Stochastic stability for discrete-time antilinear systems with Markovian jumping parameters
In this study, the discrete-time antilinear systems with Markovian jumping parameters are investigated. The concept of stochastic stability is extended to the context of discrete-time Markovian jump (DTMJ) antilinear systems. By using stochastic Lyapunov approach, the authors derive some necessary a...
| Main Authors: | , , |
|---|---|
| Format: | Journal Article |
| Published: |
Institution of Engineering and Technology
2015
|
| Online Access: | http://hdl.handle.net/20.500.11937/2770 |
| _version_ | 1848744043600674816 |
|---|---|
| author | Wu, A. Qian, Y. Liu, Wan-Quan |
| author_facet | Wu, A. Qian, Y. Liu, Wan-Quan |
| author_sort | Wu, A. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this study, the discrete-time antilinear systems with Markovian jumping parameters are investigated. The concept of stochastic stability is extended to the context of discrete-time Markovian jump (DTMJ) antilinear systems. By using stochastic Lyapunov approach, the authors derive some necessary and sufficient conditions for a DTMJ antilinear system to be stochastically stable in terms of coupled anti-Lyapunov matrix equations. In addition, two types of iterative algorithms are proposed to solve these coupled anti-Lyapunov matrix equations. Finally, some numerical examples are given to show the efficiency of the proposed algorithms and potential applications of the obtained results on antilinear systems. |
| first_indexed | 2025-11-14T05:55:11Z |
| format | Journal Article |
| id | curtin-20.500.11937-2770 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T05:55:11Z |
| publishDate | 2015 |
| publisher | Institution of Engineering and Technology |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-27702017-09-13T14:45:10Z Stochastic stability for discrete-time antilinear systems with Markovian jumping parameters Wu, A. Qian, Y. Liu, Wan-Quan In this study, the discrete-time antilinear systems with Markovian jumping parameters are investigated. The concept of stochastic stability is extended to the context of discrete-time Markovian jump (DTMJ) antilinear systems. By using stochastic Lyapunov approach, the authors derive some necessary and sufficient conditions for a DTMJ antilinear system to be stochastically stable in terms of coupled anti-Lyapunov matrix equations. In addition, two types of iterative algorithms are proposed to solve these coupled anti-Lyapunov matrix equations. Finally, some numerical examples are given to show the efficiency of the proposed algorithms and potential applications of the obtained results on antilinear systems. 2015 Journal Article http://hdl.handle.net/20.500.11937/2770 10.1049/iet-cta.2014.1107 Institution of Engineering and Technology restricted |
| spellingShingle | Wu, A. Qian, Y. Liu, Wan-Quan Stochastic stability for discrete-time antilinear systems with Markovian jumping parameters |
| title | Stochastic stability for discrete-time antilinear systems with Markovian jumping parameters |
| title_full | Stochastic stability for discrete-time antilinear systems with Markovian jumping parameters |
| title_fullStr | Stochastic stability for discrete-time antilinear systems with Markovian jumping parameters |
| title_full_unstemmed | Stochastic stability for discrete-time antilinear systems with Markovian jumping parameters |
| title_short | Stochastic stability for discrete-time antilinear systems with Markovian jumping parameters |
| title_sort | stochastic stability for discrete-time antilinear systems with markovian jumping parameters |
| url | http://hdl.handle.net/20.500.11937/2770 |