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Realization Theory of Bilinear Systems

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Geometric Methods in System Theory

Part of the book series: NATO Advanced Study Institutes Series ((ASIC,volume 3))

Abstract

Interest in bilinear systems theory and applications has grown in the recent years. The basic motivation of this growth is twofold: on the one hand, the feasibility to be a satisfactory model for large classes of systems (physical, biological, socio-economical, etc.); on the other hand the relative ease with which their theory can be set-up. The first characteristic is substantially related to the presence of a multiplicative control action (on the state motion) besides the additive one, which is the only one present in a linear system. The second characteristic lies in the fact that, for any fixed input, the equations are linear in the state.

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D. Q. Mayne R. W. Brockett

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© 1973 D. Reidel Publishing Company, Dordrecht

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Isidori, A., Ruberti, A. (1973). Realization Theory of Bilinear Systems. 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_3

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  • DOI: https://doi.org/10.1007/978-94-010-2675-8_3

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-2677-2

  • Online ISBN: 978-94-010-2675-8

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