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Article: Stability analysis of uncertain discrete-time systems with time-varying state delay: A parameter-dependent Lyapunov function approach
Title | Stability analysis of uncertain discrete-time systems with time-varying state delay: A parameter-dependent Lyapunov function approach |
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Authors | |
Keywords | Discrete-Time Systems Networked Control Systems Robust Stability Time-Delay Systems |
Issue Date | 2006 |
Citation | Asian Journal Of Control, 2006, v. 8 n. 4, p. 433-440 How to Cite? |
Abstract | This paper presents several new robust stability conditions for linear discrete-time systems with polytopic parameter uncertainties and time-varying delay in the state. These stability criteria, derived by defining parameter-dependent Lyapunov functions, are not only dependent on the maximum and minimum delay bounds, but also dependent on uncertain parameters in the sense that different Lyapunov functions are used for the entire uncertainty domain. It is established, theoretically, that these robust stability criteria for the nominal and constant-delay case encompass some existing result as their special case. The delay-dependent and parameter-dependent nature of these results guarantees the proposed robust stability criteria to be potentially less conservative. |
Persistent Identifier | http://hdl.handle.net/10722/156881 |
ISSN | 2023 Impact Factor: 2.7 2023 SCImago Journal Rankings: 0.677 |
DC Field | Value | Language |
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dc.contributor.author | Gao, H | en_US |
dc.contributor.author | Lam, J | en_US |
dc.contributor.author | Chen, T | en_US |
dc.contributor.author | Wang, C | en_US |
dc.date.accessioned | 2012-08-08T08:44:24Z | - |
dc.date.available | 2012-08-08T08:44:24Z | - |
dc.date.issued | 2006 | en_US |
dc.identifier.citation | Asian Journal Of Control, 2006, v. 8 n. 4, p. 433-440 | en_US |
dc.identifier.issn | 1561-8625 | en_US |
dc.identifier.uri | http://hdl.handle.net/10722/156881 | - |
dc.description.abstract | This paper presents several new robust stability conditions for linear discrete-time systems with polytopic parameter uncertainties and time-varying delay in the state. These stability criteria, derived by defining parameter-dependent Lyapunov functions, are not only dependent on the maximum and minimum delay bounds, but also dependent on uncertain parameters in the sense that different Lyapunov functions are used for the entire uncertainty domain. It is established, theoretically, that these robust stability criteria for the nominal and constant-delay case encompass some existing result as their special case. The delay-dependent and parameter-dependent nature of these results guarantees the proposed robust stability criteria to be potentially less conservative. | en_US |
dc.language | eng | en_US |
dc.relation.ispartof | Asian Journal of Control | en_US |
dc.subject | Discrete-Time Systems | en_US |
dc.subject | Networked Control Systems | en_US |
dc.subject | Robust Stability | en_US |
dc.subject | Time-Delay Systems | en_US |
dc.title | Stability analysis of uncertain discrete-time systems with time-varying state delay: A parameter-dependent Lyapunov function approach | en_US |
dc.type | Article | en_US |
dc.identifier.email | Lam, J:james.lam@hku.hk | en_US |
dc.identifier.authority | Lam, J=rp00133 | en_US |
dc.description.nature | link_to_subscribed_fulltext | en_US |
dc.identifier.scopus | eid_2-s2.0-33847348011 | en_US |
dc.identifier.volume | 8 | en_US |
dc.identifier.issue | 4 | en_US |
dc.identifier.spage | 433 | en_US |
dc.identifier.epage | 440 | en_US |
dc.publisher.place | Japan | en_US |
dc.identifier.scopusauthorid | Gao, H=7402971422 | en_US |
dc.identifier.scopusauthorid | Lam, J=7201973414 | en_US |
dc.identifier.scopusauthorid | Chen, T=7405544728 | en_US |
dc.identifier.scopusauthorid | Wang, C=8337851300 | en_US |
dc.identifier.issnl | 1561-8625 | - |