Partitioning Technique for Relaxed Stability Criteria of Discrete-Time Systems with Interval Time-Varying Delay
We demonstrate an improved stability analysis based on a partition oriented technique for discrete-time systems with interval time-varying delay. The partition oriented technique introduces beneficial terms contributing to the negative definiteness of the Lyapunov function difference, meanwhile comp...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2014/297324 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849414628009836544 |
|---|---|
| author | Kuang-Yow Lian Wen-Tsung Yang Peter Liu |
| author_facet | Kuang-Yow Lian Wen-Tsung Yang Peter Liu |
| author_sort | Kuang-Yow Lian |
| collection | DOAJ |
| description | We demonstrate an improved stability analysis based on a partition oriented technique for discrete-time systems with interval time-varying delay. The partition oriented technique introduces beneficial terms contributing to the negative definiteness of the Lyapunov function difference, meanwhile completely avoiding traditional inequality based approaches. In contrast, nonpartitioning oriented techniques do not put emphasis on further dividing the interval of the summation in the Lyapunov function. Herein, we demonstrate that the advantages of exploiting partitioning techniques manifest the relaxed stability criteria, as well as the flexibility to tune tradeoff between allowable timedelay range performance and computational load. Simulation carried out on a benchmark discrete-time system reveals the significant improvement in terms of maximum allowable upper bound in comparison. |
| format | Article |
| id | doaj-art-6bc532694acc41f08c3233f47e444bd2 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-6bc532694acc41f08c3233f47e444bd22025-08-20T03:33:46ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2014-01-01201410.1155/2014/297324297324Partitioning Technique for Relaxed Stability Criteria of Discrete-Time Systems with Interval Time-Varying DelayKuang-Yow Lian0Wen-Tsung Yang1Peter Liu2Department of Electrical Engineering, National Taipei University of Technology, Taipei 10608, TaiwanDepartment of Electrical Engineering, Chung-Yuan Christian University, Chung-Li 32023, TaiwanDepartment of Electrical Engineering, Tamkang University, New Taipei City 25137, TaiwanWe demonstrate an improved stability analysis based on a partition oriented technique for discrete-time systems with interval time-varying delay. The partition oriented technique introduces beneficial terms contributing to the negative definiteness of the Lyapunov function difference, meanwhile completely avoiding traditional inequality based approaches. In contrast, nonpartitioning oriented techniques do not put emphasis on further dividing the interval of the summation in the Lyapunov function. Herein, we demonstrate that the advantages of exploiting partitioning techniques manifest the relaxed stability criteria, as well as the flexibility to tune tradeoff between allowable timedelay range performance and computational load. Simulation carried out on a benchmark discrete-time system reveals the significant improvement in terms of maximum allowable upper bound in comparison.http://dx.doi.org/10.1155/2014/297324 |
| spellingShingle | Kuang-Yow Lian Wen-Tsung Yang Peter Liu Partitioning Technique for Relaxed Stability Criteria of Discrete-Time Systems with Interval Time-Varying Delay Discrete Dynamics in Nature and Society |
| title | Partitioning Technique for Relaxed Stability Criteria of Discrete-Time Systems with Interval Time-Varying Delay |
| title_full | Partitioning Technique for Relaxed Stability Criteria of Discrete-Time Systems with Interval Time-Varying Delay |
| title_fullStr | Partitioning Technique for Relaxed Stability Criteria of Discrete-Time Systems with Interval Time-Varying Delay |
| title_full_unstemmed | Partitioning Technique for Relaxed Stability Criteria of Discrete-Time Systems with Interval Time-Varying Delay |
| title_short | Partitioning Technique for Relaxed Stability Criteria of Discrete-Time Systems with Interval Time-Varying Delay |
| title_sort | partitioning technique for relaxed stability criteria of discrete time systems with interval time varying delay |
| url | http://dx.doi.org/10.1155/2014/297324 |
| work_keys_str_mv | AT kuangyowlian partitioningtechniqueforrelaxedstabilitycriteriaofdiscretetimesystemswithintervaltimevaryingdelay AT wentsungyang partitioningtechniqueforrelaxedstabilitycriteriaofdiscretetimesystemswithintervaltimevaryingdelay AT peterliu partitioningtechniqueforrelaxedstabilitycriteriaofdiscretetimesystemswithintervaltimevaryingdelay |