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Asymptotic stability of positive 2D linear systems with delays

Kaczorek T.

Bulletin of the Polish Academy of Sciences. Technical Sciences

2009

Vol. 57, nr 2

133-138

New necessary and sufficient conditions for the asymptotic stability of positive 2D linear systems with delays described by the general model, Fornasini-Marchesini models and Roesser model are established. It is shown that checking of the asymptotic stability of positive 2D linear systems with delays can be reduced to the checking of the asymptotic stability of corresponding positive ID linear systems without delays. The efficiency of the new criterions is demonstrated on numerical examples.