math.AP · 2026-09-17 · No. 116

Analysis of PDEs, 2026-09-17.

1 new papers in math.AP. Titles, authors, abstracts. Links to arXiv. Want this in your inbox every morning? Subscribe →

01 — The papers

1 entries
  1. 01

    Learning Lyapunov Operators for Nonlinear Systems

    Amartya Mukherjee, Maxwell Fitzsimmons, David C. Del Rey Fernández, Jun Liu

    math.AP · cs.LG · math.OC

    Constructing Lyapunov functions for nonlinear dynamical systems is a central problem in stability analysis, yet remains challenging. Lyapunov functions are commonly characterized as solutions to first-order partial differential equations (PDEs), but these solutions are typically obtained for single systems, limiting their reuse across systems. In this paper, we study the Lyapunov solution operator that maps a vector field to the corresponding...

    arxiv.org/abs/2609.18894 · PDF

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