Abstract
This paper contains a unified minimality theory for systems with several state space operators. It includes the theorems of minimality for time-invariant boundary value systems, for partial realization, for various classes of N-D-systems, and also for systems governed by certain partial differential equations.
Dediacted to Moshe Livšic on the occasion of his seventieth birthday, with great respect and gratitude. We owe him much of the modern understanding of the connections between operators and systems.
The work of this author is supported by the Fund of Promotion of Research of the Technion - Israel Institute of Technology.
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© 1988 Birkhäuser Verlag Basel
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Gohberg, I., Kaashoek, M.A., Lerer, L. (1988). Nodes and Realization of Rational Matrix Functions: Minimality Theory and Applications. In: Gohberg, I. (eds) Topics in Operator Theory and Interpolation. Operator Theory: Advances and Applications, vol 29. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9162-2_8
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DOI: https://doi.org/10.1007/978-3-0348-9162-2_8
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