Journal
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
Volume 48, Issue 5, Pages 984-993Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/00207721.2016.1226985
Keywords
Finite-time stability; fractional-order; discrete time delay; nonlinear system
Categories
Funding
- scientific research foundation of National Science Foundation [51479173, 51279167]
- Fundamental Research Funds for the Central Universities [201304030577]
- Scientific research funds of Northwest AF University [2013BSJJ095]
- Scientific research foundation on water engineering of Shaanxi Province [2013slkj-12]
- Science Fund for Excellent Young Scholars from Northwest AF University [Z109021515]
- Shaanxi nova programme [2016KJXX-55]
- Outstanding Youth Foundation of National Natural Science Foundation [51622906]
Ask authors/readers for more resources
This paper investigates the finite-time stability problem of a class of nonlinear fractional-order systemwith the discrete time delay. Employing the Laplace transform, the Mittag-Leffler function and the generalised Gronwall inequality, the new criterions are derived to guarantee the finite-time stability of the system with the fractional-order 0 < alpha < 1. Further, we propose the sufficient conditions for ensuring the finite-time stability of the systemwith the fractional-order 1 < alpha < 2. Finally, based on the modified Adams-BashforthMoulton algorithm for solving fractional-order differential equations with the time delay, we carry out the numerical simulations to demonstrate the effectiveness of the proposed results, and calculate the estimated time of the finite-time stability.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available