Feedback Equivalence of 1-dimensional Control Systems of the 1-st Order
Valentin Lychagin
TL;DR
This paper investigates the feedback equivalence problem for first-order one-dimensional control systems, deriving algebraic invariants and criteria to determine when systems are feedback equivalent.
Contribution
It introduces the algebra of differential invariants and provides criteria for feedback equivalence in regular control systems, advancing the theoretical understanding of system classification.
Findings
Derived algebra of differential invariants.
Established criteria for feedback equivalence.
Characterized feedback equivalence for regular systems.
Abstract
The problem of local feedback equivalence for 1-dimensional control systems of the 1-st order is considered. The algebra of differential invariants and criteria for the feedback equivalence for regular control systems are found.
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Taxonomy
TopicsMathematical Control Systems and Analysis · Aerospace Engineering and Control Systems