Lyapunov functions for a class of nonlinear systems using Caputo derivative
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- 作者：G. Fernandez-Anayaa ; guillermo.fernandez@ibero.mx" class="auth_mail" title="E-mail the corresponding author ; G. Nava-Antonioa ; gnava95@hotmail.com" class="auth_mail" title="E-mail the corresponding author ; J. Jamous-Galante ; a ; jackjamousg@gmail.com" class="auth_mail" title="E-mail the corresponding author ; R. Muñ ; oz-Vegab ; rodrigo.munoz@uacm.edu.mx" class="auth_mail" title="E-mail the corresponding author ; E.G. Herná ; ndez-Martí ; nezc ; eduardo.gamaliel@ibero.mx" class="auth_mail" title="E-mail the corresponding author
- 关键词：Fractional calculus ; Stability of fractional order systems ; Fractional-order Lyapunov direct method ; Lyapunov functions
- 刊名：Communications in Nonlinear Science and Numerical Simulation
- 出版年：2017
- 出版时间：February 2017
- 年：2017
- 卷：43
- 期：Complete
- 页码：91-99
- 全文大小：586 K
文摘
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New Lemma to build Lyapunov functions for non-linear fractional order systems.
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Stability of nonlinear fractional systems using Lyapunov direct method.
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Asymptotic stability for nonlinear systems under Caputo fractional derivative for 0 < α < 1.