Quasi-uniform synchronization of Caputo type fractional neural networks with leakage and discrete delays. (English) Zbl 1510.34167
Summary: This paper discusses the quasi-uniform synchronization issue for fractional-order neural networks (FONNs) with leakage and discrete delays. The impacts of leakage delay, discrete delay and fractional derivative on the quasi-uniform synchronization are simultaneously considered. By employing the Laplace transformation, the Gronwall inequality and analytical techniques, several sufficient criteria of the quasi-uniform synchronization for FONNs with leakage and discrete delays are established. The criterion conditions reveal the less conservatism because the order of fractional derivative is in the interval (0,2). The presented results are related to the classical exponential function, where it is not necessary to calculate fractional-order derivatives to reduce the complexities. Taking into account the different orders of fractional derivative, the validity and applicability of the proposed results are verified by the numerical simulations.
MSC:
| 34K24 | Synchronization of functional-differential equations |
| 34K37 | Functional-differential equations with fractional derivatives |
| 44A10 | Laplace transform |
| 92B20 | Neural networks for/in biological studies, artificial life and related topics |
Keywords:
leakage delay; fractional neural networks; quasi-uniform synchronization; Laplace transformationReferences:
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