Mittag-Leffler Stability of Fractional-Order Nonlinear Differential Systems With State-Dependent Delays

被引：7
作者：
Li, Hui [1 ]
Kao, Yonggui [1 ,2 ]
Chen, Yangquan [3 ]
机构：
[1] Harbin Inst Technol, Dept Math, Weihai 264209, Shandong, Peoples R China
[2] Linyi Univ, Sch Automat & Elect Engn, Linyi 276005, Shandong, Peoples R China
[3] Univ Calif Merced, Sch Engn, Dept Mechatron Embedded Syst & Automat, Merced, CA 95343 USA
来源：
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS | 2022年 / 69卷 / 05期
基金：
中国国家自然科学基金;
关键词：
Delays; Stability criteria; Circuit stability; Underwater vehicles; Delay effects; Robots; Nonlinear systems; Fractional-order; memoryless control; Mittag-Leffler stability; state-dependent delay; submarine position system; COUPLED SYSTEM; EQUATIONS; DESIGN;
D O I：
10.1109/TCSI.2022.3142765
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 stability of fractional-order (FO) nonlinear system with state-dependent delays (SDDs) is investigated. Unlike the usual time-dependent delays, the state-dependent (SD) delays make the size of the delays relative to the states, which makes the system uncertain when historical state information would be used. A Lemma on Riemann-Liouville derivative is first given to ensure the monotonicity of the considered function. Then, based on the Lyapunov method, several sufficient criteria are presented to guarantee the Mittag-Leffler stability of the discussed systems. In the end, three examples are applied to illustrate the correctness and applicability of our theoretical conclusions, including practical applications in submarine positioning models.
引用
收藏
页码：2108 / 2116
页数：9
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