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To estimate the L 2-gain of two dynamic systems

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Open Problems in Mathematical Systems and Control Theory

Part of the book series: Communications and Control Engineering ((CCE))

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References

  1. B.D.O. Anderson “Exponential Stability of Linear Equations Arising in Adaptive Identification”, IEEE Transactions on Automatic Control, Feb. 1977, pp. 83–88.

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  5. W. Liu, Y. Chitour and E.D. Sontag, “On finite gain stabilizability of linear systems subject to input saturation”, SIAM J. Control and Optimization, 34, pp. 1190–1219, 1996

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  6. Sussmann, H.J., Sontag, E.D., Yang, Y., “A general result on the stabilization of linear systems using bounded controls”, IEEE Transactions on Automatic Control, 39, pp. 2411–2425, 1994

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Authors and Affiliations

  1. Department of Automatic Control, Lund Institute of Technology, P.O. Box 118, S-221 00, Lund, Sweden

    Anders Rantzer

Authors
  1. Anders Rantzer
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Editor information

Editors and Affiliations

  1. Institute of Mathematics, University of Leige, Sart Tilman B37, B-4000, Liege, Belgium

    Vincent Blondel (PhD) (PhD)

  2. Department of Mathematics, Rutgers University, Hill Center 724, 08903, New Brunswick, USA

    Eduardo D. Sontag (PhD) (PhD)

  3. Centre for Arificial Intelligence and Robotics, Raj Bhavan Cirlce - High Grounds, 560001, Bangalore, India

    Mathukumalli Vidyasagar (PhD) (PhD)

  4. Institute of Mathematics, Rijksuniversiteit te Groningen, Postbus 800, 9700, Av Groningen, The Netherlands

    Jan C. Willems (PhD) (PhD)

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© 1999 Springer-Verlag London Limited

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Rantzer, A. (1999). To estimate the L 2-gain of two dynamic systems. In: Blondel, V., Sontag, E.D., Vidyasagar, M., Willems, J.C. (eds) Open Problems in Mathematical Systems and Control Theory. Communications and Control Engineering. Springer, London. https://doi.org/10.1007/978-1-4471-0807-8_36

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  • DOI: https://doi.org/10.1007/978-1-4471-0807-8_36

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-4471-1207-5

  • Online ISBN: 978-1-4471-0807-8

  • eBook Packages: Springer Book Archive

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