Filippov Theory, Richards’ Equation and AGV
We will go through Filippov theory for piecewise smooth dynamical systems with co-dimension 2 discontinuity manifolds, analyzing sliding motion on it, loss of attractivity and exit conditions. We will also talk about unified frame to study this problem and general extension to higher co-dimension. Then, we will apply such a machinery to the, numerical solution of Richards’ Equation, when infiltration occurs through layered soils, and will present a TMoL scheme for tackling this problem. Finally, a short lookup to automation world, showing ongoing work on AGVs in hybrid industrial environments, a project carried out in Code Architects Automation.
March 4, 2019 (Monday)
Room 205, Building E, Karlovo nám. 13
Lecturer: FABIO VITO DIFONZO
Dr. Fabio V. Difonzo is currently working for Code Architects Automation, a Microsoft Partner company from Santeramo in Colle, Bari, Italy, active in the field of software development and automation technology. His work is about optimization problems and modeling for industrial applications, developing in C# and Typescript; and Automated Guided Vehicles (AGVs) for hybrid industrial environments. In particular, he is developing algorithms for obstacle detection and avoidance, path and trajectory generation developing in Matlab, Simulink and C++.
During the period 2011-2015, he received a PhD in Mathematics, working with Prof. Luca Dieci, and a MSc in Aerospace Engineering, under the supervision of Prof. Wassim M. Haddad, from Georgia Institute of Technology, Atlanta GA (USA). He worked on numerical analysis, Filippov theory and control theory.
His research interests focus on Filippov theory for piecewise smooth dynamical systems, particularly in high co-dimension, with special attention to sliding motion, attractivity, regularization and periodic solutions of discontinuous ODEs (in collaboration with GeorgiaTech); numerical solution to Richards’ Equation (in collaboration with Univ. of Bari and CNR-IRSA).