The use of exponential-differential transformations in solving of the nonlinear circuits and control systems equations

The problem of nonlinear system modeling consists of searching for an operator which transforms a class of source effects in the target class. Having a series of test signals and their responses, it is possible to try to restore the transforming operator, but in the general case for each action it a...

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Bibliographic Details
Main Authors: Golovin, E.D., Stoukatch, O.V.
Format: Conference Proceeding
Language:English
Subjects:
Control systems
Differential algebraic equations
Differential equations
Image restoration
Mathematical model
Nonlinear control systems
Nonlinear equations
Nonlinear systems
Radio control
Signal restoration
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Summary:The problem of nonlinear system modeling consists of searching for an operator which transforms a class of source effects in the target class. Having a series of test signals and their responses, it is possible to try to restore the transforming operator, but in the general case for each action it appears different. It is difficult because of low approximating operator exactitude and inconvenience of its form for further handling. In this paper the authors show that by using exponential-differential transformations the source signal can be precisely restored.
DOI:10.1109/SREDM.2001.939178