Stability and Stabilization for Delay Delta Fractional Order Systems: An LMI Approach

被引：5
|
作者：
Wei, Yiheng [1 ]
Zhao, Linlin [2 ]
Lu, Junguo [3 ,4 ]
Cao, Jinde [1 ,5 ]
机构：
[1] Southeast Univ, Sch Math, Nanjing 211189, Peoples R China
[2] Nanjing Audit Univ, Sch Business, Nanjing 211815, Peoples R China
[3] Shanghai Jiao Tong Univ, Dept Automat, Shanghai 200240, Peoples R China
[4] Shanghai Jiao Tong Univ, Key Lab Syst Control & Informat Proc, Minist Educ China, Shanghai, Peoples R China
[5] Yonsei Univ, Yonsei Frontier Lab, Seoul 03722, South Korea
来源：
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS | 2023年 / 70卷 / 11期
基金：
中国国家自然科学基金;
关键词：
Delta fractional calculus; stable region approximation; circular region; LMI condition; SUFFICIENT CONDITIONS; LINEAR-SYSTEM;
D O I：
10.1109/TCSII.2023.3271712
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
The well-known delta fractional calculus is widely used in system analysis and synthesis. However, the irregular stable region brings many unexpected difficulties and challenges. The simple linear matrix inequality (LMI) condition, especially alpha is an element of (1, 2), is lacking. This brief constructs a circular region to approximate the true stable region. Afterwards, the sufficient conditions in terms of LMIs are derived. It is shown that the elaborated results are valid and effective.
引用
收藏
页码：4093 / 4097
页数：5
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