| 1到2分数阶非线性动力系统的稳定性分析（英文） |
| |
| 引用本文： | 漆勇方,彭友花. 1到2分数阶非线性动力系统的稳定性分析（英文）[J]. 数学季刊, 2019, 0(2): 188-195 |
| |
| 作者姓名： | 漆勇方 彭友花 |
| |
| 作者单位： | School of Mathematics |
| |
| 基金项目： | Supported by the Natural Science Foundation of China(11661065);Youth Fundation of Pingxiang University |
| |
| 摘 要： | One new theorem for Caputo fractional derivative and two new theorems for Caputo fractional order systems,when 1 < a < 2,are proposed in this paper.The results have proved to be useful in order to apply the fractional-order extension of Lyapunov direct method,to demonstrate the instability and the stability of many fractional order systems,which can be nonlinear and time varying.
|
| 关 键 词： | Stability INSTABILITY FRACTIONAL system LYAPUNOV FUNCTION |
Stability Analysis of Fractional Nonlinear Dynamic Systems With Order Lying in(1,2) |
| |
| QI Yong-fang,PENG You-hua. Stability Analysis of Fractional Nonlinear Dynamic Systems With Order Lying in(1,2)[J]. Chinese Quarterly Journal of Mathematics, 2019, 0(2): 188-195 |
| |
| Authors: | QI Yong-fang PENG You-hua |
| |
| Abstract: | One new theorem for Caputo fractional derivative and two new theorems for Caputo fractional order systems, when 1 a 2, are proposed in this paper. The results have proved to be useful in order to apply the fractional-order extension of Lyapunov direct method, to demonstrate the instability and the stability of many fractional order systems,which can be nonlinear and time varying. |
| |
| Keywords: | Stability Instability Fractional system Lyapunov function |
| 本文献已被 CNKI 维普 等数据库收录！ |
