Stochastic stability of discrete-time Markovian jump antilinear systems

In this paper, we investigate the discrete-time antilinear systems with Markovian jumping parameters. The concept of stochastic stability is extended to the context of discrete-time Markovian jump (DTMJ) antilinear systems. By using stochastic Lyapunov approaches, necessary and sufficient conditions...

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Main Authors: Qian, Y., Wu, A., Liu, Wan-Quan
Format: Conference Paper
Published: IEEE Computer Society 2014
Online Access:http://hdl.handle.net/20.500.11937/44930
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author Qian, Y.
Wu, A.
Liu, Wan-Quan
author_facet Qian, Y.
Wu, A.
Liu, Wan-Quan
author_sort Qian, Y.
building Curtin Institutional Repository
collection Online Access
description In this paper, we investigate the discrete-time antilinear systems with Markovian jumping parameters. The concept of stochastic stability is extended to the context of discrete-time Markovian jump (DTMJ) antilinear systems. By using stochastic Lyapunov approaches, necessary and sufficient conditions are established for a DTMJ antilinear system to be stochastically stable in terms of coupled anti-Lyapunov matrix equations.
first_indexed 2025-11-14T09:23:23Z
format Conference Paper
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institution Curtin University Malaysia
institution_category Local University
last_indexed 2025-11-14T09:23:23Z
publishDate 2014
publisher IEEE Computer Society
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repository_type Digital Repository
spelling curtin-20.500.11937-449302017-09-13T14:19:01Z Stochastic stability of discrete-time Markovian jump antilinear systems Qian, Y. Wu, A. Liu, Wan-Quan In this paper, we investigate the discrete-time antilinear systems with Markovian jumping parameters. The concept of stochastic stability is extended to the context of discrete-time Markovian jump (DTMJ) antilinear systems. By using stochastic Lyapunov approaches, necessary and sufficient conditions are established for a DTMJ antilinear system to be stochastically stable in terms of coupled anti-Lyapunov matrix equations. 2014 Conference Paper http://hdl.handle.net/20.500.11937/44930 10.1109/CCDC.2014.6852951 IEEE Computer Society restricted
spellingShingle Qian, Y.
Wu, A.
Liu, Wan-Quan
Stochastic stability of discrete-time Markovian jump antilinear systems
title Stochastic stability of discrete-time Markovian jump antilinear systems
title_full Stochastic stability of discrete-time Markovian jump antilinear systems
title_fullStr Stochastic stability of discrete-time Markovian jump antilinear systems
title_full_unstemmed Stochastic stability of discrete-time Markovian jump antilinear systems
title_short Stochastic stability of discrete-time Markovian jump antilinear systems
title_sort stochastic stability of discrete-time markovian jump antilinear systems
url http://hdl.handle.net/20.500.11937/44930