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International Conference on Vector and Parallel Processing

VECPAR 1996: Vector and Parallel Processing — VECPAR'96 pp 338–364Cite as

Stabilizing large control linear systems on multicomputers

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1215))

Abstract

In this paper we present several parallel algorithms for solving the stabilization problem of control linear systems. The first stabilizing algorithm, based on Bass' method, consists of matrix computations which result difficult to parallelize. A different two-stage approach, based on highly parallel spectral division techniques, is then described and used to develop parallel algorithms for the stabilization of large linear systems. The new approach consists of two well-defined stages. First, an efficient spectral division technique is used to identify the stable part of the linear system. Then, the unstable part of the system is stabilized by means of Bass' algorithm. The experimental results on a multicomputer show considerable performance improvements of these two-stage approaches over Bass' algorithm.

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Author information

Authors and Affiliations

  1. Depto. de Sistemas Informáticos y Computación, Universidad Politécnica de Valencia, Aptdo. 22.012, 46.071, Valencia, Spain

    Vicente Hernández

  2. Depto. de Informática, Universidad Jaime I de Castellón, Aptdo. 242, 12.071, Castellón, Spain

    Enrique S. Quintana-Ortí

Authors
  1. Vicente Hernández
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  2. Enrique S. Quintana-Ortí
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José M. L. M. Palma Jack Dongarra

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© 1997 Springer-Verlag Berlin Heidelberg

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Hernández, V., Quintana-Ortí, E.S. (1997). Stabilizing large control linear systems on multicomputers. In: Palma, J.M.L.M., Dongarra, J. (eds) Vector and Parallel Processing — VECPAR'96. VECPAR 1996. Lecture Notes in Computer Science, vol 1215. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-62828-2_129

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  • DOI: https://doi.org/10.1007/3-540-62828-2_129

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  • Print ISBN: 978-3-540-62828-6

  • Online ISBN: 978-3-540-68699-6

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