Controlling Stationary Fronts in Two-Dimensional Reaction-Diffusion Systems
Optimization and Control
2007-05-23 v1
Abstract
This paper considers new approach to control a stationary inhomogeneous planar front solution of a nonlinear parabolic two-dimensional distributed (reaction-diffusion) system, by using a gain point-sensor control with actuators that have the simplest possible spatial dependence. The method is based on multivariable root-locus technique for the finite-dimensional approximation of the original PDE model and use the concepts of finite and infinite zeros of linear multidimensional
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Cite
@article{arxiv.math/0505494,
title = {Controlling Stationary Fronts in Two-Dimensional Reaction-Diffusion Systems},
author = {Yelena Smagina and Moshe Sheintuch},
journal= {arXiv preprint arXiv:math/0505494},
year = {2007}
}
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12 pages