Sliding Modes and Fundamental Matrix Solutions of Piecewise Smooth Differential Systems

Applied and Computational Mathematics Seminar
Monday, April 26, 2010 - 13:00
1 hour (actually 50 minutes)
Skiles 255
School of Mathematics, Georgia Tech
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]