### Abstract

help estimate or control transient dynamics. The results apply to both discrete- and continuous-time linear positive systems. The theory is illustrated with several examples.

Original language | English |
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Pages (from-to) | 143-167 |

Journal | Linear Algebra and its Applications |

Volume | 509 |

DOIs | |

Publication status | Published - 15 Nov 2016 |

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### Cite this

*Linear Algebra and its Applications*,

*509*, 143-167. https://doi.org/10.1016/j.laa.2016.07.010

**A note on the eigenvectors of perturbed matrices with applications to linear positive systems.** / Guiver, Christopher; Hodgson, Dave; Townley, Stuart.

Research output: Contribution to journal › Article

*Linear Algebra and its Applications*, vol. 509, pp. 143-167. https://doi.org/10.1016/j.laa.2016.07.010

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TY - JOUR

T1 - A note on the eigenvectors of perturbed matrices with applications to linear positive systems

AU - Guiver, Christopher

AU - Hodgson, Dave

AU - Townley, Stuart

PY - 2016/11/15

Y1 - 2016/11/15

N2 - 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.

AB - 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.

UR - http://dx.doi.org/10.1016/j.laa.2016.07.010

UR - http://dx.doi.org/10.1016/j.laa.2016.07.010

U2 - 10.1016/j.laa.2016.07.010

DO - 10.1016/j.laa.2016.07.010

M3 - Article

VL - 509

SP - 143

EP - 167

JO - Linear Algebra and its Applications

JF - Linear Algebra and its Applications

SN - 0024-3795

ER -