The Application of Linear Algebra Algorithm in the Production of Linear Matrix Inequalities

Abstract:

Discusses the theory and symbolic of the algorithm gives another potential application, but also in the system and control. For example, for the question, has made with special structure, but LMI problem data, may cause factorizations LMI more compact. One can even imagine using the algorithm around, looking for the opportunity to LMI automatic eliminate variables, so simplify problem solving, before they get a lot of influence and a potential solutions. We describe theory, the algorithm can be used to factor in the non commuting variable polynomial matrix and application system switches and control problem into a linear matrix inequality.

• Periodical: Applied Mechanics and Materials (Volume 192)
• Pages: 406-411
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.192.406
• Online since: July 2012
• Authors: Hui Zhang
• Keywords: Linear Algebra, Linear Matrix, System

References

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DOI: 10.1137/1.9781611970777

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