New upper matrix bounds of the solution for perturbed continuous coupled algebraic Riccati matrix equation

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• 作者：Jianzhou Liu (1) (2)
  Juan Zhang (2)
  
• 关键词：Continuous coupled algebraic Riccati equation ; eigenvalue ; eigenvalue inequality ; matrix bound ; perturbed continuous coupled algebraic Riccati equation
• 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：1254-1259
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• 作者单位：Jianzhou Liu (1) (2)
  Juan Zhang (2)
  
  1. Department of Mathematical Science and Information Technology, Hanshan Normal University, Chaozhou, Guangdong, 521041, P. R. China
  2. Department of Mathematics and Computational Science, Xiangtan University, Xiangtan, Hunan, 411105, P. R. China
  
• ISSN：2005-4092

文摘

In this paper, if the coefficient matrices in the continuous coupled algebraic Riccati equation (CCARE) undergo perturbations, with the aid of the equivalent form for the perturbation of the CCARE and the classical eigenvalue inequalities, we observe new upper matrix bounds for the perturbation of the CCARE through solving the linear inequalities. Finally, we present corresponding numerical examples to show the effectiveness of the derived results.