Applications of Non-smooth Differential Inclusions to Real Life Problems


In this talk, I will present some of my recent results on the use of nonsmooth analysis and nonconvex differential inclusions in two different real life problems. First, I will present the application to real-time avoidance of a swarm of mobile robots. The second application is the simulation of the motion of nanoparticles in straight microtubes.

Brief Biography

MESSAOUD BOUNKHEL received the B.S. degree in Mathematics from University of Batna, Algeria, in 1994 and the M.S. degree in Mathematics from University of Montpellier 2, France in 1995. He received the Ph.D in Mathematics (Nonsmooth Analysis) from University of Montpellier 2, France in 1999.

From 1999 to 2001, he was a Researcher-Teacher in CMM (Centro de Modelamiento Matematico), Santiago, Chile.  He joined the department of Mathematics in KSU, Saudi Arabia in 2001 as assistant professor. He promoted to Full Professor at KSU in 2008. His research interest includes  Nonsmooth Analysis, Mathematical Modeling, Optimization, Differential inclusions, Variational Inequalities, Optimal control theory and applications.