Classifications of Linear Controlled Systems
Jing Li
TL;DR
This paper investigates the classifications of linear controlled systems, establishing conditions for their linear, topological, and differential equivalences, and showing differential equivalence coincides with linear equivalence.
Contribution
It provides necessary and sufficient conditions for linear and topological equivalence and proves differential equivalence is equivalent to linear equivalence for these systems.
Findings
Necessary and sufficient conditions for linear equivalence
Necessary and sufficient conditions for topological equivalence
Differential equivalence coincides with linear equivalence
Abstract
This paper is devoted to a study of linear, differential and topological classifications for linear controlled systems governed by ordinary differential equations. The necessary and sufficient conditions for the linear and topological equivalence are given. It is also shown that the differential equivalence is the same as the linear equivalence for the linear controlled systems.
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Taxonomy
TopicsMathematical Control Systems and Analysis