Actuators and regional boundary controllability of parabolic systems
El Hassan Zerrik, Ali Boutoulout, Abdelhaq El Jaï
Abstract
El Hassan Zerrik, Ali Boutoulout, Abdelhaq El Jaï
Abstract
The purpose of this paper is to explore the boundary regional controllability concept in connection with the choice of actuators. First, we give a definition and some properties of this concept, then we concentrate on the determination of control achieving boundary regional controllability with minimum energy. We also give an important approach that leads to numerical implementation for the computation of the optimal control.
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The purpose of this paper is to explore the boundary regional controllability concept in connection with the choice of actuators. First, we give a definition and some properties of this concept, then we concentrate on the determination of control achieving boundary regional controllability with minimum energy. We also give an important approach that leads to numerical implementation for the computation of the optimal control.
Key concepts: Controllability, Boundary (topology), Computation, Actuator, Control theory (sociology), Controllability Gramian, Connection (principal bundle), Mathematics