Author:
Chen Liping,Xue Min,Lopes António,Wu Ranchao,Chen YangQuan
Abstract
AbstractThis paper addresses the asymptotic behavior of systems described by nonlinear differential equations with two fractional derivatives. Using the Mittag–Leffler function, the Laplace transform, and the generalized Gronwall inequality, a sufficient asymptotic stability condition is derived for such systems. Numerical examples illustrate the theoretical results.
Publisher
Springer Science and Business Media LLC
Subject
General Engineering,General Mathematics
Reference21 articles.
1. Das S (2011) Functional fractional calculus, vol 1. Springer, Berlin
2. Hilfer R (2000) Applications of fractional calculus in physics. World Scientific, Singapore
3. Chen L, He Y, Chai Y, Wu R (2014) New results on stability and stabilization of a class of nonlinear fractional-order systems. Nonlinear Dyn 75(4):633–641
4. Lu J-G, Chen G (2009) Robust stability and stabilization of fractional-order interval systems: an LMI approach. IEEE Trans Autom Control 54(6):1294–1299
5. Chen L, Wu R, He Y, Yin L (2015) Robust stability and stabilization of fractional-order linear systems with polytopic uncertainties. Appl Math Comput 257:274–284
Cited by
2 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献