Exponential Stability of Switched Neural Networks with Partial State Reset and Time-Varying Delays
This paper mainly investigates the exponential stability of switched neural networks (SNNs) with partial state reset and time-varying delays, in which partial state reset means that only a fraction of the states can be reset at each switching instant. Moreover, both stable and unstable subsystems ar...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-10-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/20/3870 |
| _version_ | 1827617373971021824 |
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| author | Han Pan Wenbing Zhang Luyang Yu |
| author_facet | Han Pan Wenbing Zhang Luyang Yu |
| author_sort | Han Pan |
| collection | DOAJ |
| description | This paper mainly investigates the exponential stability of switched neural networks (SNNs) with partial state reset and time-varying delays, in which partial state reset means that only a fraction of the states can be reset at each switching instant. Moreover, both stable and unstable subsystems are also taken into account and therefore, switched systems under consideration can take several switched systems as special cases. The comparison principle, the Halanay-like inequality, and the time-dependent switched Lyapunov function approach are used to obtain sufficient conditions to ensure that the considered SNNs with delays and partial state reset are exponentially stable. Numerical examples are provided to demonstrate the reliability of the developed results. |
| first_indexed | 2024-03-09T09:45:00Z |
| format | Article |
| id | doaj.art-ad15c8abb7554033bd4e963cb4fca112 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T09:45:00Z |
| publishDate | 2022-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-ad15c8abb7554033bd4e963cb4fca1122023-12-02T00:37:20ZengMDPI AGMathematics2227-73902022-10-011020387010.3390/math10203870Exponential Stability of Switched Neural Networks with Partial State Reset and Time-Varying DelaysHan Pan0Wenbing Zhang1Luyang Yu2School of Mathematical Sciences, Yangzhou University, Yangzhou 225002, ChinaSchool of Mathematical Sciences, Yangzhou University, Yangzhou 225002, ChinaSchool of Mathematical Sciences, Yangzhou University, Yangzhou 225002, ChinaThis paper mainly investigates the exponential stability of switched neural networks (SNNs) with partial state reset and time-varying delays, in which partial state reset means that only a fraction of the states can be reset at each switching instant. Moreover, both stable and unstable subsystems are also taken into account and therefore, switched systems under consideration can take several switched systems as special cases. The comparison principle, the Halanay-like inequality, and the time-dependent switched Lyapunov function approach are used to obtain sufficient conditions to ensure that the considered SNNs with delays and partial state reset are exponentially stable. Numerical examples are provided to demonstrate the reliability of the developed results.https://www.mdpi.com/2227-7390/10/20/3870switched systemsLyapunov functionpartial state resetimpulsive systems |
| spellingShingle | Han Pan Wenbing Zhang Luyang Yu Exponential Stability of Switched Neural Networks with Partial State Reset and Time-Varying Delays Mathematics switched systems Lyapunov function partial state reset impulsive systems |
| title | Exponential Stability of Switched Neural Networks with Partial State Reset and Time-Varying Delays |
| title_full | Exponential Stability of Switched Neural Networks with Partial State Reset and Time-Varying Delays |
| title_fullStr | Exponential Stability of Switched Neural Networks with Partial State Reset and Time-Varying Delays |
| title_full_unstemmed | Exponential Stability of Switched Neural Networks with Partial State Reset and Time-Varying Delays |
| title_short | Exponential Stability of Switched Neural Networks with Partial State Reset and Time-Varying Delays |
| title_sort | exponential stability of switched neural networks with partial state reset and time varying delays |
| topic | switched systems Lyapunov function partial state reset impulsive systems |
| url | https://www.mdpi.com/2227-7390/10/20/3870 |
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