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Technical Brief

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

[+] Author and Article Information
Liping Chen

School of Electrical Engineering and Automation,
Hefei University of Technology,
Hefei 230009, China
e-mail: lip_chenhut@126.com

Wei Pan, Yigang He

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

Ranchao Wu

School of Mathematics,
Anhui University,
Hefei 230039, China

1Corresponding author.

Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received November 18, 2014; final manuscript received February 4, 2015; published online June 9, 2015. Assoc. Editor: J. A. Tenreiro Machado.

J. Comput. Nonlinear Dynam 10(6), 064504 (Nov 01, 2015) (5 pages) Paper No: CND-14-1291; doi: 10.1115/1.4029784 History: Received November 18, 2014; Revised February 04, 2015; Online June 09, 2015

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.

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Copyright © 2015 by ASME
Topics: Stability , Delays
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Figures

Grahic Jump Location
Fig. 1

Time response curves of system (14)

Grahic Jump Location
Fig. 2

Time response curves of system (15)

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