Developing CGNE algorithm for the periodic discrete-time generalized coupled Sylvester matrix equations

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• 作者：Masoud Hajarian
• 关键词：Iterative method ; Periodic discrete ; time generalized coupled Sylvester matrix equations ; CGNE algorithm ; 15A24 ; 93E24 ; 65F10
• 刊名：Computational and Applied Mathematics
• 出版年：2015
• 出版时间：July 2015
• 年：2015
• 卷：34
• 期：2
• 页码：755-771
• 全文大小：644 KB
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• 作者单位：Masoud Hajarian (1)
  
  1. Department of Mathematics, Faculty of Mathematical Sciences, Shahid Beheshti University, General Campus, Evin, Tehran聽, 19839, Iran
  
• 刊物主题：Applications of Mathematics; Computational Mathematics and Numerical Analysis; Mathematical Applications in the Physical Sciences; Mathematical Applications in Computer Science;
• 出版者：Springer Basel
• ISSN：1807-0302

文摘

The discrete-time periodic matrix equations often arise in analysis and design of linear periodic control systems. This paper studies the problem of finding the solutions of the periodic continuous-time generalized coupled Sylvester matrix equations $$\begin{aligned} \left\{ \begin{array}{ll} A_kX_kB_k+C_kY_kD_k=M_k,&{} \hbox {} \\ E_kX_{k+1}F_k+G_kY_kH_k=N_k,&{} \hbox {} \end{array} \right. \quad {\mathrm {for}} \quad k=1,2,\ldots ,\phi . \end{aligned}$$