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math.OC2022★ 11 cited
Pontryagin's Minimum Principle and Forward-Backward Sweep Method for the System of HJB-FP Equations in Memory-Limited Partially Observable Stochastic Control
Takehiro Tottori, Tetsuya J. Kobayashi
Memory-limited partially observable stochastic control (ML-POSC) is the stochastic optimal control problem under incomplete information and memory limitation. In order to obtain th…
math.OC2022★ 7 cited
Mean-Field Control Approach to Decentralized Stochastic Control with Finite-Dimensional Memories
Takehiro Tottori, Tetsuya J. Kobayashi
Decentralized stochastic control (DSC) considers the optimal control problem of a multi-agent system. However, DSC cannot be solved except in the special cases because the estimati…
math.OC2022★ 12 cited
Memory-Limited Partially Observable Stochastic Control and its Mean-Field Control Approach
Takehiro Tottori, Tetsuya J. Kobayashi
Control problems with incomplete information and memory limitation appear in many practical situations. Although partially observable stochastic control (POSC) is a conventional th…