This work introduces the Internally Positive Representation of linear coupled differential-difference systems with time-varying delays. Then a stability analysis is conducted on this class of systems: relying on results established under positivity assumptions, the IPR technique leads to a novel sufficient condition for the delay-independent asymptotic stability of coupled differential-difference systems that holds for not necessarily positive systems. As a consequence, an analogous stability condition for neutral-type equations with time-varying delays is also obtained. The results are discussed and favorably compared to similar conditions proposed in the literature, and finally validated by means of numerical examples.
Internally Positive Representations and Stability Analysis of Coupled Differential-Difference Systems with Time-Varying Delays
Vittorio De Iuliis
;Alfredo Germani;Costanzo Manes
2019-01-01
Abstract
This work introduces the Internally Positive Representation of linear coupled differential-difference systems with time-varying delays. Then a stability analysis is conducted on this class of systems: relying on results established under positivity assumptions, the IPR technique leads to a novel sufficient condition for the delay-independent asymptotic stability of coupled differential-difference systems that holds for not necessarily positive systems. As a consequence, an analogous stability condition for neutral-type equations with time-varying delays is also obtained. The results are discussed and favorably compared to similar conditions proposed in the literature, and finally validated by means of numerical examples.Pubblicazioni consigliate
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