Reducing subspaces : computational aspects and applications in linear system theory

Van Dooren, Paul
(1982) Proceedings 5th International Conference on Systems Analysis and Optimization — ISBN: [978-3-540-12089-6], p. 935-953, published

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  • Van Dooren, PaulUCLouvain
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Abstract
In this paper we make connections between the recently developed concept of reducing subspaces of a singular pencil and several similar concepts known in control and systems theory, which are shown to be special cases of it. Numerical aspects — such as the derivation of stable algorithms, and the sensitivity of the computed results — can thereby be specialized to similar results in the control and systems area.
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Van Dooren, P. (1982). Reducing subspaces : computational aspects and applications in linear system theory. In Bensoussan and Lions (ed.), Proceedings 5th International Conference on Systems Analysis and Optimization (p. p. 935-953). Springer. https://doi.org/10.1007/BFb0044441