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Paper details
Number 2 - June 2009
Volume 19 - 2009
Independence of asymptotic stability of positive 2D linear systems with delays of their delays
Tadeusz Kaczorek
Abstract
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.
Keywords
2D systems, systems with delays, asymptotic stability, positive systems