Journal ArticleDOI
On the Identification Problem
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TLDR
In this paper, the identification of zero-memory multipoles and two-poles of class n_1 was studied, where the test signals are sine waves of different amplitudes and frequencies, and the measured quanity is the describing function of the device.Abstract:
The identification problem involves the determination of the identity of a black box from the observation of its responses to a set of input signals. In this paper attention is focused on the identification of zero-memory multipoles and two-poles of class n_1 . The test signals are sine waves of different amplitudes and frequencies, and the measured quanity is the describing function of the device. In the case of two-poles of class n_1 , it is found that the describing function is related to the characteristic function by an integral equation of second order which can be solved explicitly by the use of the Fourier-Hankel transformation.read more
Citations
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Journal ArticleDOI
An iterative method for the identification of nonlinear systems using a Hammerstein model
Kumpati S. Narendra,P. Gallman +1 more
TL;DR: In this article, an iterative method is proposed for the identification of nonlinear systems from samples of inputs and outputs in the presence of noise, which consists of a no-memory gain (of an assumed polynomial form) followed by a linear discrete system.
Journal ArticleDOI
Perspectives on System Identification
TL;DR: This presentation aims at giving an overview of the “science” side of System identification, i.e. basic principles and results and at pointing to open problem areas in the practical, “art”, side of how to approach and solve a real problem.
Journal ArticleDOI
Closed-loop and activity-guided optogenetic control.
TL;DR: This work highlights technical and theoretical foundations as well as recent advances and opportunities in optogenetic experimentation in the context of addressing these challenges with closed-loop optogenetics control in behaving animals.
Journal ArticleDOI
Frequency domain identification of Hammerstein models
TL;DR: In this paper, a frequency domain approach was proposed to identify the Hammerstein model in the frequency domain using sampled input-output data, and its convergence was shown for both the linear and nonlinear subsystems in the presence of noise.
Journal ArticleDOI
Frequency domain identification of Wiener models
TL;DR: A frequency domain algorithm for Wiener model identifications based on exploring the fundamental frequency and harmonics generated by the unknown nonlinearity is proposed.
References
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Journal ArticleDOI
The Orthogonal Development of Non-Linear Functionals in Series of Fourier-Hermite Functionals
R. H. Cameron,W. T. Martin +1 more
TL;DR: In this paper, Kaczmarz and Steinhaus [I, pp. 143-144] showed that the equality W 1~~~~~~~~~~~~ |G a, ot(t) dx(t), *,Iap(t)-dx(t)] dwx (2.5) c 00 -p/2 L G(ui, *, up)euhu du,... du.
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Note on N-dimensional hermite polynomials
TL;DR: In this article, it is shown that a complete set of orthonormal polynomials in N variables can be obtained by using products of such polynomial in a single variahle.
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A contribution to the theory of nonlinear systems
TL;DR: In this paper, a system of classification for nonlinear two-poles is introduced and some of the basic properties of twopoles of various classes are established, such that each class in the sequence is a subclass of all the classes following it.
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The Measurement and Representation of Nonlinear Systems
TL;DR: In this paper, a general approach is presented in which the response is approximated by a linear combination of responses of known systems, and the coefficients in this combination are the parameters that are to be determined.
Journal ArticleDOI
A method for evaluating nonlinear servomechanisms
TL;DR: In this article, a method is presented for determining a valid mathematical description of a class of nonlinear servomechanisms from measurements of the servo response to a set of input signals.