Abstract
The purpose of this paper is to discuss certain topological properties of rational inner functions and some of their links with the l 2 identification scheme for stable linear dynamical control systems. The topological description we are aiming at will be reasonably complete in the scalar case only, while almost everything remains to be proved for multi variable systems. However, it is also one of our main concerns to suggest here some generalizations, with respect to the input-output dimension as well as the identification criterion.
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© 1991 Birkhäuser Boston
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Baratchart, L. (1991). On the topological structure of inner functions and its use in identification of linear systems. In: Bonnard, B., Bride, B., Gauthier, JP., Kupka, I. (eds) Analysis of Controlled Dynamical Systems. Progress in Systems and Control Theory, vol 8. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-3214-8_5
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DOI: https://doi.org/10.1007/978-1-4612-3214-8_5
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