Synchronization for Markovian master-slave neural networks: an event-triggered impulsive approach

This paper investigates synchronisation for Markovian master-slave neural networks (NNs), where the transition probabilities of Markov chain are partially unknown and uncertain. To cope with the communication channel bandwidth constraint, an event-triggered impulsive transmission strategy is adopted...

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Bibliographic Details
Published in:International journal of systems science 2023-09, Vol.54 (12), p.2551-2565
Main Authors: Zhou, Yumei, Guo, Yuru, Liu, Chang, Peng, Hui, Rao, Hongxia
Format: Article
Language:English
Subjects:
Control systems design
Controllers
event-triggered impulsive control
Markov chain
Markov chains
Neural networks
Synchronism
Synchronization
Transition probabilities
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Summary:This paper investigates synchronisation for Markovian master-slave neural networks (NNs), where the transition probabilities of Markov chain are partially unknown and uncertain. To cope with the communication channel bandwidth constraint, an event-triggered impulsive transmission strategy is adopted, a corresponding impulsive controller is then designed. In this method, information transmission occurs only at some discontinous instants, which are determined by a state-dependent event-triggered condition as well as a predesigned forced impulse interval. Synchronization for Markovian master-slave NNs is guaranteed by a sufficient condition, and the controller gains are designed by using the obtained results. A numerical simulation is given to show the effectiveness of the presented method.
ISSN:0020-7721
1464-5319
DOI:10.1080/00207721.2022.2122904