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math.OC2023
Finite dimensional backstepping controller design
Varga Kalantarov, Türker Özsarı, Kemal Cem Yılmaz
We introduce a finite dimensional version of backstepping controller design for stabilizing solutions of PDEs from boundary. Our controller uses only a finite number of Fourier mod…
math.AP2023
Local well-posedness of the higher order nonlinear Schrödinger equation on the half-line: single boundary condition case
Aykut Alkın, Dionyssios Mantzavinos, Türker Özsarı
We establish local well-posedness for the higher-order nonlinear Schrödinger equation, formulated on the half-line. We consider the scenario of associated coefficients such that on…