ON EQUIVALENCE OF LINEAR CONTROL SYSTEMS AND ITS USAGE TO VERIFICATION OF THE ADEQUACY OF DIFFERENT MODELS FOR A REAL DYNAMIC PROCESS

ON EQUIVALENCE OF LINEAR CONTROL SYSTEMS AND ITS USAGE TO VERIFICATION OF THE ADEQUACY OF DIFFERENT MODELS FOR A REAL DYNAMIC PROCESS

A problem of description of algebraic invariants for a linear control system that determine its structure is considered. With the help of these invariants, the equivalence problem of two linear time-invariant control systems with respect to actions of some linear groups on the spaces of inputs, outp...

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Bibliographic Details
Main Authors: Vasiliy Ye. Belozyorov, Danylo V. Dantsev, Svetlana A. Volkova
Format: Article
Language:English
Published: Oles Honchar Dnipro National University 2020-04-01
Series:Journal of Optimization, Differential Equations and Their Applications
Subjects:
linear time-invariant control system
system of ordinary autonomous differential equations
complete linear group
special linear group
exterior degree
algebraic invariant
null-form
neural network
activation function
Online Access:https://model-dnu.dp.ua/index.php/SM/article/view/143

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