Stabilization of Discrete-Time Planar Switched Linear Systems with Impulse
We study the stabilization problem of discrete-time planar switched linear systems with impulse. When all subsystems are controllable, based on an explicit estimation on the state transition matrix, we establish a sufficient condition such that the switched impulsive system is stabilizable under arb...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2013/134296 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832560005286461440 |
|---|---|
| author | Yanli Zhu Yuangong Sun |
| author_facet | Yanli Zhu Yuangong Sun |
| author_sort | Yanli Zhu |
| collection | DOAJ |
| description | We study the stabilization problem of discrete-time planar switched linear systems with impulse. When all subsystems are controllable, based on an explicit estimation on the state transition matrix, we establish a sufficient condition such that the switched impulsive system is stabilizable under arbitrary switching signal with given switching frequency. When there exists at least one uncontrollable
subsystem, a sufficient condition is also given to guarantee the stabilization of the switched impulsive system under appropriate switching signal. |
| format | Article |
| id | doaj-art-e284e60b244d4e08bfb22e28e6420d91 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-e284e60b244d4e08bfb22e28e6420d912025-02-03T01:28:39ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2013-01-01201310.1155/2013/134296134296Stabilization of Discrete-Time Planar Switched Linear Systems with ImpulseYanli Zhu0Yuangong Sun1School of Mathematical Sciences, University of Jinan, Jinan, Shandong 250022, ChinaSchool of Mathematical Sciences, University of Jinan, Jinan, Shandong 250022, ChinaWe study the stabilization problem of discrete-time planar switched linear systems with impulse. When all subsystems are controllable, based on an explicit estimation on the state transition matrix, we establish a sufficient condition such that the switched impulsive system is stabilizable under arbitrary switching signal with given switching frequency. When there exists at least one uncontrollable subsystem, a sufficient condition is also given to guarantee the stabilization of the switched impulsive system under appropriate switching signal.http://dx.doi.org/10.1155/2013/134296 |
| spellingShingle | Yanli Zhu Yuangong Sun Stabilization of Discrete-Time Planar Switched Linear Systems with Impulse Discrete Dynamics in Nature and Society |
| title | Stabilization of Discrete-Time Planar Switched Linear Systems with Impulse |
| title_full | Stabilization of Discrete-Time Planar Switched Linear Systems with Impulse |
| title_fullStr | Stabilization of Discrete-Time Planar Switched Linear Systems with Impulse |
| title_full_unstemmed | Stabilization of Discrete-Time Planar Switched Linear Systems with Impulse |
| title_short | Stabilization of Discrete-Time Planar Switched Linear Systems with Impulse |
| title_sort | stabilization of discrete time planar switched linear systems with impulse |
| url | http://dx.doi.org/10.1155/2013/134296 |
| work_keys_str_mv | AT yanlizhu stabilizationofdiscretetimeplanarswitchedlinearsystemswithimpulse AT yuangongsun stabilizationofdiscretetimeplanarswitchedlinearsystemswithimpulse |