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Conserved- and zero-mean quadratic quantities in oscillatory systems

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Abstract

We study quadratic functionals of the variables of a linear oscillatory system and their derivatives. We show that such functionals are partitioned in conserved quantities and in trivially- and intrinsic zero-mean quantities. We also state an equipartition of energy principle for oscillatory systems.

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Authors and Affiliations

  1. Department of Mathematics, University of Maastricht, P.O. Box 616, 6200, MD, Maastricht, The Netherlands

    P. Rapisarda

  2. ESAT-SISTA, K.U. Leuven, Kasteelpark Arenberg 10, 3001, Leuven-Heverlee, Belgium

    J.C. Willems

Authors
  1. P. Rapisarda
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  2. J.C. Willems
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Correspondence to P. Rapisarda.

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Rapisarda, P., Willems, J. Conserved- and zero-mean quadratic quantities in oscillatory systems. Math. Control Signals Syst. 17, 173–200 (2005). https://doi.org/10.1007/s00498-005-0149-4

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  • DOI: https://doi.org/10.1007/s00498-005-0149-4

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