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- Publisher Website: 10.1016/j.jfranklin.2017.08.043
- Scopus: eid_2-s2.0-85029763055
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Article: Exponential input-to-state stability under events for hybrid dynamical networks with coupling time-delays
Title | Exponential input-to-state stability under events for hybrid dynamical networks with coupling time-delays |
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Authors | |
Issue Date | 2017 |
Publisher | Pergamon. The Journal's web site is located at http://www.elsevier.com/locate/jfranklin |
Citation | Journal of the Franklin Institute, 2017, v. 354 n. 16, p. 7476-7503 How to Cite? |
Abstract | This paper studies the exponential input-to-state stability under events (called as exponential ISS under events) for hybrid dynamical networks (HDNs) with coupling time-delays. Notions of input-to-state exponent, exponential ISS under events, and uniform exponential ISS under events are proposed. The exponential ISS under events and the uniform case are studied according to whether the flow gain is a small-gain or not. When the flow gain is a small-gain, Halanay-type ISS Lemmas are firstly established and used to derive criteria of exponential ISS under events and uniform exponential ISS under events. And the minimal dwell time between two consecutive events required for HDNs to achieve uniform exponential ISS under events is estimated. When the flow gain may be not a small-gain, by the method of Lyapunov–Krasovskii functional and M-matrix theory, criteria of exponential ISS under events and uniform exponential ISS under events are also established. And the maximal dwell time between two consecutive events is given for the uniform case. All conditions and results on the uniform case are easily checkable. Examples are given through the paper to illustrate the theoretical results. |
Persistent Identifier | http://hdl.handle.net/10722/259258 |
ISSN | 2023 Impact Factor: 3.7 2023 SCImago Journal Rankings: 1.191 |
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 | Liu, T | - |
dc.date.accessioned | 2018-09-03T04:04:01Z | - |
dc.date.available | 2018-09-03T04:04:01Z | - |
dc.date.issued | 2017 | - |
dc.identifier.citation | Journal of the Franklin Institute, 2017, v. 354 n. 16, p. 7476-7503 | - |
dc.identifier.issn | 0016-0032 | - |
dc.identifier.uri | http://hdl.handle.net/10722/259258 | - |
dc.description.abstract | This paper studies the exponential input-to-state stability under events (called as exponential ISS under events) for hybrid dynamical networks (HDNs) with coupling time-delays. Notions of input-to-state exponent, exponential ISS under events, and uniform exponential ISS under events are proposed. The exponential ISS under events and the uniform case are studied according to whether the flow gain is a small-gain or not. When the flow gain is a small-gain, Halanay-type ISS Lemmas are firstly established and used to derive criteria of exponential ISS under events and uniform exponential ISS under events. And the minimal dwell time between two consecutive events required for HDNs to achieve uniform exponential ISS under events is estimated. When the flow gain may be not a small-gain, by the method of Lyapunov–Krasovskii functional and M-matrix theory, criteria of exponential ISS under events and uniform exponential ISS under events are also established. And the maximal dwell time between two consecutive events is given for the uniform case. All conditions and results on the uniform case are easily checkable. Examples are given through the paper to illustrate the theoretical results. | - |
dc.language | eng | - |
dc.publisher | Pergamon. The Journal's web site is located at http://www.elsevier.com/locate/jfranklin | - |
dc.relation.ispartof | Journal of the Franklin Institute | - |
dc.title | Exponential input-to-state stability under events for hybrid dynamical networks with coupling time-delays | - |
dc.type | Article | - |
dc.identifier.email | Liu, B: binliu@hku.hk | - |
dc.identifier.email | Hill, DJ: dhill@eee.hku.hk | - |
dc.identifier.email | Liu, T: taoliu@eee.hku.hk | - |
dc.identifier.authority | Hill, DJ=rp01669 | - |
dc.identifier.authority | Liu, T=rp02045 | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1016/j.jfranklin.2017.08.043 | - |
dc.identifier.scopus | eid_2-s2.0-85029763055 | - |
dc.identifier.hkuros | 288518 | - |
dc.identifier.hkuros | 293622 | - |
dc.identifier.volume | 354 | - |
dc.identifier.issue | 16 | - |
dc.identifier.spage | 7476 | - |
dc.identifier.epage | 7503 | - |
dc.identifier.isi | WOS:000413637800013 | - |
dc.publisher.place | United Kingdom | - |
dc.identifier.issnl | 0016-0032 | - |