一类分数阶时滞微分系统的两度量稳定性

Stability of two measures for fractional order time-delay differential system

讨论了一类分数阶时滞微分系统.首先,引入锥的概念,给出了锥值分数阶时滞微分系统的Lyapunov函数.其次,发展了比较定理,得到了关于分数阶时滞微分系统与微分系统的新的比较定理.最后,通过新的比较定理,给出分数阶时滞微分系统的两度量稳定性的判断准则.

One kind of the fractional order time-delay system was discussed. Firstly, introduced the concept of cove, and given the Lyapunov function of cove-value fractional order time-delay differential sys- tem. Secondly, developed the comparison theorem, and got a new comparison theorem on the fractional order time-delay system and fractional system. Finally, concluded the stability criterion of two measures for fractional order time-delay system by the new comparison theorem.