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Nonlinear Dynamics

, Volume 77, Issue 4, pp 1251–1260 | Cite as

Global Mittag-Leffler stability and synchronization of impulsive fractional-order neural networks with time-varying delays

  • Ivanka Stamova
Original Paper

Abstract

In this paper we consider a class of impulsive Caputo fractional-order cellular neural networks with time-varying delays. Applying the fractional Lyapunov method and Mittag-Leffler functions, we give sufficient conditions for global Mittag-Leffler stability which implies global asymptotic stability of the network equilibrium. Our results provide a design method of impulsive control law which globally asymptotically stabilizes the impulse free fractional-order neural network time-delay model. The synchronization of fractional chaotic networks via non-impulsive linear controller is also considered. Illustrative examples are given to demonstrate the effectiveness of the obtained results.

Keywords

Global Mittag-Leffler stability  Synchronization Neural networks Fractional-order derivatives Time-varying delays Impulsive control Lyapunov method 

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Copyright information

© Springer Science+Business Media Dordrecht 2014

Authors and Affiliations

  1. 1.Department of MathematicsThe University of Texas at San AntonioSan AntonioUSA

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