Here I’ll explain what these two invariants are, I’ll give you some examples, and I’ll ask for your help in understanding what the magnitude function tells us. The Tutte polynomial of a graph is old ...

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 relaxed ...

Abstract: This paper investigates the consensus problem of multi-agent systems under the proportional-derivative (PD) control protocol. It devises an automatic search algorithm for the polynomial ...