  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.

Optimization and Control;Systems and Control;Systems and Control