论文标题
非线性反应扩散方程的最佳边界控制通过完成正方形和Al'brekht的方法
Optimal Boundary Control of a Nonlinear Reaction Diffusion Equation via Completing the Square and Al'brekht's Method
论文作者
论文摘要
本文的两个贡献如下。第一个是通过完成正方形的简单和建设性方法的无限维度控制线性二次调节器的解决方案。第二个贡献是Al'brekht方法扩展到边界控制的非线性反应扩散系统的最佳稳定。
The two contributions of this paper are as follows. The first is the solution of an infinite dimensional, boundary controlled Linear Quadratic Regulator by the simple and constructive method of completing the square. The second contribution is the extension of Al'brekht's method to the optimal stabilization of a boundary controlled, nonlinear Reaction Diffusion system.
