Global stabilizability to trajectories for the Schlögl equation in a Sobolev norm

The stabilizability to trajectories of the Schlögl model is investigated in norm natural state space for strong solutions, which strictly contained standard pivot square integrable functions. As actuators a finite number indicator functions are used and control input subject bound constraint. A stabilizing saturated explicit feedback proposed, where set independent targeted trajectory. Further, existence open-loop optimal constrained controls related first-order optimality conditions investigated. These then compute receding horizon based controls. Results numerical simulations presented comparing their performance with that