Controlling Stationary Fronts in Two-Dimensional Reaction-Diffusion Systems

Details Controlling Stationary Fronts in Two-Dimensional Reaction-Diffusion Systems Controlling Stationary Fronts in Two-Dimensional Reaction-Diffusion Systems

2005-05-24

arxiv.org/abs/math/0505494v1

Mathematics

Optimization and Control

12 pages

Scientific paper

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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