Abstract
This paper deals with some observations arising in the realization of bilinear input-output maps. It concerns essentially with some internal structural properties which are consequences of the definition of the state by the most natural way i.e. Nerode equivalence classes.
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References
E. Fornasini -G. Marchesini : “Abstract realization theory of multilinear input-output maps.” UPee, 1973.
J.C. Willems : “Minimal Realization in State Space Form from input-output Data”. Int.Rept.Dept.of Math.,Univ. of Groningen,1973.
G. Marchesini -G. Picci : “Some Results of the Abstract Realization Theory of Multilinear Systems. Theory and Applications of Variable Structure Systems”. Academic Press 1972.
M.A. Arbib : “Decomposition Theory for Automata and Biological Systems”, in System Structure (Ed. by A.S. Morse), N.Y., IEEE Control Systems Society, pp. 1–56, 1971.
R.E. Kaiman : “Lectures on Controllability and Observability”, CIME, Bologna Italy 1968.
R.E. Kaiman -P.L. Falb -M.A. Arbib : “Topics in Mathematical System Theory”, McGraw-Hill, 1969.
F.R. Gantmacher : “The Theory of Matrices”, Chelsea P.C., N.Y. 1964.
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© 1973 D. Reidel Publishing Company, Dordrecht
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Fornasini, E., Marchesini, G. (1973). On the Internal Structure of Bilinear Input-Output Maps. In: Mayne, D.Q., Brockett, R.W. (eds) Geometric Methods in System Theory. NATO Advanced Study Institutes Series, vol 3. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-2675-8_17
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DOI: https://doi.org/10.1007/978-94-010-2675-8_17
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-2677-2
Online ISBN: 978-94-010-2675-8
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