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March 23, 2026Open Access

Admissible Trajectories Structural Motion Through Constraint Space

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Authors

APAndrew John Paton

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Overview

Introduces a framework that analyzes system motion through constraint space, suggesting new methods for stability and reachability.

Key Points

  • The research aims to define admissible trajectories as paths through state space that stay within admissible regions.
  • Introduced admissible trajectories framework within the Paton System
  • Built upon existing concepts like admissibility field and viability gradient
  • Developed a method for analyzing motion without changing governing equations
  • Established a new path-based extension for admissibility analysis
  • Enabled examination of reachability and stability dynamics
  • Provided a domain-independent approach to analyze structural motion

Cite This Study

Andrew John Paton (2026) studied this question.

synapsesocial.com/papers/69c0e007fddb9876e79c17e7https://doi.org/10.5281/zenodo.19146865
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