Stability Analysis of Coupled Differential-Difference Systems With Multiple Time-Varying Delays:A Positivity-Based Approach

• 成果类型: Article
• 署名作者: De Iuliis, Vittorio; D'Innocenzo, Alessandro; Germani, Alfredo; Manes, Costanzo
• 署名单位: University of L'Aquila
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2021.3059792
• 发表日期: 2021
• 页码: 6085-6092
• 关键词: Delays; asymptotic stability; Time-varying systems; delay systems; Numerical stability; intellectual property; trajectory; delay-independent stability; positive systems; time-delay systems

摘要

This article introduces novel results on linear coupled differential-difference systems with multiple time-varying delays. First, necessary and sufficient conditions for the positivity and delay-independent asymptotic stability of such systems are introduced. Then, exploiting the internally positive representation technique, we show how such stability results can be systematically exported to non-positive systems of the same class, yielding novel explicit sufficient conditions for their delay-independent stability. As a consequence, novel stability results on neutral-type systems, differential systems, and continuous-time difference systems with multiple delays are also obtained.