Abstract

State Estimation and control problems fot the Gray-Scott model are considerd. The model is descirbed as nonlinear partial equations with real-valued two-dimensional spatio-temporal variables, which are related to a chemical reaction. Control problem for the Gray-Scott model is formulated. An observer which estimates the state of the Gray-Scott model is proposed. A necessary condition of the observer gain is derived from analysis of the linearlized models around the equilibrium points. A result of pattern formation control is presented.

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