Combinatorial Hopf Algebra and the Feedback Loop in Nonlinear Control Theory

来源 :第八届工业与应用数学国际大会 | 被引量 : 0次 | 上传用户：mzhouliqun

【摘要】

：

　　Fliess operators play a central role in the theory of nonlinear control systems.They are combined in several ways through interconnections to represent syst

【作者】

：

Ebrahimi-FardKurusch;

【机构】

：

ICMAT Inst.of Mathematical Sci.

【出处】

：

第八届工业与应用数学国际大会

【发表日期】

：

2015年期

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　　Fliess operators play a central role in the theory of nonlinear control systems.They are combined in several ways through interconnections to represent systems made out of subsystems.In this talk,we present a combinatorial description of the Hopf algebra underlying interconnections as well as the feedback loop by realizing its(co)algebraic structures on rooted circle trees.A Zimmermann forest formula for the antipode is given.

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Combinatorial Hopf Algebra and the Feedback Loop in Nonlinear Control Theory

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