This paper is devoted to an N-person partial differential game whose dynamics of the state
variable is described by a hyperbolic differential equation with certain boundary and initial …

Deforestation is a major threat to global environmental wellness, with illegal logging as one
of the major causes. Recently, there has been increased effort to model environmental …

In piecewise-deterministic Markov processes (PDMPs) the state of a finite-dimensional
system evolves continuously, but the evolutive equation may change randomly as a result of …

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 …

A countermeasure against sediment depletion in rivers is sand replenishment. The cost-
efficient sizing of its capacity is critical for sustainable environmental management. However …

To achieve SDGs (sustainable development goals) and carbon neutrality goals, the Chinese
government have been adopting the cap-and-trade regulation to curb carbon emissions …

We consider the problem of optimal path planning on a manifold which is the image of a
smooth function. Optimal path-planning is of crucial importance for motion planning, image …

We consider the problem of time-optimal path planning for simple nonholonomic vehicles. In
previous similar work, the vehicle has been simplified to a point mass and the obstacles …

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 …

We consider a task of surveillance-evading path-planning in a continuous setting. An Evader
strives to escape from a 2D domain while minimizing the risk of detection (and immediate …