In applications, the optimal solution is extremely important
because it can directly impact the efficiency of allocated resources.
This talk focuses on establishing numerical methods for
visibility-related optimal control problems. We address problems under
limited sensing ability which arises as an essential part in many
scientific fields, e.g., robotic path planning, unmanned automatic
vehicles, and designs of the surveillance system. We formulate the
problem using the level set framework and find the solution using an
optimization method with SDEs. After some modeling issues are addressed,
numerical results are presented. We will also discuss open problems.