Titlebook: Realization and Modelling in System Theory; Proceedings of the I M. A. Kaashoek,J. H. Schuppen,A. C. M. Ran Conference proceedings 1990 Bir

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https://doi.org/10.1007/978-1-4612-3462-3Nonlinear system; linear algebra; numerical method; operator theory; stability; stabilization; system; syst

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Transformation Issues in Linear Systems Theorydied. Some matrix transformations and their systems theory counterparts are described which meet these requirements. Specifically a unified treatment of the problem is presented in which the point at infinity is dealt with on the same basis as the finite points of the frequency domain.

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Input/Output Equations and Realizabilityputs and outputs of a continuous time system. The only assumption needed is that the data be “well-posed” in a suitable sense. Our results serve to relate the notion of realizability proposed by Fliess in the context of differential algebra with the more standard concept used in nonlinear state-space systems.

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A Note on the Geometry of Partial Realization,τ) of all finite sequences of fixed length τ which have a minimal realization of dimension n ≤ τ. Moreover, we present continuity results for different canonical realization maps on the sequence spaces S(n,τ).

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