Internally Positive Representations and Stability Analysis of Linear Difference Systems with Multiple Delays. Issue 1 (July 2017)

• Record Type: Journal Article
• Authors: De Iuliis, Vittorio; Germani, Alfredo; Manes, Costanzo
• Is Part Of: IFAC-PapersOnLine. Volume 50:Issue 1(2017)
• Page Start: 3099
• Page End: 3104
• Publication Date: 2017-07
• Subjects: Linear systems -- Systems with delays -- Positive systems -- Delay-independent stability; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2017.08.684
• Languages: English
• ISSNs: 2405-8963

Abstract

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 for positive systems also for systems that are not positive. As a result, a sufficient delay-independent stability condition for difference systems with constant delays is given, which is shown to be less conservative than similar existing results.