Boundary output feedback stabilization for spacial multi-dimensional coupled fractional reaction–diffusion systems

This paper studies the boundary feedback stabilization for spacial multi-dimensional coupled fractional reaction–diffusion systems with non-collocated or collocated outputs in the case that the system state is unmeasurable. By employing the backstepping method, we introduce a target system and analyze its Mittag–Leffler stability. For each pair of sides of the region boundary, assuming that system state is hinged on one side, while the controller is designed on the opposite side. These boundary controllers work together to achieve the state feedback Mittag–Leffler stabilization of the considered system. In addition, for both kinds of outputs, feedback controllers are also established to achieve the asymptotical stability of the corresponding closed-loop system. Two numerical experiments are carried out to illustrate our results.