Boundary feedback stabilization of Fisher’s equation
نویسندگان
چکیده
منابع مشابه
Stabilization of the Schrödinger equation with a delay term in boundary feedback or internal feedback
In this paper, we investigate the effect of time delays in boundary or internal feedback stabilization of the multidimensional Schrödinger equation. In both cases, under suitable assumptions, we establish sufficient conditions on the delay term that guarantee the exponential stability of the solution. These results are obtained by using suitable energy functionals and some observability estimates.
متن کاملBoundary feedback stabilization of Navier-Stokes equations
The aim of this work is to design an explicit finite dimensional boundary feedback controller for stabilizing the equilibrium solutions to Navier-Stokes equations on a bounded and open domain in R, under the assumption that the unstable eigenvalues of the Stokes-Oseen operator are semisimple. The form of the stabilizing feedback is related to that one in [V. Barbu, 2012, [1]]. In comparison to ...
متن کاملBoundary Feedback Stabilization of the Monodomain Equations
Boundary feedback control for a coupled nonlinear PDE-ODE system (in the two and three dimensional cases) is studied. Particular focus is put on the monodomain equations arising in the context of cardiac electrophysiology. Neumann as well as Dirichlet based boundary control laws are obtained by an algebraic operator Riccati equation associated with the linearized system. Local exponential stabi...
متن کاملBoundary Feedback Stabilization of a Nonlinear Flexible Gantry Manipulator Using Disturbance Observer
This paper aims to develop a boundary control solution for a single-link gantry robot manipulator with one axis of rotation. The control procedure is considered with link’s transverse vibrations while system undergoes rigid body nonlinear large rotation and translation. Initially, based on Hamilton principle, governing equations of hybrid motions as a set of partial differential equations...
متن کاملBoundary Output Feedback Stabilization of a One-Dimensional Wave Equation System with Time Delay
The stabilization with time delay in observation and control represents extremely difficult mathematical challenges in distributed parameter systems control. It is well-known that the closed-loop stability achieved by some stabilizing output feedback laws is not robust for any small time delay. When this happens, it necessary to reconsider the stabilizing feedback control laws. We are concerned...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Systems & Control Letters
سال: 2016
ISSN: 0167-6911
DOI: 10.1016/j.sysconle.2016.09.003