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Bumpless Transfer Control for Synchronization of Switched Neutral‐Type Neural Networks With a Reachable Set Strategy

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Title: Bumpless Transfer Control for Synchronization of Switched Neutral‐Type Neural Networks With a Reachable Set Strategy
Authors: Li, Fang, Sang, Hong, Wang, Peng, Zhao, Ying, Ma, Yajing, Dimirovski, Georgi M.
Contributors: National Natural Science Foundation of China, China Postdoctoral Science Foundation, Natural Science Foundation of Liaoning Province
Source: International Journal of Robust and Nonlinear Control ; volume 35, issue 6, page 2310-2323 ; ISSN 1049-8923 1099-1239
Publisher Information: Wiley
Publication Year: 2025
Collection: Wiley Online Library (Open Access Articles via Crossref)
Description: This investigation primarily centers on the reachable‐set‐based bumpless transfer control (BTC) for the synchronization of switched neutral‐type neural networks (SNNNs). In order to mitigate the conservatism inherent in the traditional state‐dependent switching strategies (SDSSs) and combined switching strategies (CSSs), an improved CSS leveraging the historical information of neuron states and neutral delay is developed. By constructing a time‐dependent multiple Lyapunov‐Krasovskii functional (TDMLF) technique, a less conservative criterion for reachable set estimation (RSE) is first established. In the subsequent, the established design framework is further employed by the BTC for the synchronization of SNNNs. The corresponding synchronization criterion is derived, which ensures that the resultant synchronization error influenced by bounded external inputs can be confined to an anticipated bounded set. Also, the underlying control bumps at switching instants during switching instants are effectively constrained to a specific level. Ultimately, the practicability and superiority of the proposed design framework are confirmed via two simulation examples.
Document Type: article in journal/newspaper
Language: English
DOI: 10.1002/rnc.7802
Availability: https://doi.org/10.1002/rnc.7802
https://onlinelibrary.wiley.com/doi/pdf/10.1002/rnc.7802
Rights: http://onlinelibrary.wiley.com/termsAndConditions#vor
Accession Number: edsbas.DBD372BC
Database: BASE
Description
Abstract:This investigation primarily centers on the reachable‐set‐based bumpless transfer control (BTC) for the synchronization of switched neutral‐type neural networks (SNNNs). In order to mitigate the conservatism inherent in the traditional state‐dependent switching strategies (SDSSs) and combined switching strategies (CSSs), an improved CSS leveraging the historical information of neuron states and neutral delay is developed. By constructing a time‐dependent multiple Lyapunov‐Krasovskii functional (TDMLF) technique, a less conservative criterion for reachable set estimation (RSE) is first established. In the subsequent, the established design framework is further employed by the BTC for the synchronization of SNNNs. The corresponding synchronization criterion is derived, which ensures that the resultant synchronization error influenced by bounded external inputs can be confined to an anticipated bounded set. Also, the underlying control bumps at switching instants during switching instants are effectively constrained to a specific level. Ultimately, the practicability and superiority of the proposed design framework are confirmed via two simulation examples.
DOI:10.1002/rnc.7802