A class of transformation matrices and its applications (Q1724869)
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scientific article; zbMATH DE number 7022993
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A class of transformation matrices and its applications |
scientific article; zbMATH DE number 7022993 |
Statements
A class of transformation matrices and its applications (English)
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14 February 2019
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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.
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transformation matrices
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observability
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discrete-time stochastic linear systems
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Markovian jump
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