Iterative Solution of Operator Lyapunov Equations arising in Heat Transfer

被引：0

作者：

Reis, Timo ^{[1
]}

Wollner, Winnifried ^{[1
]}

机构：

[1] Univ Hamburg, Dept Math, D-20146 Hamburg, Germany

来源：

2013 EUROPEAN CONTROL CONFERENCE (ECC) | 2013年

关键词：

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We consider an iterative method for the numerical solution of Lyapunov equations of infinite-dimensional control systems governed by an heat equation. Inspired by the 'alternating direction implicit (ADI)' iteration, which has been successfully applied to the solution of matrix Lyapunov equations, we present a method to determine approximations of the Gramian operator corresponding to the heat equation system. This method provides approximations of finite rank and is shown to be convergent in the nuclear norm.

引用

页码：41 / 46

页数：6

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