Finite-time stability analysis of fractional order time-delay systems: Gronwall's approach
Finite-time stability analysis of fractional order time-delay systems: Gronwall's approach
复制标题
DOI：
10.1016/j.mcm.2008.09.011
复制
发表时间：
2009-02-01
影响因子：
--
通讯作者：
Spasic, Aleksandar M.
中科院分区：
文献类型：
--
作者：
Lazarevic, Mihailo P.;Spasic, Aleksandar M.
本文给出了具有纯时滞的线性非齐次分数阶系统的稳定性检验方法。将有限时间和实际稳定性领域的一些基本结果推广到以状态空间形式给出的线性、连续、分数阶时滞系统。对于一类特殊的分数阶时滞系统，给出了这种稳定性的充分条件。最后通过一个算例说明了该方法的有效性。(C) 2008 Elsevier Ltd版权所有。
In this paper, a stability test procedure is proposed for linear nonhomogeneous fractional order systems with a pure time delay. Some basic results from the area of finite time and practical stability are extended to linear, continuous, fractional order time-delay systems given in state-space form. Sufficient conditions of this kind of stability are derived for particular class of fractional time-delay systems. A numerical example is given to illustrate the validity of the proposed procedure. (C) 2008 Elsevier Ltd. All rights reserved.