A new approach to boundary control of semilinear parabolic PDEs that yields linear tracking error dynamics

2026/07/01 by Abdurrahman Irscheid, Nicole Gehring, Joachim Deutscher +1

paper · doi:10.1016/j.ejcon.2026.101584

Citations

• Optimal Boundary Control of a Nonlinear Reaction Diffusion Equation via\n Completing the Square and Al'brekht's Method
• Nonlinear Bilateral Output-Feedback Control for a Class of Viscous Hamilton-Jacobi PDEs
• Null controllability of the heat equation using flatness
• Flatness-based boundary control of a class of quasilinear parabolic distributed parameter systems
• A spectral method for solving the sideways heat equation
• Analyticity at the boundary of solutions of nonlinear second‐order parabolic equations
• Infinite Dimensional Backstepping-Style Feedback Transformations for a Heat Equation with an Arbitrary Level of Instability