通过矩阵的STP求超矩阵的缩积

IF 1.7 4区计算机科学 Q3 AUTOMATION & CONTROL SYSTEMS Control Theory and Technology Pub Date : 2023-08-01 DOI:10.1007/s11768-023-00155-w

Daizhan Cheng, Min Meng, Xiao Zhang, Zhengping Ji

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引用次数: 1

摘要

给出了超矩阵的等价定义。提出了超矩阵的矩阵表达式。利用置换矩阵，揭示了不同矩阵表达式之间的转换。通过超矩阵的矩阵表达式，利用矩阵的半张量积(STP)来实现超矩阵的各种收缩积。

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Contracted product of hypermatrices via STP of matrices

An equivalent definition of hypermatrices is introduced. The matrix expression of hypermatrices is proposed. Using permutation matrices, the conversion between different matrix expressions is revealed. The various kinds of contracted products of hypermatrices are realized by semi-tensor products (STP) of matrices via matrix expressions of hypermatrices.

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来源期刊

Control Theory and Technology Engineering-Aerospace Engineering

CiteScore

2.70

自引率

7.10%

发文量

1138

期刊介绍： The Control Theory and Technology publishes high-quality papers on original, theoretical and experimental research and development in the area of systems and control, including all aspects of control theory and its applications. Its function is to provide a forum for domestic, as well as international, scientists and engineers in this field to exchange their knowledge and experiences. Articles for submission may be survey papers, or reviews on well established or newly emerging research topics, techniques, etc.; or regular papers which describe new well developed theoretical results or applications; or brief papers which present new techniques, concepts, perspectives, etc.Among the topics of interests areNonlinear systems and controlCyber-physical systemsIdentification and estimationOptimal control and optimizationRobust and H-infinity controlAdaptive and learning controlCooperative systemsStability and stabilizationDistributed parameter systemsHybrid systems and DEDSLarge scale systemsNetworked control systemsAutonomous systemsFault diagnosisCIMS and manufacturing systemsInformation processing systemsSystems biologyMulti-agent systemsMotion controlIntelligent controlPower systemsEnvironmental and bio-engineering systemsHuman-machine systemsIntelligent transportation systemsSocial networksEconomic systemsApplications in various fields