BIBO stability of fractional-order controlled nonlinear systems
BIBO stability of fractional-order controlled nonlinear systems
复制标题
分数阶控制非线性系统的BIBO稳定性
DOI：
10.1080/00207721.2016.1269219
复制
发表时间：
2017
影响因子：
4.3
通讯作者：
Chen Liping
中科院分区：
文献类型：
--
作者：
Liang Song;Wu Ranchao;Chen Liping
研究分数阶非线性控制系统的BIBO稳定性。通过引入一些Mittag-Leffler函数的性质，并利用Lyapunov函数的Caputo导数所满足的不等式，首先给出了保证BIBO稳定性的充分条件。然后，利用所建立的稳定性结果证明了分数阶金融系统解和分数阶低阶大气环流系统解的有界性。并通过两个实例验证了理论结果。
ABSTRACT The BIBO stability of fractional-order controlled nonlinear systems is investigated in this paper. By introducing the properties of some Mittag-Leffler functions and using an inequality satisfied by the Caputo derivative of a Lyapunov function, sufficient conditions to guarantee the BIBO stability are firstly presented. Then, the boundedness of solutions of the fractional financial system and the fractional low-order atmospheric circulation system are proved by the established stability results. Besides, two illustrative examples verify the theoretical results.