Necessary and Sufficient Stability Condition by Finite Number of Mathematical Operations for Time-delay Systems of Neutral Type

• 成果类型: Article
• 署名作者: Gomez, Marco A.; Egorov, Alexey V.; Mondie, Sabine
• 署名单位: Universidad de Guanajuato; Saint Petersburg State University; CINVESTAV - Centro de Investigacion y de Estudios Avanzados del Instituto Politecnico Nacional
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2020.3008392
• 发表日期: 2021
• 页码: 2802-2808
• 关键词: Delays; Stability criteria; Symmetric matrices; Eigenvalues and eigenfunctions; control theory; Delay Lyapunov matrix; necessary and sufficient stability condition; time-delay systems

摘要

We present a new necessary and sufficient condition of exponential stability of neutral-type linear time invariant (LTI) systems with one delay. The new stability criterion is given in terms of a block matrix, which exclusively depends on the delay Lyapunov matrix and is of finite dimension.