New Stability Analysis Results for Linear System with Two Additive Time-Varying Delay Components
This paper focuses on the stability problems of continuous linear systems with two additive time-varying delay components. Firstly, an effective and simple Lyapunov–Krasovskii functional (LKF) is established, which not only takes adequate information of delay components and their upper bounds into c...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
|
| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2020/1745758 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832568124697739264 |
|---|---|
| author | Haitao Liu Fang Liu |
| author_facet | Haitao Liu Fang Liu |
| author_sort | Haitao Liu |
| collection | DOAJ |
| description | This paper focuses on the stability problems of continuous linear systems with two additive time-varying delay components. Firstly, an effective and simple Lyapunov–Krasovskii functional (LKF) is established, which not only takes adequate information of delay components and their upper bounds into consideration but also establishes a simpler form to decrease the computational complexity. Secondly, an improved delay-dependent stability criterion together with its corollary is obtained by employing the generalized free-weighting-matrix-based (GFWM-based) inequality and some other techniques to calculate the derivative of the constructed LKF, which will further reduce the introduced estimation error and make the criteria less conservative. Lastly, a numerical example is presented to illustrate the less conservatism and lower computational complexity of the derived results. |
| format | Article |
| id | doaj-art-0dffa9e83b0c4749b7bf43a3b216a95b |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-0dffa9e83b0c4749b7bf43a3b216a95b2025-02-03T00:59:41ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/17457581745758New Stability Analysis Results for Linear System with Two Additive Time-Varying Delay ComponentsHaitao Liu0Fang Liu1School of Automation, Central South University, Changsha 410083, ChinaSchool of Automation, Central South University, Changsha 410083, ChinaThis paper focuses on the stability problems of continuous linear systems with two additive time-varying delay components. Firstly, an effective and simple Lyapunov–Krasovskii functional (LKF) is established, which not only takes adequate information of delay components and their upper bounds into consideration but also establishes a simpler form to decrease the computational complexity. Secondly, an improved delay-dependent stability criterion together with its corollary is obtained by employing the generalized free-weighting-matrix-based (GFWM-based) inequality and some other techniques to calculate the derivative of the constructed LKF, which will further reduce the introduced estimation error and make the criteria less conservative. Lastly, a numerical example is presented to illustrate the less conservatism and lower computational complexity of the derived results.http://dx.doi.org/10.1155/2020/1745758 |
| spellingShingle | Haitao Liu Fang Liu New Stability Analysis Results for Linear System with Two Additive Time-Varying Delay Components Complexity |
| title | New Stability Analysis Results for Linear System with Two Additive Time-Varying Delay Components |
| title_full | New Stability Analysis Results for Linear System with Two Additive Time-Varying Delay Components |
| title_fullStr | New Stability Analysis Results for Linear System with Two Additive Time-Varying Delay Components |
| title_full_unstemmed | New Stability Analysis Results for Linear System with Two Additive Time-Varying Delay Components |
| title_short | New Stability Analysis Results for Linear System with Two Additive Time-Varying Delay Components |
| title_sort | new stability analysis results for linear system with two additive time varying delay components |
| url | http://dx.doi.org/10.1155/2020/1745758 |
| work_keys_str_mv | AT haitaoliu newstabilityanalysisresultsforlinearsystemwithtwoadditivetimevaryingdelaycomponents AT fangliu newstabilityanalysisresultsforlinearsystemwithtwoadditivetimevaryingdelaycomponents |