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arXiv 0709.2935math.CAcs.SC
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线性定常系统和网络理论代数方法的推广：全AC演算

An Extension to an Algebraic Method for Linear Time-Invariant System and Network Theory: The full AC-Calculus

Eberhard H. -A. Gerbracht

备注：
V1: documentclass IEEEtran, 6 pages, 1 figure. Re-release of the printed version, with some minor typographical errors corrected
发表信息：
Proceedings of the Fifth International Workshop on Symbolic Methods and Applications in Circuit Design, SMACD '98, Kaiserslautern, October 8-9, 1998; The SMACD Committee (Ed.); pp. 134-139; ISSN 1029-9505
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摘要：

受线性电路理论中相量分析的启发，提出了与之对应的正弦交流运算。Marten和W. Mathis -我们定义了一个复结构上的几个空间的实值初等函数。这是用来代数化非齐次线性常微分方程的不均匀性源于这些空间。由此我们推出了一种用纯代数方法计算这些常微分方程的特解的有效方法。

英文摘要：

Being inspired by phasor analysis in linear circuit theory, and its algebraic counterpart - the AC-(operational)-calculus for sinusoids developed by W. Marten and W. Mathis - we define a complex structure on several spaces of real-valued elementary functions. This is used to algebraize inhomogeneous linear ordinary differential equations with inhomogenities stemming from these spaces. Thus we deduce an effective method to calculate particular solutions of these ODEs in a purely algebraic way.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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