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<p>The semi-tensor product (STP) of matrices is a powerful mathematical tool that has developed rapidly, owing to its successful applications not only in engineering but also in algebraic theory. This survey summarizes the engineering applications of STP, which mainly include those in logical systems, finite games, nonlinear feedback shift registers, compressed sensing, fuzzy systems, as well as practical implementations in combustion engines and hybrid electric vehicles. In this regard, several unsolved problems and research directions concerning the further applications of STP are proposed, which can help explore how engineering applications drive the development of STP.</p>

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Engineering-Application-Driven Developments in Semi-Tensor Product of Matrices: A Survey

  • 期刊论文

  • 发表日期：

    2026年4月28日

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  • Yiliang Li,
  • Hongsheng Qi,
  • Jun-e Feng

摘要

The semi-tensor product (STP) of matrices is a powerful mathematical tool that has developed rapidly, owing to its successful applications not only in engineering but also in algebraic theory. This survey summarizes the engineering applications of STP, which mainly include those in logical systems, finite games, nonlinear feedback shift registers, compressed sensing, fuzzy systems, as well as practical implementations in combustion engines and hybrid electric vehicles. In this regard, several unsolved problems and research directions concerning the further applications of STP are proposed, which can help explore how engineering applications drive the development of STP.