Abstract
AbstractAt present, Routh–Herwitz criterion is the mostly applied characteristic equation of the time‐lag fractional‐order gene regulatory network systems (FGRNs) for stability analysis. However, it is limited by linearization, which makes the result have a certain error. In addition, due to the processes of obtaining the characteristic roots are too complicated, there are too many constraints on stability criterion. To solve these problems, the vector Lyapunov function method combined with the M‐matrix is used in the present study. Based on this method, the corresponding asymptotic stability theorem is derived. Our results show that this novel method not only had fewer limitations compared with conventional methods, but also is suitable to all fractional‐order operators between 0 and 1 with a large time delay.
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