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Article: Input-to-state exponents and related ISS for delayed discrete-time systems with application to impulsive effects
Title | Input-to-state exponents and related ISS for delayed discrete-time systems with application to impulsive effects |
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Authors | |
Keywords | Delayed discrete-time system (DDS) Input-to-state exponent (IS-e) Input-to-state stability (ISS) Time delay Uniform M-matrix |
Issue Date | 2018 |
Publisher | John Wiley & Sons Ltd. The Journal's web site is located at http://www3.interscience.wiley.com/cgi-bin/jhome/5510 |
Citation | International Journal of Robust and Nonlinear Control, 2018, v. 28 n. 2, p. 640-660 How to Cite? |
Abstract | This paper aims to investigate the input-to-state exponents (IS-e) and the related input-to-state stability (ISS) for delayed discrete-time systems (DDSs). By using the method of variation of parameters and introducing notions of uniform and weak uniform M-matrix, the estimates for 3 kinds of IS-e are derived for time-varying DDSs. The exponential ISS conditions with parts suitable for infinite delays are thus established, by which the difference from the time-invariant case is shown. The exponential stability of a time-varying DDS with zero external input cannot guarantee its ISS. Moreover, based on the IS-e estimates for DDSs, the exponential ISS under events criteria for DDSs with impulsive effects are obtained. The results are then applied in 1 example to test synchronization in the sense of ISS for a delayed discrete-time network, where the impulsive control is designed to stabilize such an asynchronous network to the synchronization. |
Persistent Identifier | http://hdl.handle.net/10722/263248 |
ISSN | 2023 Impact Factor: 3.2 2023 SCImago Journal Rankings: 1.459 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Liu, B | - |
dc.contributor.author | Hill, DJ | - |
dc.contributor.author | Sun, Z | - |
dc.date.accessioned | 2018-10-22T07:35:52Z | - |
dc.date.available | 2018-10-22T07:35:52Z | - |
dc.date.issued | 2018 | - |
dc.identifier.citation | International Journal of Robust and Nonlinear Control, 2018, v. 28 n. 2, p. 640-660 | - |
dc.identifier.issn | 1049-8923 | - |
dc.identifier.uri | http://hdl.handle.net/10722/263248 | - |
dc.description.abstract | This paper aims to investigate the input-to-state exponents (IS-e) and the related input-to-state stability (ISS) for delayed discrete-time systems (DDSs). By using the method of variation of parameters and introducing notions of uniform and weak uniform M-matrix, the estimates for 3 kinds of IS-e are derived for time-varying DDSs. The exponential ISS conditions with parts suitable for infinite delays are thus established, by which the difference from the time-invariant case is shown. The exponential stability of a time-varying DDS with zero external input cannot guarantee its ISS. Moreover, based on the IS-e estimates for DDSs, the exponential ISS under events criteria for DDSs with impulsive effects are obtained. The results are then applied in 1 example to test synchronization in the sense of ISS for a delayed discrete-time network, where the impulsive control is designed to stabilize such an asynchronous network to the synchronization. | - |
dc.language | eng | - |
dc.publisher | John Wiley & Sons Ltd. The Journal's web site is located at http://www3.interscience.wiley.com/cgi-bin/jhome/5510 | - |
dc.relation.ispartof | International Journal of Robust and Nonlinear Control | - |
dc.subject | Delayed discrete-time system (DDS) | - |
dc.subject | Input-to-state exponent (IS-e) | - |
dc.subject | Input-to-state stability (ISS) | - |
dc.subject | Time delay | - |
dc.subject | Uniform M-matrix | - |
dc.title | Input-to-state exponents and related ISS for delayed discrete-time systems with application to impulsive effects | - |
dc.type | Article | - |
dc.identifier.email | Hill, DJ: dhill@eee.hku.hk | - |
dc.identifier.authority | Hill, DJ=rp01669 | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1002/rnc.3891 | - |
dc.identifier.scopus | eid_2-s2.0-85038814604 | - |
dc.identifier.hkuros | 293631 | - |
dc.identifier.volume | 28 | - |
dc.identifier.issue | 2 | - |
dc.identifier.spage | 640 | - |
dc.identifier.epage | 660 | - |
dc.identifier.isi | WOS:000418409100017 | - |
dc.publisher.place | United Kingdom | - |
dc.identifier.issnl | 1049-8923 | - |