Global Stabilization for a class of nonlinear fractional-order systems  

作　　者：Taide Liu Feng Wang Wanchun Lu Xuhuan Wang 

机构地区：[1]Department of Education Science,Pingxiang University Pingxiang,337055,P.R.China [2]Department of Mathematics,Pingxiang University Pingxiang,337055,P.R.China

出　　处：《International Journal of Modeling, Simulation, and Scientific Computing》2019年第1期119-129,共11页建模、仿真和科学计算国际期刊（英文）

基　　金：The work is supported in part by the Scientific Research Fund of Jiangxi Provincial Education Department(GJJ171135 and GJJ161261);the NNSF of China(No.11661065).

摘　　要：The problem of Mittag-Leffler stabilization(MLS)is studied for a class of nonlinear non-integer order systems.The stabilizer is constructed by using the Lyapunov function and backstepping algorithm.The continuous controller is designed to ensure that the state of the nonlinear fractional-order closed-loop system converges to the equilibrium.Two simulation examples are given to illustrate the effectiveness of the method.

关 键 词：Planar system stabilisation state feedback Lyapunov function virtual controller 

分 类 号：O17[理学—数学]