NDSU Applied Mathematics Seminar - Spring 2010
Loyola University Chicago
Department of Mathematics and Statistics


Time: 4:00PM-4:50PM  
BVM Hall - Room 1102 (6349 N. Kenmore Avenue, Chicago, IL 60626) [map]

Organizers: Marian Bocea and Rafal Goebel

Fall 2014 Analysis Seminar
Fall 2013 Analysis Seminar
Spring 2013 Analysis Seminar
Fall 2012 Analysis Seminar
Spring 2012 Analysis Seminar
Fall 2011 Analysis Seminar


MARCH 2015
Tuesday, March 10 - RAFAL GOEBEL (Loyola University Chicago) - Brockett's necessary condition for asymptotic stability and controllability
Abstract: If the origin is an asymptotically stable equilibrium for a differential equation dx/dt=f(x) with smooth enough right-hand side, then the image of any neighborhood of the origin under f contains a neighborhood of the origin. In particular, the vector field given by f takes on all directions on any neighborhood of the origin. Proofs of this result involve fixed point arguments, degree theory, converse Lyapunov results, etc. The talk will outline the proofs and include some motivation and examples.

Tuesday, March 17 - TBA

Tuesday, March 24 - TBA

Tuesday, March 31 - TBA

APRIL 2015