Open Access
2014 A Class of Transformation Matrices and Its Applications
Wenhui Liu, Feiqi Deng, Jiarong Liang, Haijun Liu
Abstr. Appl. Anal. 2014: 1-11 (2014). DOI: 10.1155/2014/742098


This paper studies a class of transformation matrices and its applications. Firstly, we introduce a class of transformation matrices between two different vector operators and give some important properties of it. Secondly, we consider its two applications. The first one is to improve Qian Jiling's formula. And the second one is to deal with the observability of discrete-time stochastic linear systems with Markovian jump and multiplicative noises. A new necessary and sufficient condition for the weak observability will be given in the second application.


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Wenhui Liu. Feiqi Deng. Jiarong Liang. Haijun Liu. "A Class of Transformation Matrices and Its Applications." Abstr. Appl. Anal. 2014 1 - 11, 2014.


Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 07022993
MathSciNet: MR3193542
Digital Object Identifier: 10.1155/2014/742098

Rights: Copyright © 2014 Hindawi

Vol.2014 • 2014
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