Positive \(l_1\) state-bounding observer design for positive interval Markovian jump systems
type: Item
instance of: scholarly article
title: Positive \(l_1\) state-bounding observer design for positive interval Markovian jump systems
zbMATH Open document ID: 1400.93307
DOI: 10.1155/2016/2134807
author: Borong Lyu
author: Di Zhang
author: Qingling Zhang
published in: Mathematical Problems in Engineering
publication date: 2018-10-12T00:00:00Z
review text: Summary: This paper studies the problem of positive \(l_1\) state-bounding observer design for a class of positive Markovian jump systems with interval parameter uncertainties by a linear programming approach. For the first, necessary and sufficient conditions are obtained for stochastic stability and \(l_1\) performance of positive Markovian jump systems by an ``equivalent'' deterministic positive linear system. Furthermore, based on the results obtained in this paper, sufficient conditions for the existence of the positive \(l_1\) state-bounding observer are derived. The conditions can be solved in terms of linear programming. Finally, a numerical example is used to illustrate the effectiveness of the results obtained.
Mathematics Subject Classification ID: 93E11
Mathematics Subject Classification ID: 93E15
Mathematics Subject Classification ID: 60J75
zbMATH DE Number: 6952888
Wikidata QID: Q59131099
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/2134807
OpenAlex ID: W2550049033
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description: scientific article; zbMATH DE number 6952888