Abstract: In this article, we search for polynomial Lyapunov functions beyond the quadratic form to investigate the synchronization problems of nonlinearly coupled complex networks. First, with a ...

Microsoft is adding a new Copilot function to Excel that brings large language model (LLM) features right into spreadsheet cells. The goal is to speed up tasks like data analysis, text classification, ...

Abstract: Polynomial Lyapunov function $\mathcal{V}({\mathbf{x}})$ provides mathematically rigorous that converts stability analysis into efficiently solvable optimization problem. Traditional ...