Asymptotic stability of fractional difference equations with bounded time delays

被引：0
作者：
Mei Wang
Baoguo Jia
Feifei Du
Xiang Liu
机构：
[1] Sun Yat-Sen University,School of Mathematics
[2] Shanghai Jiao Tong University,Department of Automation
[3] Hebei Normal University,School of Mathematical Sciences
来源：
Fractional Calculus and Applied Analysis | 2020年 / 23卷
关键词：
Primary 26A33; Secondary 39A70; 39A12; fractional difference; asymptotical stability; fractional Halanay inequality; bounded time delays;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, an integral inequality and the fractional Halanay inequalities with bounded time delays in fractional difference are investigated. By these inequalities, the asymptotical stability conditions of Caputo and Riemann-Liouville fractional difference equation with bounded time delays are obtained. Several examples are presented to illustrate the results.
引用
收藏
页码：571 / 590
页数：19
相关论文
共 100 条
  • [1] Atici F M(2011)Linear systems of fractional nabla difference equations Rocky Mountain J. Math. 41 353-370
  • [2] Eloe P W(2020)Discrete fractional-order BAM neural networks with leakage delay: existence and stability results Asian J. Control. 22 143-155
  • [3] Alzabut J(2017)Stability analysis of Caputo-like discrete fractional systems Commun. Nonlinear Sci. Numer. Simul. 48 520-530
  • [4] Tyagi S(2016)A simple chaotic and hyperchaotic time-delay system: design and electronic circuit implementation Nonlinear Dynam. 83 2331-2347
  • [5] Abbas S(2020)Chaos in fractional-order discrete neural networks with application to image encryption Neural Networks 125 174-184
  • [6] Baleanu D(2011)Discrete Mittag-Leffler functions in linear fractional difference equations Abstr. Appl. Anal. 2011 1-21
  • [7] Wu G(2015)Asymptotic stability of dynamic equations with two fractional terms: continuous versus discrete case Fract. Calc. Appl. Anal. 18 437-458
  • [8] Bai Y(2015)On explicit stability conditions for a linear fractional difference system Fract. Calc. Appl. Anal. 18 651-672
  • [9] Chen F(2007)Stability analysis of linear fractional differential system with multiple time delays Nonlinear Dynam. 48 409-416
  • [10] Biswas D(2018)Asymptotical stability of fractional order systems with time delay via an integral inequality IET Control Theory A. 12 1748-1754
12345678910