可因式Volterra系统的可达性、可观察性和实现理论

T. Harper, W. Rugh
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引用次数: 1

摘要

非线性系统理论的一个长期存在的方法是使用Volterra级数来表示输入/输出行为。从微分方程描述和输入/输出实验中确定级数项的技术已经发展起来。然而,这种表示的普遍性在某种意义上忽略了所考虑的系统的结构特征,这往往排除了数学上的可追溯性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Reachability, observability, and realization theory for factorable Volterra systems
A long standing approach to nonlinear system theory is the use of Volterra series to represent Input/output behavior. Techniques have been developed for determining the terms in the series from differential equation descriptions and from Input/output experiments. However the generality of this representation in a sense ignores structural features of the system under consideration, and this often precludes mathematical tractibility.
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