Parallel partial stabilizing algorithms for large linear control systems

Citation
P. Benner et al., Parallel partial stabilizing algorithms for large linear control systems, J SUPERCOMP, 15(2), 2000, pp. 193-206
Citations number
36
Categorie Soggetti
Computer Science & Engineering
Journal title
JOURNAL OF SUPERCOMPUTING
ISSN journal
09208542 → ACNP
Volume
15
Issue
2
Year of publication
2000
Pages
193 - 206
Database
ISI
SICI code
0920-8542(200002)15:2<193:PPSAFL>2.0.ZU;2-4
Abstract
In this paper we present parallel algorithms for stabilizing large linear c ontrol systems on multicomputers. Our algorithms first separate the stable part of the linear control system and then compute a stabilizing feedback f or the unstable part. Both stages are solved by means of the matrix sign fu nction which presents a high degree of parallelism and scalability. The experimental results on an IBM SP2 platform show the performance of our approach.