Some Notes on the Grassmann Manifolds and Nonlinear System
Chunna Zeng, Peng Tao · Applied Mechanics and Materials · 2013
The differential geometry as a new tool has been introduced to research the control system, especially the nonlinear system. In this paper, by considering how to construct a manifold from a quotient space, we investigate the structure of Grassmann manifold concretely. This is beneficial to study the problem of finding periodic solutions of the matrix Riccati equations of control theory and the two point boundary problem.