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Dynamic event-triggered synchronization control for neutral-type SMJ neural networks with additive delays under
Zou Yang1, Jun Wang1, Kaibo Shi2
1College of Electrical and Information Engineering, Southwest Minzu University, Chengdu, 610041, P.R. China.
This study introduces double dynamic event-triggered mechanisms for synchronizing semi-Markovian jump neural networks under attacks. This approach conserves resources and reduces computational load for enhanced network performance.
Area of Science:
- Control Theory
- Networked Systems
- Computational Neuroscience
Background:
- Neural networks are crucial for complex computations but vulnerable to attacks.
- Event-triggered mechanisms (ETMs) aim to reduce communication and computational load.
- Semi-Markovian jump (SMJ) systems introduce complex dynamics with state-dependent transition probabilities.
Purpose of the Study:
- To develop a double dynamic event-triggered synchronization (DDETM) strategy for neutral-type SMJ neural networks.
- To model and mitigate the impact of synchronous attacks on network synchronization.
- To reduce the conservatism of synchronization criteria through advanced mathematical techniques.
Main Methods:
- Modeling synchronous attacks using an independent semi-Markovian jump process.
- Designing double dynamic event-triggered mechanisms (DDETMs) for communication and computation efficiency.
- Incorporating additive time-varying delays (TVDs) to model network uncertainties.
- Developing a semi-Markov dynamic event-triggered controller.
- Utilizing asymmetric Lyapunov-Krasovskii functions (LKFs) and reciprocally convex inequality (RCCI) to reduce conservatism.
Main Results:
- The proposed DDETMs effectively conserve communication resources and reduce computational burden.
- The designed controller ensures the synchronization of neutral-type SMJ neural networks under synchronous attacks.
- The use of asymmetric LKFs and RCCI significantly reduces the conservatism of the synchronization criterion.
- Simulation results validate the effectiveness of the proposed synchronization method.
Conclusions:
- The developed event-triggered synchronization strategy is effective for neutral-type SMJ neural networks under synchronous attacks.
- The proposed method offers a practical approach to enhance the robustness and efficiency of networked neural systems.
- This research contributes to the advancement of secure and efficient control strategies for complex dynamical systems.
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