课程题目：Motion planning for kinematic systems
The talk will present a general theory of motion planning of kinematic objects (cars, rolling objects, cars or balls with trailers), in the context of subriemannian geometry, which is a natural context for this kind of problems. the concepts of metric complexity and entropy for those systems, and a methodology of non admissible paths approimation is discussed with practical applications.
Dr.Jean-Paul Gauthier is an emeritus professor at the University of Toulon, France, and a honorary member of the InstitutUniversitaire de France. He was granted thePh.Ddegree in 1982 from the National Polytechnic Institute of Grenoble, France. From 1982 to 1987 he has been a charg´e de recherche at CNRS (research officer at the French national scientific research center) in the field of Information Sciences and Technologies. Since 1991, Dr. Gauthier has been a professor both in mathematics and in automatic control engineering. He has taught control theory, image processing and computer sciences in several French universities (University Claude Bernard Lyon 1, INSA of Rouen, University of Bourgogne Dijon etc) and other foreign universities in the world. Professor Gauthier has written two books (cf. Deterministic observation theory and applications with Ivan Kupka published by Cambridge University Press), and has been the author and co-author of 130 scientific journal (or collective book) papers. He has developed close collaborations with Russian and Italian mathematicians and co-organized numerous international conferences, and in particular the regular international symposium Mathematical control theory and mechanics since 2011.