A practical method to reconstruct the states and parameters of the Chua's system based on successive integrations of the output

Miguel S.Suarez Castañon; Carlos Aguilar Ibáñez

A practical method to reconstruct the states and parameters of the Chua's system based on successive integrations of the output

Miguel S.Suarez Castañon, Carlos Aguilar Ibáñez

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

We present a practical and simple method to reconstruct the parameters and the states of the Chua's system from the knowledge of a suitable output. First, we demonstrate that the system is constructible. Then, we describe how to obtain an integral output parametrization of the unknown states. An iterative integral equation of the output based on the previously integral parametrization, is obtained. One advantage of the presented method is that it is suitable to be numerically implemented by means of integrators and does not needs to calculate the derivatives of the output.

Original language	English
Title of host publication	Recent Advances in Intelligent Systems and Signal Processing
Publisher	World Scientific and Engineering Academy and Society
Pages	35-43
Number of pages	9
ISBN (Print)	9608052874
State	Published - 2003

Keywords

Chaos
Observability
Parameters Reconstruction
Variables Reconstruction

Cite this

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A practical method to reconstruct the states and parameters of the Chua's system based on successive integrations of the output. / Castañon, Miguel S.Suarez ; Ibáñez, Carlos Aguilar.
Recent Advances in Intelligent Systems and Signal Processing. World Scientific and Engineering Academy and Society, 2003. p. 35-43.

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

TY - CHAP

T1 - A practical method to reconstruct the states and parameters of the Chua's system based on successive integrations of the output

AU - Castañon, Miguel S.Suarez

AU - Ibáñez, Carlos Aguilar

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N2 - We present a practical and simple method to reconstruct the parameters and the states of the Chua's system from the knowledge of a suitable output. First, we demonstrate that the system is constructible. Then, we describe how to obtain an integral output parametrization of the unknown states. An iterative integral equation of the output based on the previously integral parametrization, is obtained. One advantage of the presented method is that it is suitable to be numerically implemented by means of integrators and does not needs to calculate the derivatives of the output.

AB - We present a practical and simple method to reconstruct the parameters and the states of the Chua's system from the knowledge of a suitable output. First, we demonstrate that the system is constructible. Then, we describe how to obtain an integral output parametrization of the unknown states. An iterative integral equation of the output based on the previously integral parametrization, is obtained. One advantage of the presented method is that it is suitable to be numerically implemented by means of integrators and does not needs to calculate the derivatives of the output.

KW - Chaos

KW - Observability

KW - Parameters Reconstruction

KW - Variables Reconstruction

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BT - Recent Advances in Intelligent Systems and Signal Processing

PB - World Scientific and Engineering Academy and Society

ER -

A practical method to reconstruct the states and parameters of the Chua's system based on successive integrations of the output

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Keywords

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