Singular perturbation approximation of large, dense linear systems
Singular perturbation approximation of large, dense linear systems
复制标题
大型密集线性系统的奇异摄动近似
DOI：
10.1109/cacsd.2000.900220
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发表时间：
2000
期刊：
影响因子：
--
通讯作者：
G. Quintana
中科院分区：
文献类型：
--
作者：
P. Benner;E. Quintana;G. Quintana
讨论了大规模线性控制系统奇异摄动近似（SPA）模型降阶方法的并行实现。该方法是基于平衡截断方法使用满秩因素的系统Gramians。这些因素计算通过一个有效的迭代方案的基础上的符号函数法求解线性矩阵方程组。这些迭代和SPA公式的实施被证明是非常有效的分布式内存的并行计算机上。
We discuss the parallel implementation of singular perturbation approximation (SPA) model reduction methods for large-scale linear control systems. The methods are based on balanced truncation methods using full-rank factors of the system Gramians. These factors are computed via an efficient iterative scheme based on the sign function method for solving linear matrix equations. The implementation of these iterations and of the SPA formulae is shown to be highly efficient on parallel computers with distributed memory.