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Pré-Publication, Document De Travail Année : 2023

SOStab: a Matlab Toolbox for Approximating Regions of Attraction of Nonlinear Systems

Résumé

This paper presents a novel Matlab toolbox, aimed at facilitating the use of polynomial optimization for stability analysis of nonlinear systems. Indeed, in the past decade several decisive contributions made it possible to recast the difficult problem of computing stability regions of nonlinear systems, under the form of convex optimization problems that are tractable in modest dimensions. However, these techniques combine sophisticated frameworks such as algebraic geometry, measure theory and mathematical programming, and existing software still requires their user to be fluent in Sum-of-Squares and Moment programming, preventing these techniques from being used more widely in the control community. To address this issue, SOStab entirely automates the writing and solving of optimization problems, and directly outputs relevant data for the user, while requiring minimal input. In particular, no specific knowledge of optimization is needed to use it.
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Dates et versions

hal-04056253 , version 1 (05-04-2023)
hal-04056253 , version 2 (11-10-2023)
hal-04056253 , version 3 (02-04-2024)

Identifiants

Citer

Stéphane Drobot, Matteo Tacchi, Colin N. Jones. SOStab: a Matlab Toolbox for Approximating Regions of Attraction of Nonlinear Systems. 2023. ⟨hal-04056253v1⟩
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