A Describing Function for Nonlinear Systems with Memory Subject to Random Input

Levadi V. S.; Cosgriff R. L.

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A Describing Function for Nonlinear Systems with Memory Subject to Random Input

机译：具有随机输入记忆的非线性系统的描述函数

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摘要

The Fourier series representation of a random function is used to obtain the optimum (in the mean-square sense) linear approximation to systems with no memory and also for systems with energy storage. The optimality of the result is demonstrated.

机译：随机函数的傅立叶级数表示用于获得无内存系统和具有能量存储系统的最佳线性均值（均方意义）。证明了结果的最优性。

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《Applications and Industry, IEEE Transactions on》 |1964年第71期|共4页
作者
Levadi V. S.; Cosgriff R. L.;
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Northwestern University, Evanston, Ill.;

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1. Spectral analysis of block structured nonlinear systems and higher order sinusoidal input describing functions [J] . David Rijlaarsdam, Pieter Nuij, Johan Schoukens, Automatica . 2011,第12期

机译：块结构非线性系统和高阶正弦输入描述函数的频谱分析
2. Input-Output cross-correlation functions for some memory-type nonlinear systems with Gaussian inputs [J] . Leland Harold R. American Institute of Electrical Engineers, Part II: Applications and Industry, Transactions of the . 1960,第3期

机译：具有高斯输入的某些记忆型非线性系统的输入-输出互相关函数
3. A New Dual-Input Describing Function and an Application to the Stability of Forced Nonlinear Systems [J] . Gibson J. E., Sridhar R. Applications and Industry, IEEE Transactions on . 1963,第66期

机译：新的双输入描述函数及其在强迫非线性系统稳定性中的应用
4. Prediction of Limit Cycles in nonlinear systems with ideal relay type nonlinearities by using Multiple-input Describing Functions [C] . VALERI MLADENOV WSEAS International Conferences . 2009

机译：使用多输入描述函数预测理想继电器型非线性的非线性系统中的极限循环
5. ANALYSIS OF OSCILLATIONS IN NONLINEAR SYSTEMS USING MULTIPLE INPUT DESCRIBING FUNCTIONS. [D] . SWERN, FREDERIC LEE. 1981

机译：使用多个输入描述函数的非线性系统振动分析。
6. Functional Connectivity in Healthy Subjects Is Nonlinearly Modulated by the COMT and DRD2 Polymorphisms in a Functional System-Dependent Manner [O] . Tian Tian, Wen Qin, Bing Liu, 2013

机译：健康受试者中的功能连接性由功能依赖系统的COMT和DRD2多态性非线性调节。
7. On the Response of Nonlinear Control Systems Subjected to a Suddenly Applied Stationary Gaussian Random Input with the Mean Value : Response of Nonlinear Control Systems with Time-Invariant Characteristics [O] . Yoshikazu SAWARAGI, Yoshifumi SUNAHARA, Takashi SOEDA 1963

机译：在突然应用静止高斯随机输入的非线性控制系统的响应下的平均值：非线性控制系统与时不变特性的响应

A Describing Function for Nonlinear Systems with Memory Subject to Random Input

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