Nondegenerate abnormal trajectories in sub-Riemannian (2,3,5,8) problem

In the talk will consider abnormal trajectories in the sub-Riemannian problem with grouth vector (2,3,5,8) in nondegenerate case. We study abnormal trajectories which are not one-parametric subgroups of the state space tangent to the distribution Δ. We obtain parametric equations of abnormal controls, describe the structure of the cooresponding abnormal trajectories which lie in annihilator of square of Δ. We characterize strictly and nonstrictly abnormal trajectories. The main method of solving this problem is the Pontryagin maximum principle.

举办单位：数学与统计学院

发 布 人：吴双 发布时间： 2019-05-30

发 布 人：吴双 发布时间： 2019-05-30

Elena Sachkova is Ph D in control theory. She is senior researcher in Control Processes Research Center of Program Systems Institute, Russian Academy of Sciences. She was associate professor of Department of mathematics of University of Pereslavl, where she delivered courses of Calculus, Linear Algebra and Analytic Geometry, Scientific Computations. Her research interests include Geometric Control Theory, Sub-Riemannian Geometry, Invariant Optimal Control Theory on Lie Groups.