Stability Analysis of Caputo Fractional-Order Nonlinear Systems Revisited
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Date
2012
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Open Access Color
Green Open Access
No
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No
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Impulse
Top 10%
Influence
Top 1%
Popularity
Top 0.1%
Abstract
In this paper stability analysis of fractional-order nonlinear systems is studied. An extension of Lyapunov direct method for fractional-order systems using Bihari's and Bellman-Gronwall's inequality and a proof of comparison theorem for fractional-order systems are proposed. © 2011 Springer Science+Business Media B.V.
Description
Keywords
Bihari'S Inequality, Bellman-Gronwall'S Inequality, Comparison Theorem, Fractional-Order Nonlinear System, Lyapunov Direct Method, Lyapunov's direct method, Bellman-Gronwall's inequality, Fractional derivatives and integrals, Nonlinear systems in control theory, fractional-order nonlinear system, Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory, Fractional ordinary differential equations, comparison theorem, Bihari's inequality
Fields of Science
0103 physical sciences, 01 natural sciences
Citation
Delavari, H., Baleanu, D., Sadati, J. (2012). Stability analysis of Caputo fractional-order nonlinear systems revisited. Nonlinear Dynamics, 67(4), 2433-2439. http://dx.doi.org/10.1007/s11071-011-0157-5
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
280
Source
Nonlinear Dynamics
Volume
67
Issue
4
Start Page
2433
End Page
2439
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CrossRef : 216
Scopus : 304
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324
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4
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