Global Stabilization for a class of nonlinear fractional-order systems-Reference-Cited by-同舟云学术

Global Stabilization for a class of nonlinear fractional-order systems

Published:2019-02 Issue:01 Volume:10 Page:1941009
ISSN:1793-9623
Container-title:International Journal of Modeling, Simulation, and Scientific Computing
language:en
Short-container-title:Int. J. Model. Simul. Sci. Comput.

Author:

Liu Taide¹,Wang Feng²,Lu Wanchun²,Wang Xuhuan¹^ORCID

Affiliation:

1. Department of Education Science, Pingxiang University, Pingxiang, 337055, P. R. China

2. Department of Mathematics, Pingxiang University, Pingxiang, 337055, P. R. China

Abstract

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.

Funder

Education Department of Jiangxi Province (CN)

National Natural Science Foundation of China

Education Department of Jiangxi Province

Publisher

World Scientific Pub Co Pte Lt

Subject

Computer Science Applications,Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793962319410095

Reference32 articles.

1. Lyapunov functions for fractional order systems