Abstract: Time-optimal control for high-order chain-of-integrators systems with full state constraints and arbitrarily given terminal states remains a challenging problem in the optimal control theory ...

Abstract: A skid-steer rover's power consumption is highly dependent on the turning radius of its path. For example, a point turn consumes a lot of power compared to a straight-line motion. Thus, in ...

1 Department of Mathematic, Mongolian University of Science and Technology, Ulaanbaatar, Mongolia 2 Department of Economics, University of Finance and Economics, Ulaanbaatar, Mongolia We consider a ...

In this paper, we use partial differential equations to deal with constraint optimal control problems. We construct extremal flows by differential-algebraic equation to approximate the optimal ...

秘書問題 、または 最適停止問題 （Optimal Stopping Problem）は、この難問に挑む数学的なアプローチだ。 実際の場面では求職活動、投資のタイミング、理想のパートナー探しなどでその重要性が際立つ。 この問題を理解するために、典型的な設定を考えてみよう。