Robust Stackelberg controllability for the Kuramoto–Sivashinsky equation

In this article, the robust Stackelberg controllability (RSC) problem is studied for a nonlinear fourth-order parabolic equation, namely Kuramoto–Sivashinsky equation. When three external sources are acting into system, RSC consists essentially in combining two subproblems: first one saddle point among sources. Such called “follower control” and its associated “disturbance signal.” This procedure corresponds to control problem. The second hierarchic (Stackelberg strategy), which involves third force, so-called leader control. establishes simultaneous game these forces sense that has as objective verify property, while follower perturbation solve paper, obeys exact trajectories. Additionally, iterative algorithms approximate well strategy equation developed implemented.