Sliding Modes and Fundamental Matrix Solutions of Piecewise Smooth Differential Systems

Series
Applied and Computational Mathematics Seminar
Time
Monday, April 26, 2010 - 1:00pm for 1 hour (actually 50 minutes)
Location
Skiles 255
Speaker
Luca Dieci – School of Mathematics, Georgia Tech
Organizer
Maria Westdickenberg
In this seminar we consider piecewise smooth differential systems of Filippov type, in which the vector field varies discontinuously as solution trajectories reach one or more surfaces. Emphasis is on the fundamental matrix solution associated to these systems. We consider the cases of transversal intersection and of sliding motion on a co-dimension one surface and when sliding motion takes place on a co-dimension two surface (the intersection of two co-dimension one surfaces). [Joint work with L.Lopez, Univ. of Bari]