This article is cited in 1 paper

Technical Diagnostics

Parametrization of the input-output image of nonlinear dynamic systems

A. E. Shumsky

Institute for Automation and Control Processes, Far Eastern Branch of the Russian Academy of Sciences

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.

Presented by the member of Editorial Board: P. P. Parkhomenko

Received: 20.04.2004

 English version: Automation and Remote Control, 2005, 66:8, 1347–1356

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