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| 1 | A survey on applications of semi-tensor product method in engineering显示文摘Semi-tensor product(STP) of matrices has attracted more and more attention from both control theory and engineering in the last two decades. This paper presents a comprehensive survey on the applications of STP method in engineering. Firstly, some preliminary results on STP method are recalled.Secondly, some applications of STP method in engineering, including gene regulation, power system, wireless communication, smart grid, information security, combustion engine and vehicle control, are reviewed.Finally, some potential applications of STP method are predicted. | Haitao LI Guodong ZHAO Min MENG June FENG | 2018 | Science China(Information Sciences)2018，61，1： | 12 |
| 2 | Solving type-2 fuzzy relation equations via semi-tensor product of matrices显示文摘The problem of solving type-2 fuzzy relation equations is investigated. In order to apply semi-tensor product of matrices,a new matrix analysis method and tool, to solve type-2 fuzzy relation equations, a type-2 fuzzy relation is decomposed into two parts as principal sub-matrices and secondary sub-matrices; an r-ary symmetrical-valued type-2 fuzzy relation model and its corresponding symmetrical-valued type-2 fuzzy relation equation model are established. Then, two algorithms are developed for solving type-2 fuzzy relation equations, one of which gives a theoretical description for general type-2 fuzzy relation equations;the other one can find all the solutions to the symmetrical-valued ones. The results can improve designing type-2 fuzzy controllers,because it provides knowledge to search the optimal solutions or to find the reason if there is no solution. Finally some numerical examples verify the correctness of the results/algorithms. | Yongyi YAN Zengqiang CHEN Zhongxin LIU | 2014 | Control Theory and Technology2014，12，2： | 10 |
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