报告人：Yuri Sachkov
报告地点：数学与统计学院501室
报告时间：2017年12月19日星期二16:30-17:30
邀请人：
报告摘要：
Various important applied and theoretical problems lead naturally to right-invariant control problems on Lie groups and their homogeneous spaces. In the right-invariant case, unlike the general one, the global controllability problem can be studied in much detail.
The talk will focus on the following issues:
- Lie groups and homogeneous spaces,
- general properties of right-invariant control systems,
- rank condition, Lie saturation techniques,
- global controllability conditions for right-invariant systems for special classes of Lie groups:
- compact Lie groups, - semidirect products,
- semisimple Lie groups, - nilpotent Lie groups,
- solvable Lie groups.
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.
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