G. Solís-Perales, G. Obregon-Pulido, G. Ruiz-Velázquez
{"title":"Synchronization of Strictly Different Hyperchaotic Systems with Uncertain Parameters and Models","authors":"G. Solís-Perales, G. Obregon-Pulido, G. Ruiz-Velázquez","doi":"10.1515/ijnsns-2012-0028","DOIUrl":null,"url":null,"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.","PeriodicalId":1,"journal":{"name":"Accounts of Chemical Research","volume":null,"pages":null},"PeriodicalIF":16.4000,"publicationDate":"2014-01-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1515/ijnsns-2012-0028","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Accounts of Chemical Research","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.1515/ijnsns-2012-0028","RegionNum":1,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"CHEMISTRY, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
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.
期刊介绍:
Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance.
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