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On the classic solution of fuzzy linear matrix equations

  • Fuzzy systems and their mathematics
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Abstract

Fuzzy linear matrix equations are generally applicable in signal processing, control, and system theory since most time-dependent models can be represented as linear or nonlinear dynamical systems. This paper presents a uniform method to find the classical solution of fuzzy linear matrix equations developed from He et al. (Soft Comput 22:6515–6523, 2018), Mikaeilvand et al. (Mathematics 8(5):850, 2020). As an applications of the method, numerical methods to solve fuzzy generalized Lyapunov matrix equation are presented. As suggested by large scale numerical tests, the method proposed here perform much faster than other methods and can solve large scale examples that other methods fail to do.

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Funding

This study was funded by National Natural Science Foundation of China under Grant NSF12071088.

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Authors and Affiliations

  1. School of Mathematics, Shanghai University of Finance and Economics, Shanghai, 200433, People’s Republic of China

    Jinming Li & Qixiang He

  2. School of Information and Management, Shanghai University of Finance and Economics, Shanghai, 200433, People’s Republic of China

    Zhijie Jin

  3. Mathematics School, Shanghai Key Laboratory of Financial Information Technology, Shanghai University of Finance and Economics, Shanghai, China

    Jieyong Zhou

  4. Shanghai University of Finance and Economics Zhejiang College, Zhejiang, 321013, People’s Republic of China

    Qixiang He

Authors
  1. Jinming Li
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  2. Zhijie Jin
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  3. Jieyong Zhou
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  4. Qixiang He
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Contributions

The idea of this paper comes from our seminar. The methodology of this paper is done by the third author and the fourth author. The numerical experiment is done by the first author and second author. The writing of this paper is done by the third author.

Corresponding author

Correspondence to Jieyong Zhou.

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Li, J., Jin, Z., Zhou, J. et al. On the classic solution of fuzzy linear matrix equations. Soft Comput 28, 9295–9305 (2024). https://doi.org/10.1007/s00500-024-09851-4

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  • DOI: https://doi.org/10.1007/s00500-024-09851-4

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