论文标题

用于陈 - 流利系列网络的生成系列

Generating Series for Networks of Chen-Fliess Series

论文作者

Gray, W. Steven, Ebrahimi-Fard, Kurusch

论文摘要

考虑一组单输入的单输出非线性系统,其输入输出图仅以收敛性陈列量序列描述,而没有任何假设,即有限的尺寸状态空间模型可用。结果表明,此类系统的任何加性或乘法互连始终都具有陈列 - 流利系列表示形式,可以根据迭代的正式谎言衍生物明确计算。

Consider a set of single-input, single-output nonlinear systems whose input-output maps are described only in terms of convergent Chen-Fliess series without any assumption that finite dimensional state space models are available. It is shown that any additive or multiplicative interconnection of such systems always has a Chen-Fliess series representation that can be computed explicitly in terms of iterated formal Lie derivatives.

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