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Robust stability of positive discrete-time linear systems with multiple delays with linear unity rank uncertainty structure or non-negative perturbation matrices

Busłowicz M.

Bulletin of the Polish Academy of Sciences. Technical Sciences

2007

Vol. 55, nr 1

1-5

Simple necessary and sufficient conditions for robust stability of the positive linear discrete-time systems wit h delays with linear uncertainty structure in two cases: 1) unity rank uncertainty structure, 2) non-negative perturbation matrices, are established. The proposed condi-tions are compared wit h the suitable conditions for the standard systems. The considerations are illustrated by numerical examples.