Stabilization of diffusive systems using backstepping and the circle criterion

Description

Pool boiling is a pretty well-known benchmark of diffusive system with both practical and theoretical interest. We have investigated Neumann-boundary feedback control by combining the backstepping approach and the circle criterion. Conditions for local/global stability with nonlinear boundary conditions as input are investigated by explicitly solving the backstepping kernel equations. Simulation results are reported to illustrate the findings of the theoretical investigation and compare all the considered approaches.

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