2000•International Journal of Systems ScienceRequires access

Actuators and regional boundary controllability of parabolic systems

El Hassan Zerrik, Ali Boutoulout, Abdelhaq El Jaï

Open publisher page 69 citations

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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What this paper is about

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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OpenAlex reports 69 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available 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.

Key concepts: Controllability, Boundary (topology), Computation, Actuator, Control theory (sociology), Controllability Gramian, Connection (principal bundle), Mathematics

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