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Open AccessJournal ArticleDOI

Identification and modelling of a class of nonlinear systems

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TLDR
In this article, an identification procedure based on Volterra-Wiener functional expansion representations of a class of nonlinear systems often encountered in practice is presented, which can be used for modelling and validation studies of this class of systems from experimental input-output data.
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This article is published in Mathematical and Computer Modelling.The article was published on 1989-08-01 and is currently open access. It has received 9 citations till now. The article focuses on the topics: Nonlinear system identification & Nonlinear system.

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Citations
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Journal ArticleDOI

Wiener analysis of nonlinear feedback in sensory systems.

TL;DR: Analytical results offer the analytical means to relate Wiener kernel measurements with corresponding nonlinear feedback models and, thus, the ability to model the overall dynamics of such sensory systems.
Journal ArticleDOI

On the relation between continuous and discrete nonlinear parametric models

TL;DR: The ‘kernel invariance method’ is presented, which is a conceptual extension of the ‘impulse invariance methods’ in linear system modeling, as the means for defining the equivalence between continuous discrete nonlinear models.
Journal ArticleDOI

Nonlinear parametric models from volterra kernels measurements

TL;DR: In this paper, a method for obtaining a parametric NARMAX (Nonlinear Auto-Regressive Moving-Average with exogenous input) model from Volterra kernels estimated by use of input-output data is presented.
Proceedings ArticleDOI

Wiener Analysis Of Nonlinear Feedback In Sensory Systems

TL;DR: Analytical results offer the analytical means to relate Wiener kernel measurements with corresponding nonlinear feedback models and, thus, the ability to model the overall dynamics of such sensory systems.
Journal ArticleDOI

Unstable behaviour of rocks

TL;DR: In this paper, a non-destructive testing technique based on ultrasonic pulse propagation and a nonlinear analyser was used to simulate the unstable behavior of brittle rock material under static compressive loading.
References
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Book

The Volterra and Wiener Theories of Nonlinear Systems

TL;DR: In this article, a complete and detailed development of the analysis, design and characterization of non-linear systems using the Volterra and Wiener theories, as well as gate functions, is presented.
Book

Nonlinear Problems in Random Theory

TL;DR: A series of lectures on the role of nonlinear processes in physics, mathematics, electrical engineering, physiology, and communication theory was given in this article, where the last few of these were devoted to the application of my ideas to problems in the statistical mechanics of gases.
Journal ArticleDOI

Measurement of the Wiener Kernels of a Non-linear System by Cross-correlation†

TL;DR: In this article, a practical and relatively simple method of measuring the Wiener kernels of a non-linear system is presented, which is based upon cross-correlation techniques and avoids orthogonal expansions such as those of the original Wiener method of measurement.
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