One-Player Differential Games
One-Player Differential Games
This chapter focuses on one-player continuous time dynamic games, that is, the optimal control of a continuous time dynamical system. It begins by considering a one-player continuous time differential game in which the (only) player wants to minimize either using an open-loop policy or a state-feedback policy. It then discusses continuous time cost-to-go, with the following conclusion: regardless of the information structure considered (open loop, state feedback, or other), it is not possible to obtain a cost lower than cost-to-go. It also explores continuous time dynamic programming, linear quadratic dynamic games, and differential games with variable termination time before concluding with a practice exercise and the corresponding solution.
Keywords: continuous time dynamic, continuous time differential, open-loop policy, state-feedback policy, continuous time cost-to-go, information structure, continuous time dynamic programming, linear quadratic dynamic, variable termination time
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