Optimal control in networks of pipes and canal

This paper deals with the optimal control of systems
governed by nonlinear systems of conservation laws at junctions. The
applications considered range from gas compressors in pipelines to
open channels management. The existence of an optimal control is
proved. From the analytical point of view, these results are based on
the well posedness of a suitable initial boundary value problem and on
techniques for quasidifferential equations in a metric space.