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Preliminaries in Finite Dimensional Space

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A Course in Robust Control Theory

Part of the book series: Texts in Applied Mathematics ((TAM,volume 36))

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Abstract

This chapter is centered around finite dimension vector spaces, mappings on them, and the convexity property.

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References

  1. S.P. Boyd, L. El Ghaoui, E. Feron, and V. Balakrishnan. Linear Matrix Inequalities in System and Control Theory. Society for Industrial and Applied Mathematics, 1994.

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  7. D.G. Luenberger. Optimization by Vector Space Methods. Wiley, 1969.

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  8. Y. Nesterov and A. Nemirovskii. Interior-Point Polynomial Algorithms in Convex Programming. Society for Industrial and Applied Mathematics, 1994.

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Author information

Authors and Affiliations

  1. Department of Mechanical and Industrial Engineering, University of Illinois, 61801, Urbana, IL, USA

    Geir E. Dullerud

  2. Department of Electrical Engineering, University of California, 90095-1594, Los Angeles, CA, USA

    Fernando Paganini

Authors
  1. Geir E. Dullerud
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  2. Fernando Paganini
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© 2000 Springer Science+Business Media New York

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Dullerud, G.E., Paganini, F. (2000). Preliminaries in Finite Dimensional Space. In: A Course in Robust Control Theory. Texts in Applied Mathematics, vol 36. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-3290-0_2

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  • DOI: https://doi.org/10.1007/978-1-4757-3290-0_2

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4419-3189-4

  • Online ISBN: 978-1-4757-3290-0

  • eBook Packages: Springer Book Archive

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