FINITE-TIME STABILITY IN MEAN FOR NABLA UNCERTAIN FRACTIONAL ORDER LINEAR DIFFERENCE SYSTEMS
FINITE-TIME STABILITY IN MEAN FOR NABLA UNCERTAIN FRACTIONAL ORDER LINEAR DIFFERENCE SYSTEMS
复制标题
nabla不确定分数阶线性差分系统均值的有限时间稳定性
DOI：
10.1142/s0218348x21500973
复制
发表时间：
2021-06-01
影响因子：
4.7
通讯作者：
Li, Bo
中科院分区：
文献类型：
--
作者：
Lu, Qinyun;Zhu, Yuanguo;Li, Bo
In this paper, the finite-time stability in mean for the uncertain fractional order linear time-invariant discrete systems is investigated. First, the uncertain fractional order difference equations with the nabla operators are introduced. Then, some conditions of finite-time stability in mean for the systems driven by the nabla uncertain fractional order difference equations with the fractional order 0 < nu < 1 are obtained by the property of Riemann Liouville-type nabla difference and the generalized Gronwall inequality. Furthermore, based on these conditions, the state feedback controllers are designed. Finally, some examples are presented to illustrate the effectiveness of the results.
