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Abstract and Applied Analysis - Volume 2014 2014, Article ID 742098, 11 pages -

Research Article

College of Automation Science and Engineering, South China University of Technology, Guangzhou 510641, China

School of Computer, Electronics and Information, Guangxi University, Nanning 530004, China

School of Mathematics and Statistics, Zhengzhou University, Zhengzhou 450001, China

Received 8 November 2013; Revised 13 February 2014; Accepted 13 February 2014; Published 1 April 2014

Academic Editor: Turgut Öziş

Copyright © 2014 Wenhui Liu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

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.





Autor: Wenhui Liu, Feiqi Deng, Jiarong Liang, and Haijun Liu

Fuente: https://www.hindawi.com/



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