Some Notes on the Grassmann Manifolds and Nonlinear System

Chun Na Zeng; Peng Tao

doi:10.4028/www.scientific.net/AMM.419.611

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 419Some Notes on the Grassmann Manifolds and...

Some Notes on the Grassmann Manifolds and Nonlinear System

Abstract:

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.

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Periodical:

Applied Mechanics and Materials (Volume 419)

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611-615

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.419.611

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Online since:

October 2013

Authors:

Chun Na Zeng, Peng Tao

Keywords:

Geometrical Method, Grassmann Manifold, Manifold, Nonlinear System

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