报告人：Yuri Sachkov
报告地点：数学与统计学院104室
报告时间：2017年12月22日星期五16:30-17:30
邀请人：
报告摘要：
A sub-Riemannian problem is an optimal control problem with a quadratic cost functional,for a linear in control system. Geometric control theory provides efficient techniques for detailed study of such problems.
The talk will be devoted to the following questions:
- sub-Riemannian structures,
- rank controllability condition,
- Filippov's theorem,
- Pontryagin maximum principle,
- sub-Riemannian geodesics, local and global optimality,
- conjugate points and cut points,
- symmetries and Maxwell points,
- examples of solved problems (Heisenberg group, SO(3), SL(2), SE(2), Engel group),
- applications (cars with trailers, rolling bodies, image inpainting).
主讲人简介：
Yuri Sachkov is a full Professor at Department of Mathematics, University of Pereslavl. Chief of Control processes research center, Program Systems Institute (PSI), Russian Academy of Sciences.Member of the Editorial Board of Journal of Mathematical Sciences, Springer, since 2012.Member of the Editorial Board of Journal Program Systems: Theory and Practice, since 2010.Member of the American Mathematical Society.Expert of the Russian Foundation for Basic research.Expert of the Russian Science Foundation.
Research Interests: Sub-Riemannian Geometry, Right-Invariant Control Systems on Lie Gro-ups, Optimal Control, Bilinear Systems, Nonlinear Geometric Control Theory, Motion Planning, Applications to Robotics, Mechanics, and Reconstruction of Images, Integrability and Non-Integrability of Hamiltonian Systems, Numerical Methods for Optimal Control and ODEs, Parallel Computations.
学校主页