Optimal control for a system on a unit simplex in infinite time

Optimal control for a semilinear system of first-order partial differential equations in infinite time is studied. The values of control variables belong to a finite-dimensional unit simplex at every instant at every point of the space. Necessary and sufficient conditions for the quality criterion of optimal control to be absolutely maximal are formulated.

Presented by the member of Editorial Board: B. T. Polyak