Learning the Dynamics of Nonlinear Systems with Regional Stability Guarantees through Linear Matrix Inequality Constraints
Accepted at the IFAC World Congress 2026, Busan, South Korea (preprint on arXiv), 2026
Recommended citation: Frank, D., Shakib, F., & Staab, S. (2026). "Learning the dynamics of nonlinear systems with regional stability guarantees through linear matrix inequality constraints." arXiv:2605.18292. Accepted at the IFAC World Congress 2026. https://arxiv.org/abs/2605.18292
This paper derives linear matrix inequality (LMI) constraints on the learnable parameters of recurrent neural networks that certify regional stability guarantees for the learned nonlinear system dynamics.