A Class of Transformation Matrices and Its Applications

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�...

Full description

Saved in:
Bibliographic Details
Main Authors: Wenhui Liu, Feiqi Deng, Jiarong Liang, Haijun Liu
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/742098
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:1085-3375
1687-0409