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Induced Convolution Operator Norms of Linear Dynamical Systems

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Abstract.

In this paper we develop explicit formulas for induced convolution operator norms and their bounds. These results generalize established induced operator norms for linear dynamical systems with various classes of input–output signal pairs.

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Authors and Affiliations

  1. Mechanical and Aerospace Engineering, University of Missouri–Columbia, Columbia, Missouri 65211-2200, U.S.A. ChellaboinaV@missouri.edu., , , , , , US

    VijaySekhar Chellaboina

  2. School of Aerospace Engineering, Georgia Institute of Technology, Atlanta, Georgia 30332-0150, U.S.A. wm.haddad@aerospace.gatech.edu., , , , , , US

    Wassim M. Haddad

  3. Department of Aerospace Engineering, The University of Michigan, Ann Arbor, Michigan 48109-2140, U.S.A. dsbaero@umich.edu., , , , , , US

    Dennis S. Bernstein

  4. Department of Electronic and Electrical Engineering, The University of Leeds, Leeds LS2 9JT, England. daw@elec-eng.leeds.ac.uk., , , , , , GB

    David A. Wilson

Authors
  1. VijaySekhar Chellaboina
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  2. Wassim M. Haddad
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  3. Dennis S. Bernstein
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  4. David A. Wilson
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Additional information

Date received: April 1, 1999. Date revised: February 21, 2000.

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Chellaboina, V., Haddad, W., Bernstein, D. et al. Induced Convolution Operator Norms of Linear Dynamical Systems. Math. Control Signals Systems 13, 216–239 (2000). https://doi.org/10.1007/PL00009868

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  • DOI: https://doi.org/10.1007/PL00009868

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