Bernstein Bezout矩阵与可控制型/可观测型矩阵之间的联系
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Connections between Bernstein Bezout Matrix and Generalized Controllability/Observabilitytype Matrices
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    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.

    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.

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郑婷婷,吴化璋. Bernstein Bezout矩阵与可控制型/可观测型矩阵之间的联系[J].重庆工商大学学报(自然科学版),2017,34(2):12-15
ZHENG Tingting, WU Huazhang. Connections between Bernstein Bezout Matrix and Generalized Controllability/Observabilitytype Matrices[J]. Journal of Chongqing Technology and Business University(Natural Science Edition),2017,34(2):12-15

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  • 在线发布日期: 2017-03-21
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