3 citations · 3 across the 2 of their papers we have counts for
3 papers
Consensus Driven by the Geometric Mean
Herbert Mangesius, Dong Xue, Sandra Hirche
Consensus networks are usually understood as arithmetic mean driven dynamical averaging systems. In applications, however, network dynamics often describe inherently non-arithmetic…
Gradient and Passive Circuit Structure in a Class of Non-linear Dynamics on a Graph
Herbert Mangesius, Jean-Charles Delvenne, Sanjoy K. Mitter
We consider a class of non-linear dynamics on a graph that contains and generalizes various models from network systems and control and study convergence to uniform agreement state…
On Lyapunov functions and gradient flow structures in linear consensus systems
Herbert Mangesius, Jean-Charles Delvenne
Quadratic Lyapunov functions are prevalent in stability analysis of linear consensus systems. In this paper we show that weighted sums of convex functions of the different coordina…