Independence of asymptotic stability of positive 2D linear systems with delays of their delays

Tadeusz Kaczorek

International Journal of Applied Mathematics and Computer Science, Tome 19 (2009), p. 255-261 / Harvested from The Polish Digital Mathematics Library

Résumé

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.

Détail

Publié le : 2009-01-01

Zbl 1167.93023

EUDML-ID : urn:eudml:doc:207932

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