Asymptotical Stability and Exponential Stability in Mean Square of Impulsive Stochastic Time-Varying Neural Network
The effect of impulse on stability of neural network is evident not only in performance, that is, impulsive control and impulsive interference. The amount of impulse has a certain impact on stability of neural network. Unlike traditional average impulsive interval, a new strategy is applied in this...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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IEEE
2023-01-01
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| Series: | IEEE Access |
| Subjects: | |
| Online Access: | https://ieeexplore.ieee.org/document/10105238/ |
| _version_ | 1797839185695997952 |
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| author | Yueli Huang Ailong Wu |
| author_facet | Yueli Huang Ailong Wu |
| author_sort | Yueli Huang |
| collection | DOAJ |
| description | The effect of impulse on stability of neural network is evident not only in performance, that is, impulsive control and impulsive interference. The amount of impulse has a certain impact on stability of neural network. Unlike traditional average impulsive interval, a new strategy is applied in this paper, namely, impulsive density. Based on this strategy, by constructing Lyapunov function, we establish sufficient conditions for mean square asymptotical stability of impulsive stochastic time-varying neural network without time delay. As well as, under this strategy and uniformly asymptotically stable function, by combining trajectory based approach and improved Razumikhin method, mean square exponential stability criterion of impulsive stochastic time-varying neural network with time delay is established. Finally, to demonstrate the viability of our theoretical findings, some instances are provided. |
| first_indexed | 2024-04-09T15:54:00Z |
| format | Article |
| id | doaj.art-6430556dfaf347eeb68f0df96fd221a5 |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-04-09T15:54:00Z |
| publishDate | 2023-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-6430556dfaf347eeb68f0df96fd221a52023-04-25T23:00:31ZengIEEEIEEE Access2169-35362023-01-0111393943940410.1109/ACCESS.2023.326864510105238Asymptotical Stability and Exponential Stability in Mean Square of Impulsive Stochastic Time-Varying Neural NetworkYueli Huang0https://orcid.org/0009-0009-6123-1308Ailong Wu1https://orcid.org/0000-0002-8383-5155School of Mathematics and Statistics, Hubei Normal University, Huangshi, ChinaSchool of Mathematics and Statistics, Hubei Normal University, Huangshi, ChinaThe effect of impulse on stability of neural network is evident not only in performance, that is, impulsive control and impulsive interference. The amount of impulse has a certain impact on stability of neural network. Unlike traditional average impulsive interval, a new strategy is applied in this paper, namely, impulsive density. Based on this strategy, by constructing Lyapunov function, we establish sufficient conditions for mean square asymptotical stability of impulsive stochastic time-varying neural network without time delay. As well as, under this strategy and uniformly asymptotically stable function, by combining trajectory based approach and improved Razumikhin method, mean square exponential stability criterion of impulsive stochastic time-varying neural network with time delay is established. Finally, to demonstrate the viability of our theoretical findings, some instances are provided.https://ieeexplore.ieee.org/document/10105238/Impulsive stochastic neural networkimpulsive densityasymptotical stabilityexponential stability |
| spellingShingle | Yueli Huang Ailong Wu Asymptotical Stability and Exponential Stability in Mean Square of Impulsive Stochastic Time-Varying Neural Network IEEE Access Impulsive stochastic neural network impulsive density asymptotical stability exponential stability |
| title | Asymptotical Stability and Exponential Stability in Mean Square of Impulsive Stochastic Time-Varying Neural Network |
| title_full | Asymptotical Stability and Exponential Stability in Mean Square of Impulsive Stochastic Time-Varying Neural Network |
| title_fullStr | Asymptotical Stability and Exponential Stability in Mean Square of Impulsive Stochastic Time-Varying Neural Network |
| title_full_unstemmed | Asymptotical Stability and Exponential Stability in Mean Square of Impulsive Stochastic Time-Varying Neural Network |
| title_short | Asymptotical Stability and Exponential Stability in Mean Square of Impulsive Stochastic Time-Varying Neural Network |
| title_sort | asymptotical stability and exponential stability in mean square of impulsive stochastic time varying neural network |
| topic | Impulsive stochastic neural network impulsive density asymptotical stability exponential stability |
| url | https://ieeexplore.ieee.org/document/10105238/ |
| work_keys_str_mv | AT yuelihuang asymptoticalstabilityandexponentialstabilityinmeansquareofimpulsivestochastictimevaryingneuralnetwork AT ailongwu asymptoticalstabilityandexponentialstabilityinmeansquareofimpulsivestochastictimevaryingneuralnetwork |