Lyapunov Stability Analysis for Incommensurate Nabla Fractional Order Systems

被引：0
|
作者：
Yiheng Wei
Xuan Zhao
Yingdong Wei
Yangquan Chen
机构：
[1] Southeast University,School of Mathematics
[2] University of Science and Technology of China,Department of Automation
[3] University of California,School of Engineering
来源：
Journal of Systems Science and Complexity | 2023年 / 36卷
关键词：
Asymptotic stability; attractiveness; convex functions; difference inequality; incommensurate nabla fractional order systems; Lyapunov method;
D O I：
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中图分类号：
学科分类号：
摘要：
This paper investigates the problem of stability analysis for a class of incommensurate nabla fractional order systems. In particular, both Caputo definition and Riemann-Liouville definition are under consideration. With the convex assumption, several elementary fractional difference inequalities on Lyapunov functions are developed. According to the essential features of nabla fractional calculus, the sufficient conditions are given first to guarantee the asymptotic stability for the incommensurate system by using the direct Lyapunov method. To substantiate the efficacy and effectiveness of the theoretical results, four examples are elaborated.
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页码：555 / 576
页数：21
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