Adaptive fuzzy synchronization of fractional-order chaotic neural networks with backlash-like hysteresis
type: Item
instance of: scholarly article
title: Adaptive fuzzy synchronization of fractional-order chaotic neural networks with backlash-like hysteresis
zbMATH Open document ID: 1440.93140
DOI: 10.1155/2018/7535628
author: Heng Liu
author: Wenqing Fu
published in: Advances in Mathematical Physics
publication date: 2018-12-11T00:00:00Z
review text: Summary: An adaptive fuzzy synchronization controller is designed for a class of fractional-order neural networks (FONNs) subject to backlash-like hysteresis input. Fuzzy logic systems are used to approximate the system uncertainties as well as the unknown terms of the backlash-like hysteresis. An adaptive fuzzy controller, which can guarantee the synchronization errors tend to an arbitrary small region, is given. The stability of the closed-loop system is rigorously analyzed based on fractional Lyapunov stability criterion. Fractional adaptation laws are established to update the fuzzy parameters. Finally, some simulation examples are provided to indicate the effectiveness and the robust of the proposed control method.
Mathematics Subject Classification ID: 93C42
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34A07
Mathematics Subject Classification ID: 34C55
Mathematics Subject Classification ID: 34D06
Mathematics Subject Classification ID: 34H10
Mathematics Subject Classification ID: 92B20
Mathematics Subject Classification ID: 93C40
zbMATH DE Number: 6992016
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/7535628
OpenAlex ID: W2805605987
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Wikidata QID: Q129711544
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description: scientific article; zbMATH DE number 6992016