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Parametrization of the Input-Output Image of Nonlinear Dynamic Systems

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Abstract

For dynamic systems described by differential equations with smooth functions in the state space, the size of the parameter space is minimized such that the input-output image of the system is preserved by finding the complete set of algebraic invariants for a fixed structure of the equations of the system. A relationship between the constructs of the algebra of functions used in the problem and the mathematical constructs used in the differential geometric approach is established. A method for finding the algebraic invariants—the analogs of Markov parameters of linear systems—is described.

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Authors and Affiliations

  1. Institute of Automation and Control Processes, Far-Eastern Branch, Russian Academy of Sciences, Vladivostok, Russia

    A. E. Shumskii

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  1. A. E. Shumskii
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__________

Translated from Avtomatika i Telemekhanika, No. 8, 2005, pp. 173–183.

Original Russian Text Copyright © 2005 by Shumskii.

This work was supported by the Russian Foundation for Basic Research, project no. 03-01-00791.

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Shumskii, A.E. Parametrization of the Input-Output Image of Nonlinear Dynamic Systems. Autom Remote Control 66, 1347–1356 (2005). https://doi.org/10.1007/s10513-005-0175-1

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  • DOI: https://doi.org/10.1007/s10513-005-0175-1

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