GAUSS Seminar

Speaker:

Fatou Kineh Ndow

Topic:

One-Sided Lipschitzness and Contractive Dynamical Systems

$Contraction theory is a powerful tool used to study conditions that foster synchronization in networks of dynamical systems. However, classical approaches primarily study contraction with respect to the l_{2} norms for continuously differentiable vector fields. We are going to apply a weaker property of a Lipschitz continuous map called one-sided Lipschitzness to study necessary and sufficient conditions for the contraction and stability of dynamical systems. We will introduce weak pairings as a framework to study contractivity with respect to arbitrary norms.$

Event Date:

September 21, 2022 - 4:30pm to 5:20pm

Location:

MLH 218 or Online (see URL)

URL:

https://uiowa.zoom.us/j/96851047768?pwd=SkFEY0c4a1IvNWZWS2laWGs1aUcydz09

Host:

Garrett Mason & Manuel Albrizzio

Calendar Category:

Seminar

Seminar Category:

GAUSS