Stability of fractional-order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag–Leffler stability

Author:

Li Yan,Chen YangQuan,Podlubny Igor

Publisher

Elsevier BV

Subject

Computational Mathematics,Computational Theory and Mathematics,Modeling and Simulation

Reference17 articles.

1. Lyapunov stability solutions of fractional integrodifferential equations;Momani;International Journal of Mathematics and Mathematical Sciences,2004

2. Extension of Lyapunov second method by fractional calculus;Zhang;Pure and Applied Mathematics,2005

3. Vasily E. Tarasov, Fractional stability, 2007. Available online: http://arxiv.org/abs/0711.2117v1

4. YangQuan Chen, Ubiquitous fractional order controls? in: Proceedings of the Second IFAC Workshop on Fractional Differentiation and Its Applications, Porto, Portugal, 2006

5. Jocelyn Sabatier, On stability of fractional order systems, in: Plenary Lecture VIII on 3rd IFAC Workshop on Fractional Differentiation and its Applications, Ankara, Turkey, 05–07 November, 2008

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