Synchronization and antisynchronization for a class of chaotic systems by a simple adaptive controller
type: Item
instance of: scholarly article
title: Synchronization and antisynchronization for a class of chaotic systems by a simple adaptive controller
zbMATH Open document ID: 1394.34130
DOI: 10.1155/2015/434651
author: Ling Ren
author: R. Guo
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: This paper investigates the synchronization and antisynchronization for a class of chaotic system. Firstly, a necessary and sufficient condition is proposed to synchronize and antisynchronization simultaneously for the chaotic systems. Secondly, two methods are obtained to realize coexistence of synchronization and antisynchronization in the chaotic systems, and the corresponding adaptive controllers are also given. Finally, two numerical examples with simulation verify the correctness and effectiveness of the obtained results.
Mathematics Subject Classification ID: 34H10
Mathematics Subject Classification ID: 34D06
Mathematics Subject Classification ID: 93C40
zbMATH DE Number: 6926348
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/434651
OpenAlex ID: W1921335722
Wikidata QID: Q59118575
cites work: Deterministic Nonperiodic Flow
cites work: An equation for continuous chaos
cites work: On Endogenous Competitive Business Cycles
cites work: Synchronization in chaotic systems
cites work: Controlling chaos
cites work: Controlling chaos in high dimensional systems
cites work: Asymptotic Tracking Control of Uncertain Nonlinear Systems With Unknown Actuator Nonlinearity
cites work: Exact tracking control of nonlinear systems with time delays and dead-zone input
cites work: Observer design for uncertain nonlinear systems with unmodeled dynamics
cites work: Asymptotic tracking control of uncertain nonlinear systems with unknown actuator nonlinearity and unknown gain signs
cites work: A simple adaptive controller for chaos and hyperchaos synchronization
cites work: Feedback control design for Rössler and Chen chaotic systems anti-synchronization
cites work: Adaptive anti-synchronization of chaotic systems with fully unknown parameters
cites work: Criteria for the occurrence of projective synchronization in chaotic systems of arbitrary dimension
cites work: Q5594821
cites work: Synchronization and anti-synchronization coexist in two-degree-of-freedom dissipative gyroscope with nonlinear inputs
cites work: Coexistence of anti-phase and complete synchronization in the generalized Lorenz system
cites work: The solution of a transcendental problem and its applications in simultaneous stabilization problems
cites work: Adaptive control and synchronization of a modified Chua's circuit system.
cites work: Adaptive stabilization of uncertain unified chaotic systems with nonlinear input
description: scientific article; zbMATH DE number 6926348