Conference Paper: Stabilization to ISS for discrete-time impulsive hybrid systems with mixed K -dissipativity
| Title | Stabilization to ISS for discrete-time impulsive hybrid systems with mixed K -dissipativity |
|---|---|
| Authors | Liu, B2 Liu, T2 Hill, DJ1 |
| Keywords | Dihs Dissipativity Iss Mixed K -Dissipativity Network Via Impulsive Interconnections Stabilization |
| Issue Date | 2011 |
| Citation | Proceedings Of The 30Th Chinese Control Conference, Ccc 2011, 2011, p. 1753-1758 [How to Cite?] |
| Abstract | This paper studies the stabilization to ISS (input-to-state stability) issue for discrete-time impulsive hybrid systems (DIHS) with mixed K -dissipativity property. Firstly, the new concept of mixed K -dissipativity is proposed for DIHS. Then, the criteria of stabilization in the sense of ISS are derived for mixed K -dissipative DIHS. It shows that for a mixed K -dissipative DIHS, under the same state feedback control, even if all subsystems have no ISS, the whole DIHS may still has ISS property. The results are then used to study the case of network via impulsive interconnections. The linear matrix inequality (LMI) conditions for K -dissipativity of every DIHS in the network under the mixed quadratic supply rate are derived. Moreover, the interconnection control is designed to stabilize the network to ISS. Finally, one example is given for illustration. © 2011 Chinese Assoc of Automati. |
| References | References in Scopus |
| dc.contributor.author | Liu, B |
|---|---|
| dc.contributor.author | Liu, T |
| dc.contributor.author | Hill, DJ |
| dc.date.accessioned | 2012-10-25T04:55:56Z |
| dc.date.available | 2012-10-25T04:55:56Z |
| dc.date.issued | 2011 |
| dc.description.abstract | This paper studies the stabilization to ISS (input-to-state stability) issue for discrete-time impulsive hybrid systems (DIHS) with mixed K -dissipativity property. Firstly, the new concept of mixed K -dissipativity is proposed for DIHS. Then, the criteria of stabilization in the sense of ISS are derived for mixed K -dissipative DIHS. It shows that for a mixed K -dissipative DIHS, under the same state feedback control, even if all subsystems have no ISS, the whole DIHS may still has ISS property. The results are then used to study the case of network via impulsive interconnections. The linear matrix inequality (LMI) conditions for K -dissipativity of every DIHS in the network under the mixed quadratic supply rate are derived. Moreover, the interconnection control is designed to stabilize the network to ISS. Finally, one example is given for illustration. © 2011 Chinese Assoc of Automati. |
| dc.description.nature | Link_to_subscribed_fulltext |
| dc.identifier.citation | Proceedings Of The 30Th Chinese Control Conference, Ccc 2011, 2011, p. 1753-1758 [How to Cite?] |
| dc.identifier.epage | 1758 |
| dc.identifier.scopus | eid_2-s2.0-80053065847 |
| dc.identifier.spage | 1753 |
| dc.identifier.uri | http://hdl.handle.net/10722/169831 |
| dc.language | eng |
| dc.relation.ispartof | Proceedings of the 30th Chinese Control Conference, CCC 2011 |
| dc.relation.references | References in Scopus |
| dc.subject | Dihs |
| dc.subject | Dissipativity |
| dc.subject | Iss |
| dc.subject | Mixed K -Dissipativity |
| dc.subject | Network Via Impulsive Interconnections |
| dc.subject | Stabilization |
| dc.title | Stabilization to ISS for discrete-time impulsive hybrid systems with mixed K -dissipativity |
| dc.type | Conference_Paper |
Author Affiliations
- University of Sydney
- Australian National University