Browsing by Author "ASSMA , DERDOUKH"

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    ON THE ROBUST STABILITY OF POSITIVE DELAY SYSTEMS UNDER TIME-VARYING PERTURBATIONS IN BANACH LATTICES
    (2017) ASSMA , DERDOUKH
    Abstract. A generalisation of an explicit robust stability bound from finite to infinite dimensional case is proved. The studied systems are positive linear time delay differential systems (PLTDDS (s)) which are subject to time varying structured perturbations in Banach lattices. The semigroup method, PerronFrobenius Theorem and the principle of comparison are used. In addition, the coincidence of complex, real and positive stability radii for a number of special cases is proved, and an explicit formula for the radius is derived.