An extension of stabilizing compensators for boundary control systems of parabolic type
An extension of stabilizing compensators for boundary control systems of parabolic type
复制标题
抛物型边界控制系统稳定补偿器的扩展
DOI：
10.1007/bf01048453
复制
发表时间：
1989
影响因子：
1.3
通讯作者：
T. Nambu
中科院分区：
文献类型：
--
作者：
T. Nambu
我们在本文中研究了通过反馈控制来稳定抛物型边界控制系统。可分离希伯特空间中的另一个微分方程被插入反馈回路中作为所谓的补偿器。它包含一个正参数γ，代表补偿器中系数算子的谱的增长率。我们在这里提出了用于稳定的 γ 允许范围的扩展。稳定补偿器最终被简化为有限维方程。提出了补偿器具体设计的算法。
We study in this paper the stabilization for boundary control systems of parabolic type by means of feedback controls. Another differential equation in a separable Hibert space is inserted in the feedback loop as the so-called compensator. It contains a positive parameterγ as representing the growth rate of the spectrum of the coefficient operator in the compensator. We present here an extension of the allowable range ofγ for stabilization. The stabilizing compensator is finally reduced to a finite-dimensional equation. An algorithm for a concrete design of the compensator is proposed.
DOI：
10.1007/978-1-4684-0313-8
发表时间：
1993-09
期刊：
--
影响因子：
--
作者：
R. Temam
通讯作者：
R. Temam