4 papers
The complex Ginzburg-Landau equation on a finite interval and chaos suppression via a finite-dimensional boundary feedback stabilizer
Dionyssios Mantzavinos, Türker Özsarı, Kemal Cem Yılmaz
In this paper, we study the well-posedness and boundary stabilization of the initial-boundary value problem for the complex Ginzburg-Landau (CGL) equation on a finite interval. Fir…
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…
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…
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…