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eess.SY2024
Inverse Optimal Cardano-Lyapunov Feedback for PDEs with Convection
Mohamed Camil Belhadjoudja, Miroslav Krstic, Mohamed Maghenem +1
We consider the problem of inverse optimal control design for systems that are not affine in the control. In particular, we consider some classes of partial differential equations…
eess.SY2024
From Sontag s to Cardano-Lyapunov Formula for Systems Not Affine in the Control: Convection-Enabled PDE Stabilization
Mohamed Camil Belhadjoudja, Miroslav Krstic, Mohamed Maghenem +1
We propose the first generalization of Sontag s universal controller to systems not affine in the control, particularly, to PDEs with boundary actuation. We assume that the system…
eess.SY2024
Convection-Enabled Boundary Control of a 2D Channel Flow
Mohamed Camil Belhadjoudja, Miroslav Krstic, Emmanuel Witrant
Nonlinear convection, the source of turbulence in fluid flows, may hold the key to stabilizing turbulence by solving a specific cubic polynomial equation. We consider the incompres…