Abstract
System theoretic aspects of completely symmetric systems will be discussed both for discrete time and continuous time systems. Realization theoretic results are presented. Necessary and sufficient conditions are given for the boundedness of the observability and reachability operators. The asymptotic, exponential/power stability of a completely symmetric system is characterized through the support of its defining measure. For continuous time systems the boundedness of the system operators is analyzed.
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© 1996 Birkhäuser Verlag Basel/Switzerland
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Ober, R.J. (1996). System Theoretic Aspects of Completely Symmetric Systems. In: Gohberg, I., Lancaster, P., Shivakumar, P.N. (eds) Recent Developments in Operator Theory and Its Applications. Operator Theory Advances and Applications, vol 87. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9035-9_12
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DOI: https://doi.org/10.1007/978-3-0348-9035-9_12
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-0348-9878-2
Online ISBN: 978-3-0348-9035-9
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