半线性抛物型偏微分方程的反演边界控制

2015 54th IEEE Conference on Decision and Control (CDC) Pub Date : 2015-12-01 DOI:10.1109/CDC.2015.7402594

A. Hasan

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引用次数: 11

摘要

给出了求解半线性抛物型偏微分方程边界稳定的无限维反演方法。在得到线性抛物型偏微分方程反馈控制律的基础上，建立了反馈控制律。驱动只在域的一端。在构造严格Lyapunov函数的基础上证明了闭环系统的局部H4指数稳定性。对该设计进行了Fisher方程边界稳定的验证。

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Backstepping boundary control for semilinear parabolic PDEs

This paper presents an infinite-dimensional back-stepping for boundary stabilization of semilinear parabolic PDEs. The feedback control law is developed from the feedback control law obtained for the linear parabolic PDEs. The actuation is only at one end of the domain. We proved local H4 exponential stability of the closed-loop system based on construction of a strict Lyapunov function. The design is tested to boundary stabilization of the Fisher's equation.

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2015 54th IEEE Conference on Decision and Control (CDC)

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