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Technical Brief

A new result on fractional differential inequality and applications to control of dynamical systems

[+] Author and Article Information
Ngo Van Hoa

Division of Computational Mathematics and Engineering, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City, Vietnam; Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam
ngovanhoa@tdtu.edu.vn

Tran Minh-Duc

Division of Computational Mathematics and Engineering, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City, Vietnam; Electronics Engineering, Ton Duc Thang University,Ho Chi Minh City, Vietnam
tranminhduc@tdtu.edu.vn

Ho Vu

Faculty of Mathematical Economics, Banking University of Ho Chi Minh City, Vietnam
vuh@buh.edu.vn

1Corresponding author.

ASME doi:10.1115/1.4043025 History: Received September 05, 2018; Revised February 19, 2019

Abstract

In this work, we establish a new estimate result for fractional differential inequality, and this inequality is used to derive a robust sliding mode control law for the fractional-order dynamic systems. The sliding mode control law is provided to make the states of the system asymptotically stable. Some examples are given to illustrate the results.

Copyright (c) 2019 by ASME
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