Stability Analysis of a Class of Nonlinear Fractional Differential Systems With Riemann-Liouville Derivative  

作　　者：Ruoxun Zhang Shiping Yang Shiwen Feng 

机构地区：[1]College of Teacher Education,Xingtai University,Xingtai 054001,China [2]College of Physics and Information Engineering,Hebei Normal University,Shijiazhuang 050016,China

出　　处：《IEEE/CAA Journal of Automatica Sinica》2024年第8期1883-1885,共3页自动化学报（英文版）

基　　金：supported by the Natural Science Foundation of Hebei Province,China(A2015108010,A2015205161);the Science Research Project of Hebei Higher Educa tion Institutions,China(z2012021).

摘　　要：Dear Editor,This letter investigates the stability of n-dimensional nonlinear fractional differential systems with Riemann-Liouville derivative.By using the Mittag-Leffler function,Laplace transform and the Gronwall-Bellman lemma,one sufficient condition is attained for the asymptotical stability of a class of nonlinear fractional differential systems whose order lies in(0,2).According to this theory,if the nonlinear term satisfies some conditions,then the stability condition for nonlinear fractional differential systems is the same as the ones for corresponding linear systems.Two examples are provided to illustrate the applications of our result.

关 键 词：LIOUVILLE RIEMANN NONLINEAR 

分 类 号：O175[理学—数学]