The “Bang-Bang” Principle for the Time-Optimal Problem in Boundary Control of the Heat Equation

Abstract

Following previous work by H. O. Fattorini, J. Henry and the present author it is proved that the time-optimal controls associated with arbitrary reachable target temperature distributions in boundary control for the heat equation (with bounds on the admissible controls) are “bang-bang”.

Identifiers

DOI

10.1137/0318008

Citations and references