Finite-Time Passivity and Passification Design for Markovian Jumping Systems with Mode-Dependent Time-Varying Delays
This paper investigates the finite-time passivity and passification design problem for a class of Markovian jumping systems with mode-dependent time-varying delays. By employing the Lyapunov-Krasovskii functional method, delay-dependent sufficient criteria are derived to ensure the mean-square stoch...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2017-01-01
|
| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2017/3256871 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832559475320422400 |
|---|---|
| author | Chao Ma |
| author_facet | Chao Ma |
| author_sort | Chao Ma |
| collection | DOAJ |
| description | This paper investigates the finite-time passivity and passification design problem for a class of Markovian jumping systems with mode-dependent time-varying delays. By employing the Lyapunov-Krasovskii functional method, delay-dependent sufficient criteria are derived to ensure the mean-square stochastically finite-time passivity. Based on the established results, mode-dependent passification controller is further designed in terms of linear matrix inequalities, such that the prescribed passive performance index of the resulting closed-loop system can be satisfied. Finally, two illustrative examples are given to show the effectiveness of the obtained theoretical results. |
| format | Article |
| id | doaj-art-2a690ad402ad41138691a9a92dbaef59 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-2a690ad402ad41138691a9a92dbaef592025-02-03T01:29:56ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2017-01-01201710.1155/2017/32568713256871Finite-Time Passivity and Passification Design for Markovian Jumping Systems with Mode-Dependent Time-Varying DelaysChao Ma0School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing 100083, ChinaThis paper investigates the finite-time passivity and passification design problem for a class of Markovian jumping systems with mode-dependent time-varying delays. By employing the Lyapunov-Krasovskii functional method, delay-dependent sufficient criteria are derived to ensure the mean-square stochastically finite-time passivity. Based on the established results, mode-dependent passification controller is further designed in terms of linear matrix inequalities, such that the prescribed passive performance index of the resulting closed-loop system can be satisfied. Finally, two illustrative examples are given to show the effectiveness of the obtained theoretical results.http://dx.doi.org/10.1155/2017/3256871 |
| spellingShingle | Chao Ma Finite-Time Passivity and Passification Design for Markovian Jumping Systems with Mode-Dependent Time-Varying Delays Discrete Dynamics in Nature and Society |
| title | Finite-Time Passivity and Passification Design for Markovian Jumping Systems with Mode-Dependent Time-Varying Delays |
| title_full | Finite-Time Passivity and Passification Design for Markovian Jumping Systems with Mode-Dependent Time-Varying Delays |
| title_fullStr | Finite-Time Passivity and Passification Design for Markovian Jumping Systems with Mode-Dependent Time-Varying Delays |
| title_full_unstemmed | Finite-Time Passivity and Passification Design for Markovian Jumping Systems with Mode-Dependent Time-Varying Delays |
| title_short | Finite-Time Passivity and Passification Design for Markovian Jumping Systems with Mode-Dependent Time-Varying Delays |
| title_sort | finite time passivity and passification design for markovian jumping systems with mode dependent time varying delays |
| url | http://dx.doi.org/10.1155/2017/3256871 |
| work_keys_str_mv | AT chaoma finitetimepassivityandpassificationdesignformarkovianjumpingsystemswithmodedependenttimevaryingdelays |