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arxiv: 1611.06665 · v4 · pith:R7BCNMUPnew · submitted 2016-11-21 · 🧮 math.OC

A New System of Global Fractional-order Interval Implicit Projection Neural Networks

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keywords fractional-orderglobalimplicitintervalnetworksneuralprojectionsystem
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The purpose of this paper is to introduce and investigate a new system of global fractional-order interval implicit projection neural networks. An existence and uniqueness theorem of the equilibrium point for such kind of global fractional-order interval implicit projection neural networks is obtained under some suitable assumptions. Moreover, Mittag-Leffler stability of the global fractional-order interval implicit projection neural networks is also proved. Finally, two numerical examples are given to illustrate the validity of our results.

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