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Topology of the moduli space for reachable linear dynamical systems: The complex case

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Abstract

This paper deals with the algebraic topology of the space Σ n,m of complex reachable linear dynamical systems. Topological invariants such as the singular homology groups of Σ n,m are explicitly computed and they are shown to coincide with those of a certain Grassmann manifold. From this some new results on the topology of rational transfer matrices with fixed McMillan degree are obtained.

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  1. Department of Mathematics, Regensburg University, 8400, Regensburg, Germany

    Uwe Helmke

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Helmke, U. Topology of the moduli space for reachable linear dynamical systems: The complex case. Math. Systems Theory 19, 155–187 (1986). https://doi.org/10.1007/BF01704912

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  • DOI: https://doi.org/10.1007/BF01704912

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