A Note on the Lyapunov Stability of Fractional-Order Nonlinear Systems-Reference-Cited by-同舟云学术

A Note on the Lyapunov Stability of Fractional-Order Nonlinear Systems

Published:2017-08-06 Issue: Volume: Page:
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Container-title:Volume 9: 13th ASME/IEEE International Conference on Mechatronic and Embedded Systems and Applications
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Author:

Dadras Sara¹,Dadras Soodeh¹,Malek Hadi¹,Chen YangQuan²

Affiliation:

1. Utah State University, Logan, UT

2. University of California Merced, Merced, CA

Abstract

In this paper, stability of fractional order (FO) systems is investigated in the sense of the Lyapunov stability theory. A new definition for exponential stability of the fractional order systems is given and sufficient conditions are obtained for the exponential stability of the FO systems using the notion of Lyapunov stability. Besides, a less conservative sufficient condition is derived for asymptotical stability of FO systems. The stability analysis is done in the time domain. Numerical examples are given to show that the obtained conditions are effective and applicable in practice.

Publisher

American Society of Mechanical Engineers

Link

http://asmedigitalcollection.asme.org/IDETC-CIE/proceedings-pdf/doi/10.1115/DETC2017-68270/4225368/v009t07a033-detc2017-68270.pdf

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