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

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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.

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  1. Department of Mathematics, The University of Texas at San Antonio, San Antonio, TX, 78249, USA

    Ivanka Stamova

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  1. Ivanka Stamova
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Correspondence to Ivanka Stamova.

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Stamova, I. Global Mittag-Leffler stability and synchronization of impulsive fractional-order neural networks with time-varying delays. Nonlinear Dyn 77, 1251–1260 (2014). https://doi.org/10.1007/s11071-014-1375-4

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