具有Neumann边界的抛物型方程组的反馈能稳性

Abstract

Abstract:

In this paper, the author studies internal stabilization of steady-state
solutions to a class of semi-linear parabolic systems including three equations via finite-dimensional feedback controllers. The main idea is to use different internal controllers to stabilize different steady-state solutions. The controllers are provided by considering LQ problems associated with the linearized systems at steady-state solutions, and they are added to one, two or three
equations, depending on the considered steady-state solutions.

Key words: Stabilization, Parabolic system, Steady-state solution, Riccati equation, Feedback controller

CLC Number:

35B40

Dong Wangyuan. Feedback Stabilization of a Class of Parabolic Systems with Neumann Boundary Conditions[J].Acta mathematica scientia,Series A, 2008, 28(6): 1133-1149.

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Feedback Stabilization of a Class of Parabolic Systems with Neumann Boundary Conditions

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