Sonlu sayıda belirleyici parametre ile doğrusal olmayan parabolik denklemlerin geri bildirim denetimi

In this thesis, we study on stabilization of the solutions of second order nonlinear parabolic equations by using finite parameters feedback control systems. In particular, the zero steady state solution of initial boundary value problems, for nonlinear parabolic equations (with Neumann and Dirichlet boundary conditions) is examined. Finite parameters, such as, spatial averages (finite volume elements), finitely many Fourier modes and finitely many nodal observables and controllers are used. Moreover, continuous dependence of the solutions on the initial data is shown.