Research Output
A note on the eigenvectors of perturbed matrices with applications to linear positive systems
  A result is presented describing the eigenvectors of a perturbed matrix, for a class of structured perturbations. One motivation for doing so is that positive eigenvectors of nonnegative, irreducible matrices are known to induce norms — acting much like Lyapunov functions — for linear positive systems, which mayhelp estimate or control transient dynamics. The results apply to both discrete- and continuous-time linear positive systems. The theory is illustrated with several examples.

  • Type:

    Article

  • Date:

    16 July 2016

  • Publication Status:

    Published

  • Publisher

    Elsevier

  • DOI:

    10.1016/j.laa.2016.07.010

  • Cross Ref:

    S0024379516302725

  • ISSN:

    0024-3795

  • Funders:

    Engineering and Physical Sciences Research Council

Citation

Guiver, C., Hodgson, D., & Townley, S. (2016). A note on the eigenvectors of perturbed matrices with applications to linear positive systems. Linear Algebra and its Applications, 509, 143-167. https://doi.org/10.1016/j.laa.2016.07.010

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