SMT Formulations of Sufficient Conditions for Forward Invariance in Continuous Dynamical Systems

A series of sufficient conditions for proving forward invariance in continuous dynamical systems are presented. The conditions are based on Nagumo's Theorem, and their applicability, computability, and robustness are demonstrated through a series of examples.

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Published
2025-05-06
DOI
https://doi.org/10.1145/3716863.3725205
Primary Topic
Numerical methods for differential equations
Type
article
Field-Weighted Citation Impact
0.00

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article

SMT Formulations of Sufficient Conditions for Forward Invariance in Continuous Dynamical Systems

Michael Livesay, Blake C. Rawlings
Numerical methods for differential equations
article

SMT Formulations of Sufficient Conditions for Forward Invariance in Continuous Dynamical Systems

Michael Livesay, Blake C. Rawlings
article en

Abstract

A series of sufficient conditions for proving forward invariance in continuous dynamical systems are presented. The conditions are based on Nagumo's Theorem, and their applicability, computability, and robustness are demonstrated through a series of examples.

Sandia National Laboratories California (US), Sandia National Laboratories (US)
U.S. Department of Energy, National Nuclear Security Administration, Sandia National Laboratories
Openalex Percentile: Top 83%
Numerical methods for differential equations
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