摘要
提出一种分数阶线性系统稳定性证明方法。首先分析了双参数Mittag-Leffler函数估值定理中的限制条件,通过证明得出了该定理收敛域有误,因此改进了双参数Mittag-Leffler函数估值定理,并将它的参数由实数推广到矩阵。然后提出了可适用于分数阶线性系统的稳定性理论,并利用改进的双参数Mittag-Leffler函数估值定理进行了证明。仿真结果验证了理论的正确性。
This paper presented a kind of method about stability proof for fractional-order linear system.It analyzed the restricted conditions of double parameter Mittag-Leffler function estimate theorem,and proved that the convergence domain of the theorem was wrong.So it improved the double parameter Mittag-Leffler function estimate theorem,then extended its real parameters to matrices parameters.With the improved double parameter Mittag-Leffler function estimate theorem,it proved the stability theory for fractional-order linear system.Numerical simulations verify the effectiveness of the method.
出处
《计算机应用研究》
CSCD
北大核心
2013年第7期1961-1963,1974,共4页
Application Research of Computers
