This work introduces the Internally Positive Representation of linear continuous-time difference systems with multiple delays. The technique, originally developed for delay-free linear systems, and recently extended to differential systems with multiple delays, proved to be a useful tool to exploit results available only for positive systems also for system that are not positive. As a result, a suffcient delay-independent stability condition for difference systems with constant delays is given, which is shown to be less conservative than similar existing results.

Internally Positive Representations and stability analysis of linear difference systems with multiple delays

DE IULIIS, VITTORIO
;
GERMANI, Alfredo;MANES, COSTANZO
2017-01-01

Abstract

This work introduces the Internally Positive Representation of linear continuous-time difference systems with multiple delays. The technique, originally developed for delay-free linear systems, and recently extended to differential systems with multiple delays, proved to be a useful tool to exploit results available only for positive systems also for system that are not positive. As a result, a suffcient delay-independent stability condition for difference systems with constant delays is given, which is shown to be less conservative than similar existing results.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11697/111760
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