Design of worst spatial distribution of disturbances for a class of parabolic partial differential equations

The aim of the present research study is to provide a computational framework for computing worst-case distributed disturbances for distributed parameter control problems. This algorithm couples constrained optimization along with robustness measures for the control problem. We describe the algorithm utilizing a parabolic partial differential equation with variable dissipation coefficients. Numerical results demonstrate the ability of the algorithm to find spatial locations where disturbances have maximal influence on the system.