Stability analysis of Caputo-like discrete fractional systems
Stability analysis of Caputo-like discrete fractional systems
复制标题
DOI：
10.1016/j.cnsns.2017.01.002
复制
发表时间：
2017-07-01
影响因子：
3.9
通讯作者：
Chen, Fu-Lai
中科院分区：
文献类型：
--
作者：
Baleanu, Dumitru;Wu, Guo-Cheng;Chen, Fu-Lai
研究了Caputo delta分数阶差分方程的稳定性.讨论了一类线性分数阶差分方程解的单调性和渐近稳定性。证明了离散分数阶李雅普诺夫直接方法的稳定性定理。进一步推广了连续情形下的一个不等式，并给出了一个充分条件.文中给出了线性、非线性和时变系统的例子，结果表明分数阶控制系统的稳定性定理具有广阔的应用前景。(C)2017爱思唯尔B.V.保留所有权利。
This study investigates stability of Caputo delta fractional difference equations. Solutions' monotonicity and asymptotic stability of a linear fractional difference equation are discussed. A stability theorem for a discrete fractional Lyapunov direct method is proved. Furthermore, an inequality is extended from the continuous case and a sufficient condition is given. Some linear, nonlinear and time varying examples are illustrated and the results show wide prospects of the stability theorems in fractional control systems of discrete time. (C) 2017 Elsevier B.V. All rights reserved.