Stability Analysis of Caputo-Like Discrete Fractional Systems
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Date
2017
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier
Open Access Color
Green Open Access
No
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Top 1%
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Top 1%
Abstract
This study investigates stability of Caputo delta fractional difference equations. Solutions' monotonicity and asymptotic stability of a linear fractional difference equation are discussed. A stability theorem for a discrete fractional Lyapunov direct method is proved. Furthermore, an inequality is extended from the continuous case and a sufficient condition is given. Some linear, nonlinear and time varying examples are illustrated and the results show wide prospects of the stability theorems in fractional control systems of discrete time. (C) 2017 Elsevier B.V. All rights reserved.
Description
Wu, Guo-Cheng/0000-0002-1946-6770
ORCID
Keywords
Fractional Difference Equations, Monotonicity, Asymptotic Stability, Caputo-Like Delta Difference, asymptotic stability, fractional difference equations, Caputo-like delta difference, Stability theory for difference equations, Difference equations, scaling (\(q\)-differences), Growth, boundedness, comparison of solutions to difference equations, Discrete version of topics in analysis, monotonicity
Fields of Science
0103 physical sciences, 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology, 01 natural sciences
Citation
Baleanu, D..., [et.al.]. (2017). Stability analysis of Caputo-like discrete fractional systems. Communications In Nonlinear Science And Numerical Simulation, 48,520-530.http://dx.doi.org/ 10.1016/j.cnsns.2017.01.002
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
154
Source
Communications in Nonlinear Science and Numerical Simulation
Volume
48
Issue
Start Page
520
End Page
530
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Citations
CrossRef : 99
Scopus : 181
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Mendeley Readers : 19
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