Improved Stability Criteria for Discrete-time Delay Systems via Novel Summation Inequalities
This paper is concerned with the stability analysis of linear discrete time-delay systems. New discrete inequalities for single summation and double summation are presented to estimate summation terms in the forward difference of Lyapunov-Krasovskii functional (LKF), which are more general than some...
| Main Authors: | , , , |
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| Format: | Journal Article |
| Published: |
Springer
2018
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| Online Access: | http://hdl.handle.net/20.500.11937/69464 |
| _version_ | 1848762047670517760 |
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| author | Xiao, S. Xu, L. Zeng, H. Teo, Kok Lay |
| author_facet | Xiao, S. Xu, L. Zeng, H. Teo, Kok Lay |
| author_sort | Xiao, S. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | This paper is concerned with the stability analysis of linear discrete time-delay systems. New discrete inequalities for single summation and double summation are presented to estimate summation terms in the forward difference of Lyapunov-Krasovskii functional (LKF), which are more general than some commonly used summation inequalities. Through the construction of an augmented LKF, improved delay-dependent stability criteria for discrete time-delay systems are established. Based on this, a time-delayed controller is derived for linear discrete time-delay systems. Finally, the advantages of the proposed criteria are revealed from the solutions of the numerical examples. |
| first_indexed | 2025-11-14T10:41:21Z |
| format | Journal Article |
| id | curtin-20.500.11937-69464 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T10:41:21Z |
| publishDate | 2018 |
| publisher | Springer |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-694642019-01-10T07:20:53Z Improved Stability Criteria for Discrete-time Delay Systems via Novel Summation Inequalities Xiao, S. Xu, L. Zeng, H. Teo, Kok Lay This paper is concerned with the stability analysis of linear discrete time-delay systems. New discrete inequalities for single summation and double summation are presented to estimate summation terms in the forward difference of Lyapunov-Krasovskii functional (LKF), which are more general than some commonly used summation inequalities. Through the construction of an augmented LKF, improved delay-dependent stability criteria for discrete time-delay systems are established. Based on this, a time-delayed controller is derived for linear discrete time-delay systems. Finally, the advantages of the proposed criteria are revealed from the solutions of the numerical examples. 2018 Journal Article http://hdl.handle.net/20.500.11937/69464 10.1007/s12555-017-0279-8 Springer restricted |
| spellingShingle | Xiao, S. Xu, L. Zeng, H. Teo, Kok Lay Improved Stability Criteria for Discrete-time Delay Systems via Novel Summation Inequalities |
| title | Improved Stability Criteria for Discrete-time Delay Systems via Novel Summation Inequalities |
| title_full | Improved Stability Criteria for Discrete-time Delay Systems via Novel Summation Inequalities |
| title_fullStr | Improved Stability Criteria for Discrete-time Delay Systems via Novel Summation Inequalities |
| title_full_unstemmed | Improved Stability Criteria for Discrete-time Delay Systems via Novel Summation Inequalities |
| title_short | Improved Stability Criteria for Discrete-time Delay Systems via Novel Summation Inequalities |
| title_sort | improved stability criteria for discrete-time delay systems via novel summation inequalities |
| url | http://hdl.handle.net/20.500.11937/69464 |