An Output Stabilization Problem of Distributed Linear Systems Approaches and Simulations

Zerrik, El Hassan; Benslimane, Y.

doi:10.4236/ica.2012.32018

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Cited by 3 publications

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“…Recently the notion of gradient stabilization was introduced by Zerrik et al [6,7] in the global and in the regional cases, and it concerns the study of the asymptotic behavior of the gradient for linear distributed system. Necessary and sufficient conditions to stabilize the gradient of the considered system, using the spectrum proprieties for the weak stabilization, the strong stabilization were obtained under a dissipation hypothesis.…”

Section: Introductionmentioning

confidence: 99%

An output stabilization of bilinear distributed systems

Zerrik¹,

Benslimane²,

Jai³

2013

ijma

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The aim of this paper is to study regional stabilization of the flux of bilinear distributed systems. More precisely it consists in studying the asymptotic behavior of the gradient of such a system not in its whole geometrical evolution domain Ω but only in a subregion ω of Ω. Then we give definitions and under suitable condition we give gradient stabilizing control. We also characterize the control which stabilizes regionally the gradient, and minimizes a given performance cost. Then we develop a numerical approach that is successfully illustrated by simulations.

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Section: Introductionmentioning

confidence: 99%