Mittag-Leffler stability and generalized Mittag-Leffler stability of fractional-order gene regulatory networks

作者：Ren, Fengli^*; Cao, Feng; Cao, Jinde

来源：Neurocomputing, 2015, 160: 185-190.

DOI：10.1016/j.neucom.2015.02.049

• Fractional-order
• Mittag-Leffler stability
• Generalized Mittag-Leffler stability
• Gene regulatory networks

Gene regulatory networks have attracted much attention, and the networks with integer-order have been well studied. Fractional-order gene regulatory networks have been shown that it is more suitable to model gene regulation mechanism, but has rarely been researched. In this paper, a class of fractional-order gene regulatory networks is studied. Some criteria on the Mittag-Leffler stability and generalized Mittag-Leffler stability are established by using the fractional Lyapunov method for these networks. The existence of the equilibrium point is also considered. One illustrative example is provided to show the effectives of the obtained results.

• 出版日期2015-7-21
• 单位东南大学; 南京航空航天大学