Fixed/Prescribed-Time Synchronization of Fuzzy Inertial Memristive Neural Networks With Time-Varying Delay: Interval Matrix Method and PI Control
This paper investigates the fixed/prescribed-time synchronization issues for fuzzy inertial memristive neural networks (FIMNNs) with time-varying delay, which integrate fuzzy logic, inertial terms, memristors, and time-varying delays simultaneously. The interval matrix method is employed firstly to...
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IEEE
2025-01-01
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| Online Access: | https://ieeexplore.ieee.org/document/10965618/ |
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| author | Xin Ya Wang Qing Zhang Guici Chen |
| author_facet | Xin Ya Wang Qing Zhang Guici Chen |
| author_sort | Xin Ya Wang |
| collection | DOAJ |
| description | This paper investigates the fixed/prescribed-time synchronization issues for fuzzy inertial memristive neural networks (FIMNNs) with time-varying delay, which integrate fuzzy logic, inertial terms, memristors, and time-varying delays simultaneously. The interval matrix method is employed firstly to deal with the state-dependent switching parameters, which is distinguished from the existing maximum absolute value approach. Consequently, the FIMNNs with time-varying delay are transformed into a type of delayed fuzzy systems, with coefficients characterized by a series of interval matrices. Following this, within the framework of Filippov solutions and differential inclusions, fixed/prescribed-time synchronization is comprehensively discussed. Two novel PI feedback controllers are synthesized through the resolution of a series of linear matrix inequalities (LMIs), followed by numerical simulations to demonstrate their effectiveness. |
| format | Article |
| id | doaj-art-e7e49aa481fe45938d674924f78f7561 |
| institution | OA Journals |
| issn | 2169-3536 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj-art-e7e49aa481fe45938d674924f78f75612025-08-20T02:20:23ZengIEEEIEEE Access2169-35362025-01-0113701057011510.1109/ACCESS.2025.356111610965618Fixed/Prescribed-Time Synchronization of Fuzzy Inertial Memristive Neural Networks With Time-Varying Delay: Interval Matrix Method and PI ControlXin Ya Wang0https://orcid.org/0009-0002-4868-9540Qing Zhang1https://orcid.org/0009-0004-9351-0989Guici Chen2https://orcid.org/0000-0002-3069-0829College of Science, Wuhan University of Science and Technology, Wuhan, ChinaCollege of Science, Wuhan University of Science and Technology, Wuhan, ChinaCollege of Science, Wuhan University of Science and Technology, Wuhan, ChinaThis paper investigates the fixed/prescribed-time synchronization issues for fuzzy inertial memristive neural networks (FIMNNs) with time-varying delay, which integrate fuzzy logic, inertial terms, memristors, and time-varying delays simultaneously. The interval matrix method is employed firstly to deal with the state-dependent switching parameters, which is distinguished from the existing maximum absolute value approach. Consequently, the FIMNNs with time-varying delay are transformed into a type of delayed fuzzy systems, with coefficients characterized by a series of interval matrices. Following this, within the framework of Filippov solutions and differential inclusions, fixed/prescribed-time synchronization is comprehensively discussed. Two novel PI feedback controllers are synthesized through the resolution of a series of linear matrix inequalities (LMIs), followed by numerical simulations to demonstrate their effectiveness.https://ieeexplore.ieee.org/document/10965618/Memristivefuzzy inertial neural networks (FINNs)interval matrix methodfixed-time synchronization (FTS)prescribed-time synchronization (PTS) |
| spellingShingle | Xin Ya Wang Qing Zhang Guici Chen Fixed/Prescribed-Time Synchronization of Fuzzy Inertial Memristive Neural Networks With Time-Varying Delay: Interval Matrix Method and PI Control IEEE Access Memristive fuzzy inertial neural networks (FINNs) interval matrix method fixed-time synchronization (FTS) prescribed-time synchronization (PTS) |
| title | Fixed/Prescribed-Time Synchronization of Fuzzy Inertial Memristive Neural Networks With Time-Varying Delay: Interval Matrix Method and PI Control |
| title_full | Fixed/Prescribed-Time Synchronization of Fuzzy Inertial Memristive Neural Networks With Time-Varying Delay: Interval Matrix Method and PI Control |
| title_fullStr | Fixed/Prescribed-Time Synchronization of Fuzzy Inertial Memristive Neural Networks With Time-Varying Delay: Interval Matrix Method and PI Control |
| title_full_unstemmed | Fixed/Prescribed-Time Synchronization of Fuzzy Inertial Memristive Neural Networks With Time-Varying Delay: Interval Matrix Method and PI Control |
| title_short | Fixed/Prescribed-Time Synchronization of Fuzzy Inertial Memristive Neural Networks With Time-Varying Delay: Interval Matrix Method and PI Control |
| title_sort | fixed prescribed time synchronization of fuzzy inertial memristive neural networks with time varying delay interval matrix method and pi control |
| topic | Memristive fuzzy inertial neural networks (FINNs) interval matrix method fixed-time synchronization (FTS) prescribed-time synchronization (PTS) |
| url | https://ieeexplore.ieee.org/document/10965618/ |
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