Regional gradient stabilization for bilinear distributed systems. (English) Zbl 1390.93405
Summary: The aim of this paper is to study regional stabilization of the gradient of bilinear distributed systems evolving in a spatial domain \(\Omega\). It consists in studying the asymptotic behavior of the gradient of such a system only in a subregion \(\omega\) of \(\Omega\). Then, we characterize gradient stabilizing controls and the one that stabilizes regionally the gradient, and minimizes a given performance cost. Also, we develop a numerical approach that leads to an algorithm successfully illustrated by simulations.
MSC:
| 93C20 | Control/observation systems governed by partial differential equations |
| 93D15 | Stabilization of systems by feedback |
Software:
RICPACReferences:
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