File Download
There are no files associated with this item.
Links for fulltext
(May Require Subscription)
- Publisher Website: 10.1002/rnc.4400
- Scopus: eid_2-s2.0-85056719310
- WOS: WOS:000452528200006
- Find via
Supplementary
- Citations:
- Appears in Collections:
Article: Mean square stability of linear stochastic neutral‐type time‐delay systems with multiple delays
Title | Mean square stability of linear stochastic neutral‐type time‐delay systems with multiple delays |
---|---|
Authors | |
Keywords | Augmented Lyapunov-Krasovskii functional Mean square stability Multiple time delays Neutral-type time-delay systems Stochastic systems |
Issue Date | 2019 |
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, 2019, v. 29 n. 2, p. 451-472 How to Cite? |
Abstract | This paper studies mean square exponential stability of linear stochastic neutral‐type time‐delay systems with multiple point delays by using an augmented Lyapunov‐Krasovskii functional (LKF) approach. To build a suitable augmented LKF, a method is proposed to find an augmented state vector whose elements are linearly independent. With the help of the linearly independent augmented state vector, the constructed LKF, and properties of the stochastic integral, sufficient delay‐dependent stability conditions expressed by linear matrix inequalities are established to guarantee the mean square exponential stability of the system. Differently from previous results where the difference operator associated with the system needs to satisfy a condition in terms of matrix norms, in the current paper, the difference operator only needs to satisfy a less restrictive condition in terms of matrix spectral radius. The effectiveness of the proposed approach is illustrated by two numerical examples. |
Persistent Identifier | http://hdl.handle.net/10722/271946 |
ISSN | 2023 Impact Factor: 3.2 2023 SCImago Journal Rankings: 1.459 |
ISI Accession Number ID |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Li, ZY | - |
dc.contributor.author | Lam, J | - |
dc.contributor.author | Fang, R | - |
dc.date.accessioned | 2019-07-20T10:32:36Z | - |
dc.date.available | 2019-07-20T10:32:36Z | - |
dc.date.issued | 2019 | - |
dc.identifier.citation | International Journal of Robust and Nonlinear Control, 2019, v. 29 n. 2, p. 451-472 | - |
dc.identifier.issn | 1049-8923 | - |
dc.identifier.uri | http://hdl.handle.net/10722/271946 | - |
dc.description.abstract | This paper studies mean square exponential stability of linear stochastic neutral‐type time‐delay systems with multiple point delays by using an augmented Lyapunov‐Krasovskii functional (LKF) approach. To build a suitable augmented LKF, a method is proposed to find an augmented state vector whose elements are linearly independent. With the help of the linearly independent augmented state vector, the constructed LKF, and properties of the stochastic integral, sufficient delay‐dependent stability conditions expressed by linear matrix inequalities are established to guarantee the mean square exponential stability of the system. Differently from previous results where the difference operator associated with the system needs to satisfy a condition in terms of matrix norms, in the current paper, the difference operator only needs to satisfy a less restrictive condition in terms of matrix spectral radius. The effectiveness of the proposed approach is illustrated by two numerical examples. | - |
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 | Augmented Lyapunov-Krasovskii functional | - |
dc.subject | Mean square stability | - |
dc.subject | Multiple time delays | - |
dc.subject | Neutral-type time-delay systems | - |
dc.subject | Stochastic systems | - |
dc.title | Mean square stability of linear stochastic neutral‐type time‐delay systems with multiple delays | - |
dc.type | Article | - |
dc.identifier.email | Lam, J: jlam@hku.hk | - |
dc.identifier.authority | Lam, J=rp00133 | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1002/rnc.4400 | - |
dc.identifier.scopus | eid_2-s2.0-85056719310 | - |
dc.identifier.hkuros | 299335 | - |
dc.identifier.volume | 29 | - |
dc.identifier.issue | 2 | - |
dc.identifier.spage | 451 | - |
dc.identifier.epage | 472 | - |
dc.identifier.isi | WOS:000452528200006 | - |
dc.publisher.place | United Kingdom | - |
dc.identifier.issnl | 1049-8923 | - |