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New unified matrix upper bound on the solution of the continuous coupled algebraic Riccati equation.

Authors :
Xu, Jianhong
Rajasingam, Prasanthan
Source :
Journal of the Franklin Institute. Mar2016, Vol. 353 Issue 5, p1233-1247. 15p.
Publication Year :
2016

Abstract

In this paper, a unified matrix upper solution bound is established for the continuous coupled algebraic Riccati equation arising from the optimal control of a Markovian jump linear system. In particular, the issue of rank deficiency with the control matrices is addressed because it may cause problems to some existing matrix upper solution bounds. The results of this paper not only apply to this rank deficient case but also contain those existing results as special cases. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00160032
Volume :
353
Issue :
5
Database :
Academic Search Index
Journal :
Journal of the Franklin Institute
Publication Type :
Periodical
Accession number :
113539939
Full Text :
https://doi.org/10.1016/j.jfranklin.2015.01.008