the duration of a traffic light's green phase. We interpret this as an optimal control problem with an objective…
Control-Theoretic Models of Environmental Crime
Elliot Cartee, Alexander Vladimirsky
We present two models of perpetrators' decision-making in extracting resources from a protected area. It is assumed that the authorities conduct surveillance to counter the extract…
Time-Dependent Surveillance-Evasion Games
Elliot Cartee, Lexiao Lai, Qianli Song +1
Surveillance-Evasion (SE) games form an important class of adversarial trajectory-planning problems. We consider time-dependent SE games, in which an Evader is trying to reach its…
Evasive path planning under surveillance uncertainty
Marc Aurèle Gilles, Alexander Vladimirsky
The classical setting of optimal control theory assumes full knowledge of the process dynamics and the costs associated with every control strategy. The problem becomes much harder…