New Result on Finite-Time Stability of Fractional-Order Nonlinear Delayed Systems-Reference-Cited by-同舟云学术

New Result on Finite-Time Stability of Fractional-Order Nonlinear Delayed Systems

Published:2015-11-01 Issue:6 Volume:10 Page:
ISSN:1555-1415
Container-title:Journal of Computational and Nonlinear Dynamics
language:en
Short-container-title:

Author:

Chen Liping¹,Pan Wei²,Wu Ranchao³,He Yigang²

Affiliation:

1. School of Electrical Engineering and Automation, Hefei University of Technology, Hefei 230009, China e-mail:

2. School of Electrical Engineering and Automation, Hefei University of Technology, Hefei 230009, China

3. School of Mathematics, Anhui University, Hefei 230039, China

Abstract

Since Lyapunov method has not been well developed for fractional-order systems, stability of fractional-order nonlinear delayed systems remains a formidable problem. In this letter, finite-time stability of a class of fractional-order nonlinear delayed systems with order between 0 and 1 is addressed. By using the technique of inequalities, a new and simple delay-independent sufficient condition guaranteeing stability of fractional-order nonlinear delayed system over the finite time interval is obtained. Numerical examples are presented to demonstrate the validity and feasibility of the obtained results.

Publisher

ASME International

Subject

Applied Mathematics,Mechanical Engineering,Control and Systems Engineering,Applied Mathematics,Mechanical Engineering,Control and Systems Engineering

Link

http://asmedigitalcollection.asme.org/computationalnonlinear/article-pdf/doi/10.1115/1.4029784/6107714/cnd_010_06_064504.pdf

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