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Article: Uniform stability and ISS of discrete-time impulsive hybrid systems
Title | Uniform stability and ISS of discrete-time impulsive hybrid systems |
---|---|
Authors | |
Keywords | Comparison Principle Dihs (Discrete-Time Impulsive Hybrid System) Dwell Time Iss Uniform Stability |
Issue Date | 2010 |
Publisher | Elsevier Ltd. The Journal's web site is located at http://www.elsevier.com/wps/product/cws_home/709918 |
Citation | Nonlinear Analysis: Hybrid Systems, 2010, v. 4 n. 2, p. 319-333 How to Cite? |
Abstract | This paper studies the uniform stability and ISS (input-to-state stability) properties for DIHS (discrete-time impulsive hybrid systems) via comparison approach. By employing the vector-value function, the comparison principle is established for DIHS with external inputs. Then the comparison principle is used to establish the uniform stability and ISS criteria for DIHS, respectively. Moreover, regions in which the uniform stability and ISS properties can be guaranteed are estimated. As applications, the comparison principle and the results of uniform stability and ISS are used to study the robustly globally uniformly exponential stability for uncertain DIHS and exponential ISS of DIHS. It is shown that impulses contribute to stability and ISS properties for a discrete-time system which has no such properties. Two examples with numerical simulations are worked out for illustration. © 2009 Elsevier Ltd. All rights reserved. |
Persistent Identifier | http://hdl.handle.net/10722/169724 |
ISSN | 2023 Impact Factor: 3.7 2023 SCImago Journal Rankings: 1.760 |
ISI Accession Number ID | |
References |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Liu, B | en_US |
dc.contributor.author | Hill, DJ | en_US |
dc.date.accessioned | 2012-10-25T04:54:27Z | - |
dc.date.available | 2012-10-25T04:54:27Z | - |
dc.date.issued | 2010 | en_US |
dc.identifier.citation | Nonlinear Analysis: Hybrid Systems, 2010, v. 4 n. 2, p. 319-333 | en_US |
dc.identifier.issn | 1751-570X | en_US |
dc.identifier.uri | http://hdl.handle.net/10722/169724 | - |
dc.description.abstract | This paper studies the uniform stability and ISS (input-to-state stability) properties for DIHS (discrete-time impulsive hybrid systems) via comparison approach. By employing the vector-value function, the comparison principle is established for DIHS with external inputs. Then the comparison principle is used to establish the uniform stability and ISS criteria for DIHS, respectively. Moreover, regions in which the uniform stability and ISS properties can be guaranteed are estimated. As applications, the comparison principle and the results of uniform stability and ISS are used to study the robustly globally uniformly exponential stability for uncertain DIHS and exponential ISS of DIHS. It is shown that impulses contribute to stability and ISS properties for a discrete-time system which has no such properties. Two examples with numerical simulations are worked out for illustration. © 2009 Elsevier Ltd. All rights reserved. | en_US |
dc.language | eng | en_US |
dc.publisher | Elsevier Ltd. The Journal's web site is located at http://www.elsevier.com/wps/product/cws_home/709918 | en_US |
dc.relation.ispartof | Nonlinear Analysis: Hybrid Systems | en_US |
dc.subject | Comparison Principle | en_US |
dc.subject | Dihs (Discrete-Time Impulsive Hybrid System) | en_US |
dc.subject | Dwell Time | en_US |
dc.subject | Iss | en_US |
dc.subject | Uniform Stability | en_US |
dc.title | Uniform stability and ISS of discrete-time impulsive hybrid systems | en_US |
dc.type | Article | en_US |
dc.identifier.email | Hill, DJ: | en_US |
dc.identifier.authority | Hill, DJ=rp01669 | en_US |
dc.description.nature | link_to_subscribed_fulltext | en_US |
dc.identifier.doi | 10.1016/j.nahs.2009.05.002 | en_US |
dc.identifier.scopus | eid_2-s2.0-77949657899 | en_US |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-77949657899&selection=ref&src=s&origin=recordpage | en_US |
dc.identifier.volume | 4 | en_US |
dc.identifier.issue | 2 | en_US |
dc.identifier.spage | 319 | en_US |
dc.identifier.epage | 333 | en_US |
dc.identifier.isi | WOS:000208285500009 | - |
dc.publisher.place | United Kingdom | en_US |
dc.identifier.scopusauthorid | Liu, B=36079151900 | en_US |
dc.identifier.scopusauthorid | Hill, DJ=35398599500 | en_US |
dc.identifier.issnl | 1751-570X | - |