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  • 标题:On the robust synchronization of Brockett oscillators
  • 本地全文:下载
  • 作者:Hafiz Ahmed ; Rosane Ushirobira ; Denis Efimov
  • 期刊名称:IFAC PapersOnLine
  • 印刷版ISSN:2405-8963
  • 出版年度:2016
  • 卷号:49
  • 期号:14
  • 页码:142-147
  • DOI:10.1016/j.ifacol.2016.07.999
  • 语种:English
  • 出版社:Elsevier
  • 摘要:AbstractIn this article, motivated by a recent work of R. Brockett Brockett (2013), we study a robust synchronization problem for multistable Brockett oscillators within an Input-to-State Stability (ISS) framework. Based on a recent generalization of the classical ISS theory to multistable systems and its application to the synchronization of multistable systems, a synchronization protocol is designed with respect to compact invariant sets of the unperturbed Brockett oscillator. The invariant sets are assumed to admit a decomposition without cycles (i.e.with neither homoclinic nor heteroclinic orbits). Contrarily to the local analysis of Brockett (2013), the conditions obtained in our work are global and applicable for family of non-identical oscillators. Numerical simulation examples illustrate our theoretical results.
  • 关键词:KeywordsInput-to-State StabilitysynchronizationmultistabilityBrockett oscillator
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