Optimal Actuator Locations for Distributed Parameter Systems involving Space-fractional Operators

This work is concerned with finding optimal actuator locations for infinite-dimensional systems with fractional operators. The system under consideration contains space-fractional derivatives and considers the ${{\mathbb{H}}_2}{\text{ - control}}$ performance metric as an optimization function for location optimization. Numerical studies for a diffusion problem are presented to illustrate the effects of the orders of fractional operators on the optimal actuator location.