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**Independence of asymptotic stability of positive 2D linear systems with delays of their delays.**
*(English)*
Zbl 1167.93023

Summary: It is shown that the asymptotic stability of positive 2D linear systems with delays is independent of the number and values of the delays and it depends only on the sum of the system matrices, and that the checking of the asymptotic stability of positive 2D linear systems with delays can be reduced to testing that of the corresponding positive 1D systems without delays. The effectiveness of the proposed approaches is demonstrated on numerical examples.

### MSC:

93D20 | Asymptotic stability in control theory |

93C05 | Linear systems in control theory |

15B48 | Positive matrices and their generalizations; cones of matrices |

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\textit{T. Kaczorek}, Int. J. Appl. Math. Comput. Sci. 19, No. 2, 255--261 (2009; Zbl 1167.93023)

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