一类非线性时滞分数阶q—差分系统的有限时间稳定性

Finite time stability of a class of nonlinear delay fractional q-difference systems

研究了一类非线性时滞分数阶q-差分系统的有限时间稳定性.首先,证明了一类非线性时滞Caputo型分数阶q-差分系统解的存在唯一性;其次,利用q-Mittag-Leffler函数和Gronwall不等式建立了该时滞分数阶q-差分系统有限时间稳定性的充分条件.最后通过举例表明了本文主要结果的有效性和实用性.

In this paper,finite,time stability of a class of nonlinear delay fractional q-difference systems is studied.Firstly,we prove the existence and uniqueness for the solutions of a class of nonlinear delay Caputo fractional q-difference systems.Secondly,by using q-Mittag-Leffler function and the Gronwall inequality, sufficient conditions for the finite time stability of the delay fractional q-difference system is obtained.Finally, an example is presented to illustrate the validity and practicability of our main results.