Synchronization of Strictly Different Hyperchaotic Systems with Uncertain Parameters and Models

IF 1.5 4区 工程技术 Q2 ENGINEERING, MULTIDISCIPLINARY International Journal of Nonlinear Sciences and Numerical Simulation Pub Date : 2014-01-21 DOI:10.1515/ijnsns-2012-0028
G. Solís-Perales, G. Obregon-Pulido, G. Ruiz-Velázquez
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Abstract

Abstract The synchronization of hyperchaotic systems with strictly different models measuring only output variables is presented. The synchronization of strictly different systems has been studied assuming the knowledge of the system parameters and/or the full knowledge of the systems to be synchronized. Here the synchronization of hyperchaotic systems is presented assuming that only the output system states are available for feedback. The controllers mainly counteract the effect of parametric uncertainties and differences between vector fields. The control actions are given by linearizing control laws and high gain state estimators, in such manner that both hyperchaotic systems are synchronous. Numerical simulation using the Rössler and Chen hyperchaotic systems is used to corroborate the results.
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具有不确定参数和模型的严格不同超混沌系统的同步
摘要研究了仅测量输出变量的严格不同模型超混沌系统的同步问题。研究了在已知系统参数和/或完全了解待同步系统的情况下,严格不同系统的同步问题。在假设只有输出系统状态可用于反馈的情况下,给出了超混沌系统的同步问题。控制器主要抵消参数不确定性和矢量场之间差异的影响。控制动作由线性化控制律和高增益状态估计器给出,使两个超混沌系统同步。利用Rössler和Chen超混沌系统的数值模拟证实了结果。
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来源期刊
CiteScore
2.80
自引率
6.70%
发文量
117
审稿时长
13.7 months
期刊介绍: The International Journal of Nonlinear Sciences and Numerical Simulation publishes original papers on all subjects relevant to nonlinear sciences and numerical simulation. The journal is directed at Researchers in Nonlinear Sciences, Engineers, and Computational Scientists, Economists, and others, who either study the nature of nonlinear problems or conduct numerical simulations of nonlinear problems.
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