New finite-time stability analysis of singular fractional differential equations with time-varying delay

被引：0
作者：
Nguyen T. Thanh
Vu N. Phat
Piyapong Niamsup
机构：
[1] University of Mining and Geology,Department of Mathematics
[2] ICRTM,RCMAM, Department of Mathematics
[3] Institute of Mathematics,undefined
[4] Faculty of Science Chiang Mai University,undefined
来源：
Fractional Calculus and Applied Analysis | 2020年 / 23卷
关键词：
Primary 34A08; Secondary 34A12; 34D20; fractional derivatives; finite-time stability; Laplace transform; Mittag-Leffler function; time delay; linear matrix inequality;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The Lyapunov function method is a powerful tool to stability analysis of functional differential equations. However, this method is not effectively applied for fractional differential equations with delay, since the constructing Lyapunov-Krasovskii function and calculating its fractional derivative are still difficult. In this paper, to overcome this difficulty we propose an analytical approach, which is based on the Laplace transform and “inf-sup” method, to study finite-time stability of singular fractional differential equations with interval time-varying delay. Based on the proposed approach, new delay-dependent sufficient conditions such that the system is regular, impulse-free and finite-time stable are developed in terms of a tractable linear matrix inequality and the Mittag-Leffler function. A numerical example is given to illustrate the application of the proposed stability conditions.
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页码：504 / 519
页数：15
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