非线性系统的素数分解与间隙度量

42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475) Pub Date : 2003-12-09 DOI:10.1109/CDC.2003.1272314

W. Bian, M. French

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引用次数: 5

摘要

利用非线性信号算子的归一化互素分解定义了几个图和间隙度量。讨论了它们与Georgiou型和Smith型间隙度量的关系。证明了这两类度量的拓扑结构是等价的。a /spl rho/-间隙度规的公式和乔治亚型间隙度规的非线性推广是相等的。

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Coprime factorisation and gap metric for nonlinear systems

Several graph and gap metrics are defined using normalized coprime factorisations for nonlinear signal operators. Their relation to the gap metrics of a Georgiou and Smith type are discussed. It is proved that the topological structures of the two classes of metrics are equivalent. Formulas for a /spl rho/-gap metric and a nonlinear generalization of the Georgiou-type gap metric are shown to be equal.

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42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)

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