Feedback Differential Invariants
Valentin Lychagin
TL;DR
This paper develops an algebraic framework of differential invariants to determine feedback equivalence in control systems, providing criteria for regular systems to identify when two systems are feedback equivalent.
Contribution
It introduces an algebra of differential invariants and establishes criteria for feedback equivalence in regular control systems, advancing the theoretical understanding of system classification.
Findings
Derived algebra of differential invariants for control systems
Established criteria for feedback equivalence of regular systems
Provided a mathematical framework for system classification
Abstract
The problem of feedback equivalence for control systems is considered. An algebra of differential invariants and criteria for the feedback equivalence for regular control systems are found.
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Taxonomy
TopicsEducational Technology and Optimization · Mathematical Control Systems and Analysis