Control of the fractional-order Chen chaotic system via fractional-order scalar controller and its circuit implementation
type: Item
instance of: scholarly article
title: Control of the fractional-order Chen chaotic system via fractional-order scalar controller and its circuit implementation
zbMATH Open document ID: 1407.34086
DOI: 10.1155/2014/698507
author: Qiong Huang
author: C. Y. Dong
author: Qian Bin Chen
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: A fractional-order scalar controller which involves only one state variable is proposed. By this fractional-order scalar controller, the unstable equilibrium points in the fractional-order Chen chaotic system can be asymptotically stable. The present control strategy is theoretically rigorous. Some circuits are designed to realize these control schemes. The outputs of circuit agree with the results of theoretical results.
Mathematics Subject Classification ID: 34H10
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34H05
zbMATH DE Number: 7017055
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/698507
OpenAlex ID: W2046764997
Wikidata QID: Q59069117
cites work: Controlling chaos
cites work: Chaos control. Theory and applications
cites work: Chaos in a fractional order modified Duffing system
cites work: Chaos in Chen's system with a fractional order
cites work: Hyperchaos, chaos, and horseshoe in a 4D nonlinear system with an infinite number of equilibrium points
cites work: A new 4-D non-equilibrium fractional-order chaotic system and its circuit implementation
cites work: Chaos synchronization between two different fractional-order hyperchaotic systems
cites work: Synchronization of N-coupled incommensurate fractional-order chaotic systems with ring connection
cites work: Phase and anti-phase synchronization of fractional order chaotic systems via active control
cites work: Adaptive synchronization of fractional-order chaotic systems via a single driving variable
cites work: Observer-based projective synchronization of fractional systems via a scalar signal: application to hyperchaotic Rössler systems
cites work: Stabilization of fractional-order chaotic system via a single state adaptive-feedback controller
cites work: Chaos control via a simple fractional-order controller
cites work: A novel control method for integer orders chaos systems via fractional-order derivative
cites work: Function projective synchronization for fractional-order chaotic systems
cites work: Equilibrium points, stability and numerical solutions of fractional-order predator-prey and rabies models
cites work: Adaptive feedback control and synchronization of non-identical chaotic fractional order systems
cites work: A note on phase synchronization in coupled chaotic fractional order systems
cites work: Chaos control of a fractional order modified coupled dynamos system
cites work: Fractional dynamical system and its linearization theorem
cites work: A novel non-equilibrium fractional-order chaotic system and its complete synchronization by circuit implementation
cites work: Adaptive synchronization for uncertain chaotic systems with external disturbance
cites work: Adaptive H Anti-Synchronization for Time-Delayed Chaotic Neural Networks
cites work: T-S fuzzy \(\mathbb H_{\infty }\) synchronization for chaotic systems via delayed output feedback control
cites work: Output feedback \(\mathbb H_{\infty }\) synchronization for delayed chaotic neural networks
cites work: An \(H_{\infty }\) approach to anti-synchronization for chaotic systems
description: scientific article; zbMATH DE number 7017055