H8 Filtering for Uncertain Periodic Markov Jump Systems with Periodic and Partly Unknown Information

© 2018, Springer Science+Business Media, LLC, part of Springer Nature. This paper studies the problem of H8 filtering for a class of uncertain discrete-time periodic Markov jump systems with partly unknown and periodic transition probabilities, which is described as a polytope. By using Lyapunov fun...

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Main Authors: Zhu, L., Yin, YanYan, Liu, F., Wang, Song
Format: Journal Article
Published: Birkhauser 2018
Online Access:http://hdl.handle.net/20.500.11937/71886
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author Zhu, L.
Yin, YanYan
Liu, F.
Wang, Song
author_facet Zhu, L.
Yin, YanYan
Liu, F.
Wang, Song
author_sort Zhu, L.
building Curtin Institutional Repository
collection Online Access
description © 2018, Springer Science+Business Media, LLC, part of Springer Nature. This paper studies the problem of H8 filtering for a class of uncertain discrete-time periodic Markov jump systems with partly unknown and periodic transition probabilities, which is described as a polytope. By using Lyapunov function, periodic H8 filter is designed, which ensures that the periodic dynamic system is stochastically stable and satisfies a prescribed H8 performance index. A numerical example is presented to illustrate the effectiveness of the proposed theoretical results.
first_indexed 2025-11-14T10:50:08Z
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institution Curtin University Malaysia
institution_category Local University
last_indexed 2025-11-14T10:50:08Z
publishDate 2018
publisher Birkhauser
recordtype eprints
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spelling curtin-20.500.11937-718862023-08-02T06:39:12Z H8 Filtering for Uncertain Periodic Markov Jump Systems with Periodic and Partly Unknown Information Zhu, L. Yin, YanYan Liu, F. Wang, Song © 2018, Springer Science+Business Media, LLC, part of Springer Nature. This paper studies the problem of H8 filtering for a class of uncertain discrete-time periodic Markov jump systems with partly unknown and periodic transition probabilities, which is described as a polytope. By using Lyapunov function, periodic H8 filter is designed, which ensures that the periodic dynamic system is stochastically stable and satisfies a prescribed H8 performance index. A numerical example is presented to illustrate the effectiveness of the proposed theoretical results. 2018 Journal Article http://hdl.handle.net/20.500.11937/71886 10.1007/s00034-018-0759-y Birkhauser restricted
spellingShingle Zhu, L.
Yin, YanYan
Liu, F.
Wang, Song
H8 Filtering for Uncertain Periodic Markov Jump Systems with Periodic and Partly Unknown Information
title H8 Filtering for Uncertain Periodic Markov Jump Systems with Periodic and Partly Unknown Information
title_full H8 Filtering for Uncertain Periodic Markov Jump Systems with Periodic and Partly Unknown Information
title_fullStr H8 Filtering for Uncertain Periodic Markov Jump Systems with Periodic and Partly Unknown Information
title_full_unstemmed H8 Filtering for Uncertain Periodic Markov Jump Systems with Periodic and Partly Unknown Information
title_short H8 Filtering for Uncertain Periodic Markov Jump Systems with Periodic and Partly Unknown Information
title_sort h8 filtering for uncertain periodic markov jump systems with periodic and partly unknown information
url http://hdl.handle.net/20.500.11937/71886