Bilinear Boundary Control Problem of an Output of Parabolic Systems

Fractional Optimal Control Problem of Parabolic Bilinear Systems with Bounded Controls

“…Zerrik and El Kabouss [16] have studied a regional optimal bilinear control of wave equation, taking a functional cost as the sum of the energy and the difference between the solution of the wave equation and the desired state for bounded and unbounded controls. Recently, Zerrik and El Kabouss [17] established an output optimal control problem with a bounded control set. In other words, they considered a problem of controlling only an output of the solution of a parabolic system.…”

“…In other words, they considered a problem of controlling only an output of the solution of a parabolic system. In [18], they have studied an optimal control problem for the heat equation in order to give control that leads to a state as the class as possible to the desired state, only on a subregion of the domain of evolution, under constrained controls sets.…”

An output of Kirchhoff Plate Equation with Bilinear Boundary controls

“…The used approach consists in finding an unique optimal control that is represented in terms of the solution of an optimality system. Recently, Zerrik and El Kabouss [8] established an output optimal control problem with bounded control set, in other words, they considered a problem of controlling only an output of the solution of parabolic system. In [9], they have studied an optimal control problem for the heat equation in order to give a control that leads to a state as class as possible to a target state, only on a subregion of the domain of evolution under unbounded controls sets.…”