期刊
INTERNATIONAL JOURNAL OF CONTROL
卷 84, 期 8, 页码 1430-1441出版社
TAYLOR & FRANCIS LTD
DOI: 10.1080/00207179.2011.604794
关键词
matrix bound; discrete algebraic Riccati equation; eigenvalue
资金
- National Natural Science Foundation of China [10971176]
- Hunan Provincial Natural Science Foundation of China [10JJ2002]
- Hunan Provincial Innovation Foundation for Postgraduate
In this article, applying the properties of M-matrix and non-negative matrix, utilising eigenvalue inequalities of matrix's sum and product, we firstly develop new upper and lower matrix bounds of the solution for discrete coupled algebraic Riccati equation (DCARE). Secondly, we discuss the solution existence uniqueness condition of the DCARE using the developed upper and lower matrix bounds and a fixed point theorem. Thirdly, a new fixed iterative algorithm of the solution for the DCARE is shown. Finally, the corresponding numerical examples are given to illustrate the effectiveness of the developed results.
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