WU Fan,HOU Chengmin*.Stability of q -symmetric fractional non-autonomous systems[J].Journal of Yanbian University,2016,42(03):188-191，230.
分数阶q -对称非自治系统的稳定性
- Title:
- Stability of q -symmetric fractional non-autonomous systems
- Keywords:
- q-symmetric fractional Caputo derivative; q-symmetric Riemann-Liouville fractional derivative; non-autonomous systems; Lyapunov’s direct method; stability
- 分类号:
- O175.6
- 文献标志码:
- A
- 摘要:
- 考虑一类分数阶q-对称非自治系统的稳定性.利用Lyapunov直接法,研究了q-对称Caputo分数阶非自治系统的稳定性,建立了该系统一致稳定性及渐近稳定性条件并给出了证明.进一步,利用q-对称Riemann-Liouville分数阶导算子与q-对称Caputo分数阶导算子的关系,给出了q-对称Riemann-Liouville分数阶非自治系统的稳定性、一致稳定性及渐近稳定性结果.
- Abstract:
- Stability of a class of q-symmetric fractional non-autonomous systems is considered. Using Lyapunov’s direct method, the stability of q-symmetric fractional non-autonomous systems with q-symmetric fractional Caputo derivative is studied. Furthermore, using the relation of q-symmetric Caputo fractional derivative and q-symmetric Riemann-Liouville fractional derivative, the results of stability, uniformly stability and asymptotic stability for q-symmetric fractional non-autonomous systems with q-symmetric Riemann-Liouville fractional derivative is obtained.
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备注/Memo
收稿日期: 2016-06-03 *通信作者: 侯成敏(1963—),女,教授,研究方向为微分方程理论及应用.基金项目: 国家自然科学基金资助项目(11161049); 2015—2016年度吉林省教育厅“十二五”科技项目(吉教科合字[2015]第36号)