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Computing the maximum transient energy growth

BIT Numerical Mathematics volume 51, pages 447–457 (2011)Cite this article

Abstract

The calculation of maximum transient energy growth is a problem of interest in several areas of science and engineering. An algorithm that guarantees the calculation of this measure to an arbitrary accuracy in a finite number of steps is proposed for finite-dimensional linear-time-invariant dynamical systems. The algorithm is illustrated with a numerical example.

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Authors and Affiliations

  1. Department of Aerospace Engineering, Cranfield University, Bedfordshire, MK43 0AL, UK

    James F. Whidborne & Nathalie Amar

Authors
  1. James F. Whidborne
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  2. Nathalie Amar
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Correspondence to James F. Whidborne.

Additional information

Communicated by Anna-Karin Tornberg.

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Whidborne, J.F., Amar, N. Computing the maximum transient energy growth. Bit Numer Math 51, 447–457 (2011). https://doi.org/10.1007/s10543-011-0326-4

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  • DOI: https://doi.org/10.1007/s10543-011-0326-4

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