新的比较原理与分数阶微分系统的稳定性

摘要

通过引入上拟单调概念,得到了新的比较原理,在此基础上,利用Lyapunov直接方法和Lyapunov比较方法,讨论分数阶微分系统的两度量稳定性,得到几个稳定性判据.%Fractional differential systems have great applications in many fields of fluid flow rheology,diffusive transport etc.Two measure stability are investigated by using Lyapunov direct method and Lyapunov comparison method.A new comparison theorem is established by introducing the notion of upper quasi-monotone.Meanwhile,some stability criteria are obtained.