Geometric Structures of Stable Time-Variant State Feedback Systems |
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Authors: | ZHONG Feng-wei SUN Hua-fei and ZHANG Zhen-ning |
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Affiliation: | School of Science, Beijing Institute of Technology, Beijing 100081, China;School of Science, Beijing Institute of Technology, Beijing 100081, China;School of Science, Beijing Institute of Technology, Beijing 100081, China |
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Abstract: | A new technique for considering the stabilizing time-variant state feedback gains is proposed from the viewpoint of information geometry. First, parametrization of the set of all stabilizing time-variant state feedback gains is given. Moreover, a diffeomorphic structure between the set of stabilizing time-variant state feedback gains and the Cartesian product of positive definite matrix and skew symmetric matrix satisfying certain algebraic conditions is constructed. Furth ermore, an immersion and some results about the eigenvalue locations of stable state feedback systems are derived. |
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Keywords: | geometric structure state feedback immersion diffeomorphism |
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