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Factorization of Nonlinear Systems

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Book cover The Gohberg Anniversary Collection

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 41))

Abstract

A basic result of Bart, Gohberg, Kaashoek, and Van Dooren parameterizes factorizations of the transfer function of a linear system in terms of the state space equations of the system. This paper extends their result to nonlinear systems.

Research on this paper was supported in part by the National Science Foundation and the Air Force Office of Scientific Research.

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References

  1. V. Anbantharam and C. A. Desoer, On the stabilization of nonlinear systems, IEEE Trans. Automatic Control, AC-29 (1984), 569–573.

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  4. J. William Helton, with assistance of Joseph A. Ball, Charles R. Johnson, and John Palmer, Operator theory, analytic functions, matrices, and electrical engineering, Expository Lectures from the CBMS Regional Conference held at Lincoln, Nebraska, August 1985 (Regional conference series in mathematics, ISSN 0160-7642; no. 68, 1987).

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  5. P. Hartman, Ordinary Differential Equations, Birkhäuser, Boston, 1982.

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  6. J. Hammer, Nonlinear systems: stabilization and coprimeness, International J. Control, 42, no. 1 (1985), pp. 1–20.

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Author information

Authors and Affiliations

  1. Department of Mathematics (C-012), University of California, San Diego, La Jolla, California, 92093, USA

    J. William Helton

Authors
  1. J. William Helton
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Editor information

H. Dym S. Goldberg M. A. Kaashoek P. Lancaster

Additional information

Dedicated to Israel Gohberg on his sixtieth birthday

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© 1989 Birkhäuser Verlag Basel

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Helton, J.W. (1989). Factorization of Nonlinear Systems. In: Dym, H., Goldberg, S., Kaashoek, M.A., Lancaster, P. (eds) The Gohberg Anniversary Collection. Operator Theory: Advances and Applications, vol 41. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9278-0_16

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  • DOI: https://doi.org/10.1007/978-3-0348-9278-0_16

  • Publisher Name: Birkhäuser Basel

  • Print ISBN: 978-3-0348-9975-8

  • Online ISBN: 978-3-0348-9278-0

  • eBook Packages: Springer Book Archive

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