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Orbit and Bundle Stratification for Controllability and Observability Matrix Pairs in StratiGraph
Umeå University, Faculty of Science and Technology, Department of Computing Science. Umeå University, Faculty of Science and Technology, High Performance Compting Center North (HPC2N).
Umeå University, Faculty of Science and Technology, Department of Computing Science.
Umeå University, Faculty of Science and Technology, Department of Computing Science.
Umeå University, Faculty of Science and Technology, Department of Computing Science. Umeå University, Faculty of Science and Technology, High Performance Compting Center North (HPC2N).
2004 (English)In: Proceedings of the 16th International Symposium on Mathematical Theory of Networks and Systems (MTNS), 2004, 1-9 p.Conference paper, Published paper (Refereed)
Abstract [en]

The canonical structures of controllability and observability pairs (A,B) and (A,C) associated with a state-space system are studied under small perturbations. We show how previous work for general matrix pencils can be applied to the stratification of orbits and bundles of matrix pairs. A stratification provides qualitative information about the closure relation between canonical structures.We also present how the new results are used in StratiGraph, which is a software tool for computing and visualizing closure hierarchies.

Place, publisher, year, edition, pages
2004. 1-9 p.
Identifiers
URN: urn:nbn:se:umu:diva-9625OAI: oai:DiVA.org:umu-9625DiVA: diva2:149296
Available from: 2008-05-05 Created: 2008-05-05 Last updated: 2011-02-22Bibliographically approved

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Elmroth, ErikJohansson, PedherJohansson, StefanKågström, Bo
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Department of Computing ScienceHigh Performance Compting Center North (HPC2N)

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