| 摘要: |
| 通过多项式标准幂基与Bernstein基之间的转换关系给出了经典Bezout矩阵与Bernstein Bezout矩阵之间的相互联系；同时,由标准线性控制系统中的可控制型/可观测型矩阵构造出Bernstein基下的线性控制系统理论中的(广义)可控制型/可观测型矩阵,并建立Bernstein Bezout矩阵与对应的(广义)可控制型/可观测型矩阵之间的联系，所得结果和标准幂基下的有关结果是平行的. |
| 关键词: 标准幂基 Bernstein基 Bezout矩阵 Bernstein Bezout矩阵 可控制型/可观测型矩阵 |
| DOI： |
| 分类号: |
| 基金项目: |
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| Connections between Bernstein Bezout Matrix and Generalized Controllability/Observability type Matrices |
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ZHENG Ting ting, WU Hua zhang
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| Abstract: |
| The relationships between the classical Bezout matrix and Bernstein Bezout matrix are given by the transformation matrix of the standard power basis and Bernstein polynomial basis. Meanwhile, a generalized linear control system for the Bernstein polynomial basis is established from the classical one, and a kind of generalized controllability/observability type matrices is constructed correspondingly. Finally, connections between Bernstein Bezout matrix and generalized controllability/observability type matrices are discussed. The results obtained are parallel to the previous ones for the standard power basis. |
| Key words: standard power basis Bernstein basis Bezout matrix Bernstein Bezout matrix controllability/observability type matrix |
