Nikolay Karabutov

Identification of Quality Indicators Dynamic System on Basis of Analysis Data "Input-Output"

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Author(s)

1. Dept. of Problems Control, Moscow state engineering university of radio engineering, electronics and automation, Financial University under the government of the Russian Federation

* Corresponding author.

DOI: https://doi.org/10.5815/ijisa.2014.09.01

Received: 5 Dec. 2013 / Revised: 12 Mar. 2014 / Accepted: 11 May 2014 / Published: 8 Aug. 2014

Index Terms

Equilibrium State Point, Spectrum of Eigenvalues, Identification, Structure, Lyapunov Exponents

Abstract

The problem of an estimation quality indicators of linear dynamic system in the conditions of uncertainty is considered. Quality indicators are a point of an equilibrium state and a spectrum of eigenvalues. We offer a method of an estimation a point of an equilibrium state. Method is based on identification of the particular solution system on a class of static models with the dynamic specification on an input. We offered on the basis of the general decision of system procedures and criteria of an estimation equilibrium state. After an estimation of equilibrium state system in work the problem of definition a spectrum eigenvalues of linear dynamic system is considered. We form the time series describing a modification of Lyapunov exponents. For identification of a spectrum eigenvalues we introduce special structures which describe a modification of the Lyapunov exponent. We apply a method of the secant structures and we receive spectrum tentative estimations. The special structure, allowing identifying the largest Lyapunov exponent, is offered. Generalization of the offered methods on linear non-stationary dynamic systems is given.

Cite This Paper

Nikolay Karabutov, "Identification of Quality Indicators Dynamic System on Basis of Analysis Data "Input-Output"", International Journal of Intelligent Systems and Applications(IJISA), vol.6, no.9, pp.1-11, 2014. DOI:10.5815/ijisa.2014.09.01

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International Journal of Intelligent Systems and Applications (IJISA)