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Time-scaling of affine systems by control inputs
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Journal Article
Time-scaling of affine systems by control inputs
2025
Overview
This study investigates the structure of affine systems through an exploration of time-scaling properties induced by control inputs. By leveraging the Frobenius theorem and the principles of involutive distributions, we uncover that system dynamics can be effectively decomposed into time-scaled flows of commuting vector fields. This decomposition enhances the geometric understanding of affine systems and provides a theoretical perspective that may inform future developments in control design and performance evaluation. The proposed framework is general and flexible, and is expected to provide a foundation for future theoretical advances in nonlinear control theory, which may potentially be extended to practical applications such as plant design or performance optimization.
Publisher
Taylor & Francis,Taylor & Francis Ltd,Taylor & Francis Group
Subject
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