Resource harvesting in inland fisheries during a single fishing season is mathematically
modeled based on an extended mean field game played by many anglers. The harvesting …

Sailboat path-planning is a natural hybrid control problem (due to continuous steering and
occasional “tack-switching” maneuvers), with the actual path-to-target greatly affected by …

While adaptive cancer therapy is beginning to prove a promising approach of building
evolutionary dynamics 7 into therapeutic scheduling, the stochastic nature of cancer …

We propose a model for path-planning based on a single performance metric that accurately
accounts for the potential (spatially inhomogeneous) cost of breakdowns and repairs. These …

Although adaptive cancer therapy shows promise in integrating evolutionary dynamics into
treatment scheduling, the stochastic nature of cancer evolution has seldom been taken into …

In this paper, we study solutions for a weakly coupled system of eikonal equations arising in
an optimal path-planning problem with random breakdown. The model considered takes …

Piecewise-deterministic Markov processes (PDMPs) are often used to model abrupt
changes in the global environment or capabilities of a controlled system. This is typically …

In this paper, we study solutions for a weakly coupled system of eikonal equations arising in
an optimal path-planning problem for autonomous vehicles. The model considered takes …

In match race sailing, competitors must steer their boats upwind in the presence of
unpredictably evolving weather. Combined with the tacking motion necessary to make …

We consider various problems arising in optimal control of piecewise-deterministic Markov
processes (PDMPs), with an emphasis on path planning problems where a randomly …