ON THE ROBUST STABILITY OF POSITIVE DELAY SYSTEMS UNDER TIME-VARYING PERTURBATIONS IN BANACH LATTICES
No Thumbnail Available
Date
2017
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
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.