Stabilisation of Mckean–Vlasov stochastic differential equations by aperiodically intermittent control

This paper mainly studies the mean-square exponential stabilisation for McKean–Vlasov stochastic differential equations (MVSDEs, in short) by aperiodically intermittent control, which includes periodically intermittent control as a special case. Sufficient conditions are given to make the unstable MVSDEs be exponentially stable. As an application, the stabilisation criterions for the mean-field Cohen-Grossberg neural network model via aperiodically intermittent control are established.

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Publication Details

Journal
International Journal of Control
Published
2024-08-26
DOI
https://doi.org/10.1080/00207179.2024.2395330
Primary Topic
Neural Networks Stability and Synchronization
Type
article
Field-Weighted Citation Impact
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article

Stabilisation of Mckean–Vlasov stochastic differential equations by aperiodically intermittent control

Yong Ren, Ying Chen
International Journal of Control
Neural Networks Stability and Synchronization
article

Stabilisation of Mckean–Vlasov stochastic differential equations by aperiodically intermittent control

Yong Ren, Ying Chen
article en

Abstract

This paper mainly studies the mean-square exponential stabilisation for McKean–Vlasov stochastic differential equations (MVSDEs, in short) by aperiodically intermittent control, which includes periodically intermittent control as a special case. Sufficient conditions are given to make the unstable MVSDEs be exponentially stable. As an application, the stabilisation criterions for the mean-field Cohen-Grossberg neural network model via aperiodically intermittent control are established.

International Journal of Control
Anhui Normal University (CN)
Openalex Percentile: Top 85%
Neural Networks Stability and Synchronization
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