Article: Decomposable dissipativity and related stability for discrete-time switched systems
| Title | Decomposable dissipativity and related stability for discrete-time switched systems |
|---|---|
| Authors | Liu, B2 Hill, DJ1 |
| Keywords | Decomposable Dissipativity Discrete-Time Switched Systems Dissipativity Main/Subsidiary Supply Rate Stability |
| Issue Date | 2011 |
| Citation | Ieee Transactions On Automatic Control, 2011, v. 56 n. 7, p. 1666-1671 [How to Cite?] DOI: http://dx.doi.org/10.1109/TAC.2011.2121430 |
| Abstract | This note investigates dissipativity and related stability for discrete-time switched systems. The new concept of decomposable dissipativity is proposed for this kind of systems. By decomposing the supply rate into the main supply rate and the subsidiary supply rate, the energy changes of subsystems and energy dissipation in the whole switched system are explained. The uniform stability conditions are derived for decomposable dissipative discrete-time switched systems. By the decomposition of supply rate, the non-positive condition of the supply rate, which is often required in the literature to derive stability, is relaxed. Finally, one example is given to illustrate the results. © 2011 IEEE. |
| ISSN | 0018-9286 2011 Impact Factor: 2.11 2011 SCImago Journal Rankings: 0.097 |
| DOI | http://dx.doi.org/10.1109/TAC.2011.2121430 |
| References | References in Scopus |
| dc.contributor.author | Liu, B |
|---|---|
| dc.contributor.author | Hill, DJ |
| dc.date.accessioned | 2012-10-25T04:54:28Z |
| dc.date.available | 2012-10-25T04:54:28Z |
| dc.date.issued | 2011 |
| dc.description.abstract | This note investigates dissipativity and related stability for discrete-time switched systems. The new concept of decomposable dissipativity is proposed for this kind of systems. By decomposing the supply rate into the main supply rate and the subsidiary supply rate, the energy changes of subsystems and energy dissipation in the whole switched system are explained. The uniform stability conditions are derived for decomposable dissipative discrete-time switched systems. By the decomposition of supply rate, the non-positive condition of the supply rate, which is often required in the literature to derive stability, is relaxed. Finally, one example is given to illustrate the results. © 2011 IEEE. |
| dc.description.nature | Link_to_subscribed_fulltext |
| dc.identifier.citation | Ieee Transactions On Automatic Control, 2011, v. 56 n. 7, p. 1666-1671 [How to Cite?] DOI: http://dx.doi.org/10.1109/TAC.2011.2121430 |
| dc.identifier.doi | http://dx.doi.org/10.1109/TAC.2011.2121430 |
| dc.identifier.epage | 1671 |
| dc.identifier.issn | 0018-9286 2011 Impact Factor: 2.11 2011 SCImago Journal Rankings: 0.097 |
| dc.identifier.issue | 7 |
| dc.identifier.scopus | eid_2-s2.0-79960110754 |
| dc.identifier.spage | 1666 |
| dc.identifier.uri | http://hdl.handle.net/10722/169730 |
| dc.identifier.volume | 56 |
| dc.language | eng |
| dc.publisher.place | United States |
| dc.relation.ispartof | IEEE Transactions on Automatic Control |
| dc.relation.references | References in Scopus |
| dc.subject | Decomposable Dissipativity |
| dc.subject | Discrete-Time Switched Systems |
| dc.subject | Dissipativity |
| dc.subject | Main/Subsidiary Supply Rate |
| dc.subject | Stability |
| dc.title | Decomposable dissipativity and related stability for discrete-time switched systems |
| dc.type | Article |
Author Affiliations
- NICTA
- Australian National University

