Controlling Stationary Fronts in Two-Dimensional Reaction-Diffusion Systems

2005/05/24 by Yelena Smagina, Smagina, Yelena, Moshe Sheintuch +1
Mathematics · #FOS: Mathematics #Optimization and Control (math.OC) #math.OC

paper · pdf · doi:10.48550/arxiv.math/0505494

12 pages

arxiv created 2005/05/24 · arxiv updated 2009/12/01

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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