Numerical Decomposition of Symmetric Linear Systems

    •  Danielson, C., Bauer, S., "Numerical Decomposition of Symmetric Linear Systems", IEEE Conference on Decision and Control (CDC), DOI: 10.1109/CDC.2015.7502510, ISBN: 978-1-4799-7884-7, December 2015, pp. 2061-2066.
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      • @inproceedings{Danielson2015dec1,
      • author = {Danielson, C., Bauer, S.},
      • title = {Numerical Decomposition of Symmetric Linear Systems},
      • booktitle = {IEEE Conference on Decision and Control (CDC)},
      • year = 2015,
      • pages = {2061--2066},
      • month = dec,
      • doi = {10.1109/CDC.2015.7502510},
      • isbn = {978-1-4799-7884-7},
      • url = {}
      • }
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This paper proposes a method for numerically decomposing symmetric linear systems. We define system symmetries as transformations of the inputs, outputs, and states that do not change the system behavior. We show that symmetric systems can be decomposed into decoupled subsystems. We provide an algorithm for performing this decomposition that uses the input-output symmetries and minimal realizations to calculate the decomposition.