Reachable Set Estimation of Discrete Singular Systems with Time-Varying Delays and Bounded Peak Inputs
This paper studies the estimation of reachable sets for discrete-time singular systems with time-varying delays and bounded peak inputs. A novel linear matrix inequality condition for the reachable set estimation of the time-varying time-delay discrete singular system is derived using an inverse con...
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| Format: | Article |
| Language: | English |
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MDPI AG
2024-12-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/13/1/79 |
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| author | Hongli Yang Lijuan Yang Ivan Ganchev Ivanov |
| author_facet | Hongli Yang Lijuan Yang Ivan Ganchev Ivanov |
| author_sort | Hongli Yang |
| collection | DOAJ |
| description | This paper studies the estimation of reachable sets for discrete-time singular systems with time-varying delays and bounded peak inputs. A novel linear matrix inequality condition for the reachable set estimation of the time-varying time-delay discrete singular system is derived using an inverse convex combination and the discrete form of the Wirtinger inequality. Furthermore, the symmetric matrix involved in the obtained results does not need to be positively definite. Compared to decomposing the time-delay discrete singular system under consideration into fast and slow subsystems, the method presented in this paper is simpler and involves fewer variables. Two numerical examples are provided to illustrate the proposed method. |
| format | Article |
| id | doaj-art-4881b3baf6d6479693a2fa08426d7ee0 |
| institution | Kabale University |
| issn | 2227-7390 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj-art-4881b3baf6d6479693a2fa08426d7ee02025-01-10T13:18:11ZengMDPI AGMathematics2227-73902024-12-011317910.3390/math13010079Reachable Set Estimation of Discrete Singular Systems with Time-Varying Delays and Bounded Peak InputsHongli Yang0Lijuan Yang1Ivan Ganchev Ivanov2School of Data Science, Qingdao Huanghai University, Linghai Road 1145, Qingdao 266427, ChinaCollege of Mathematics and Systems Science, Shandong University of Science and Technology, Qianwangang Road 579, Qingdao 266590, ChinaFaculty of Economics and Business Administration, Sofia University, 1113 Sofia, BulgariaThis paper studies the estimation of reachable sets for discrete-time singular systems with time-varying delays and bounded peak inputs. A novel linear matrix inequality condition for the reachable set estimation of the time-varying time-delay discrete singular system is derived using an inverse convex combination and the discrete form of the Wirtinger inequality. Furthermore, the symmetric matrix involved in the obtained results does not need to be positively definite. Compared to decomposing the time-delay discrete singular system under consideration into fast and slow subsystems, the method presented in this paper is simpler and involves fewer variables. Two numerical examples are provided to illustrate the proposed method.https://www.mdpi.com/2227-7390/13/1/79reachable settime-delaysingular systemsLMIWirtinger inequality |
| spellingShingle | Hongli Yang Lijuan Yang Ivan Ganchev Ivanov Reachable Set Estimation of Discrete Singular Systems with Time-Varying Delays and Bounded Peak Inputs Mathematics reachable set time-delay singular systems LMI Wirtinger inequality |
| title | Reachable Set Estimation of Discrete Singular Systems with Time-Varying Delays and Bounded Peak Inputs |
| title_full | Reachable Set Estimation of Discrete Singular Systems with Time-Varying Delays and Bounded Peak Inputs |
| title_fullStr | Reachable Set Estimation of Discrete Singular Systems with Time-Varying Delays and Bounded Peak Inputs |
| title_full_unstemmed | Reachable Set Estimation of Discrete Singular Systems with Time-Varying Delays and Bounded Peak Inputs |
| title_short | Reachable Set Estimation of Discrete Singular Systems with Time-Varying Delays and Bounded Peak Inputs |
| title_sort | reachable set estimation of discrete singular systems with time varying delays and bounded peak inputs |
| topic | reachable set time-delay singular systems LMI Wirtinger inequality |
| url | https://www.mdpi.com/2227-7390/13/1/79 |
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