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
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.
