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  • 标题:Kinetic realization of delayed polynomial dynamical models
  • 本地全文:下载
  • 作者:Mihály Vághy ; Gergely Szlobodnyik ; Gábor Szederkényi
  • 期刊名称:IFAC PapersOnLine
  • 印刷版ISSN:2405-8963
  • 出版年度:2019
  • 卷号:52
  • 期号:7
  • 页码:45-50
  • DOI:10.1016/j.ifacol.2019.07.008
  • 语种:English
  • 出版社:Elsevier
  • 摘要:AbstractIn this paper, we study the kinetic realization problem of nonnegative delayed polynomial systems. Given a set of delayed polynomial differential equations, the task is to assign a chemical reaction network structure that realizes its dynamics. We show that similarly to the non-delayed case, this problem is generally non-uniquely solvable. We extend existing results for the realization of non-delayed models by proposing an algorithm to build delayed realizations and proving that the so-called dense realization defines a superstructure in the delayed case, too. The notions and results are shown on a simple illustrative example.
  • 关键词:Keywordsnonlinear modelsnonnegative systemstime-delaykinetic systemsdirected graphs
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