Mittag–Leffler synchronization for impulsive fractional-order bidirectional associative memory neural networks via optimal linear feedback control
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| Natura: | Artículo científico |
| Lingua: | en |
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Vilniaus Universitetas
2021
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| _version_ | 1876431120454647808 |
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| author | Jiazhe Lin |
| author_facet | Jiazhe Lin |
| contents | Mittag–Leffler synchronization for impulsive fractional-order bidirectional associative memory neural networks via optimal linear feedback control Jiazhe Lin Rui Xu Liangchen Li Matemáticas Mittag optimal control impulsive effect BAM neural network actuator saturation In this paper, we are concerned with the synchronization scheme for fractional-order bidirectional associative memory (BAM) neural networks, where both synaptic transmission delay and impulsive effect are considered. By constructing Lyapunov functional, sufficient conditions are established to ensure the Mittag–Leffler synchronization. Based on Pontryagin’s maximum principle with delay, time-dependent control gains are obtained, which minimize the accumulative errors within the limitation of actuator saturation during the Mittag–Leffler synchronization. Numerical simulations are carried out to illustrate the feasibility and effectiveness of theoretical results with the help of the modified predictor-corrector algorithm and the forward-backward sweep method. 2021 artículo científico 1392-5113 https://www.redalyc.org/articulo.oa?id=694172869002 https://www.redalyc.org/journal/6941/694172869002/ https://www.redalyc.org/journal/6941/694172869002/html/ https://www.redalyc.org/journal/6941/694172869002/694172869002.epub https://www.redalyc.org/journal/6941/694172869002/movil https://doi.org/10.15388/namc.2021.26.21203 en http://www.redalyc.org/revista.oa?id=6941 Nonlinear Analysis: Modelling and Control application/pdf Vilniaus Universitetas Nonlinear Analysis: Modelling and Control (Lituania) Num.2 Vol.26 |
| format | Artículo científico |
| id | redalyc_694172869002 |
| institution | Redalyc |
| language | en |
| publishDate | 2021 |
| publisher | Vilniaus Universitetas |
| spellingShingle | Mittag–Leffler synchronization for impulsive fractional-order bidirectional associative memory neural networks via optimal linear feedback control Jiazhe Lin Matemáticas Mittag optimal control impulsive effect BAM neural network actuator saturation Mittag–Leffler synchronization for impulsive fractional-order bidirectional associative memory neural networks via optimal linear feedback control Jiazhe Lin Rui Xu Liangchen Li Matemáticas Mittag optimal control impulsive effect BAM neural network actuator saturation In this paper, we are concerned with the synchronization scheme for fractional-order bidirectional associative memory (BAM) neural networks, where both synaptic transmission delay and impulsive effect are considered. By constructing Lyapunov functional, sufficient conditions are established to ensure the Mittag–Leffler synchronization. Based on Pontryagin’s maximum principle with delay, time-dependent control gains are obtained, which minimize the accumulative errors within the limitation of actuator saturation during the Mittag–Leffler synchronization. Numerical simulations are carried out to illustrate the feasibility and effectiveness of theoretical results with the help of the modified predictor-corrector algorithm and the forward-backward sweep method. 2021 artículo científico 1392-5113 https://www.redalyc.org/articulo.oa?id=694172869002 https://www.redalyc.org/journal/6941/694172869002/ https://www.redalyc.org/journal/6941/694172869002/html/ https://www.redalyc.org/journal/6941/694172869002/694172869002.epub https://www.redalyc.org/journal/6941/694172869002/movil https://doi.org/10.15388/namc.2021.26.21203 en http://www.redalyc.org/revista.oa?id=6941 Nonlinear Analysis: Modelling and Control application/pdf Vilniaus Universitetas Nonlinear Analysis: Modelling and Control (Lituania) Num.2 Vol.26 |
| title | Mittag–Leffler synchronization for impulsive fractional-order bidirectional associative memory neural networks via optimal linear feedback control |
| topic | Matemáticas Mittag optimal control impulsive effect BAM neural network actuator saturation |
| url | https://www.redalyc.org/articulo.oa?id=694172869002 https://www.redalyc.org/journal/6941/694172869002/ https://www.redalyc.org/journal/6941/694172869002/html/ https://www.redalyc.org/journal/6941/694172869002/694172869002.epub https://www.redalyc.org/journal/6941/694172869002/movil https://doi.org/10.15388/namc.2021.26.21203 |