Lower solution bounds of the continuous coupled algebraic Riccati matrix equation

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• 作者：Juan Zhang (1) (2)
  Jianzhou Liu (1) (2)
  
• 关键词：Continuous coupled algebraic Riccati equation ; eigenvalue ; matrix bound
• 刊名：International Journal of Control, Automation and Systems
• 出版年：2012
• 出版时间：December 2012
• 年：2012
• 卷：10
• 期：6
• 页码：1273-1278
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• 作者单位：Juan Zhang (1) (2)
  Jianzhou Liu (1) (2)
  
  1. Department of mathematics and computational science, Xiangtan University, Xiangtan, Hunan, 411105, P. R. China
  2. Key Laboratory of Intelligent Computing & Information Processing of Ministry of Education, Xiangtan University, Hunan, 411105, China
  
• ISSN：2005-4092

文摘

In this paper, applying eigenvalue sum inequality of symmetric matrix and the properties of M-matrix and its inverse matrix, we introduce new lower matrix bounds for the solution of the continuous coupled algebraic Riccati equation. Finally, we give corresponding numerical examples to demonstrate the effectiveness of the derived results.