An Output Stabilization Problem of Distributed Linear Systems Approaches and Simulations

El Hassan Zerrik, Yassine Benslimane

Department of Mathematics and Computer Science, Faculty of Science, University of Moulay Isma?l, Meknès, Morocco.

DOI: 10.4236/ica.2012.32018                

Abstract

The goal of this paper is to study an output stabilization problem: the gradient stabilization for linear distributed systems. Firstly, we give definitions and properties of the gradient stability. Then we characterize controls which stabilize the gradient of the state. We also give the stabilizing control which minimizes a performance given cost. The obtained results are illustrated by simulations in the case of one-dimensional distributed systems.

Keywords

Distributed System; Gradient Stability; Gradient Stabilization; Stabilizing Control

Conflicts of Interest

The authors declare no conflicts of interest.

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