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Positive Observer Design for Positive Delayed Markovian Jump Systems (2016)

Guoliang Wang

Hindawi

In: Discrete Dynamics in Nature and Society

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Publication Date: 2016-08-01

Description: The positive observer design problem is considered for a class of positive delayed Markovian jump systems (PDMJSs). Firstly, a necessary and sufficient condition is established to check the positivity of delayed Markovian jump systems (DMJSs). Then, necessary and sufficient conditions for PDMJSs being asymptotically mean stable are established to be independent of time delay. Based on the proposed results, sufficient conditions for the existence of the desired positive observer gains including mode-independent case are provided. Additionally, more general cases that transition rate matrix (TRM) is partially unknown or uncertain are considered, respectively. Finally, a numerical example is used to demonstrate the effectiveness of the proposed methods.

Print ISSN: 1026-0226

Electronic ISSN: 1607-887X

Topics: Mathematics

Published by Hindawi

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