理论(学习稳定性)
数学
基质(化学分析)
控制理论(社会学)
订单(交换)
线性系统
应用数学
计算机科学
数学分析
控制(管理)
财务
机器学习
人工智能
复合材料
经济
材料科学
作者
Xiao‐Chuang Jin,Jun‐Guo Lu,Qing‐Hao Zhang
出处
期刊:IEEE Transactions on Circuits and Systems Ii-express Briefs
[Institute of Electrical and Electronics Engineers]
日期:2023-07-01
卷期号:70 (7): 2415-2419
被引量:1
标识
DOI:10.1109/tcsii.2023.3237563
摘要
The stability and stabilization problem of linear fractional-order time-delay systems is investigated. By introducing a free matrix, the linear fractional-order time-delay systems is transformed to a delay-free system interconnected with uncertainties. New stability and stabilization criteria are derived based on the small gain theorem. The criteria are formulated as linear matrix inequalities and are computationally efficient. Since the free matrix is utilized, the new conditions are less conservative than the existing ones. Two numerical examples indicate that the proposed criteria are less conservative than existing ones.
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