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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.OC2021
Stabilization of higher order Schrödinger equations on a finite interval: Part II
Türker Özsarı, Kemal Cem Yılmaz
Backstepping based controller and observer models were designed for higher order linear and nonlinear Schrödinger equations on a finite interval in Part I of this study where the c…
math.OC2019
Stabilization of higher order Schrödinger equations on a finite interval: Part I
Ahmet Batal, Türker Özsarı, Kemal Cem Yılmaz
We study the backstepping stabilization of higher order linear and nonlinear Schrödinger equations on a finite interval, where the boundary feedback acts from the left Dirichlet bo…