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Pinning Synchronization for Stochastic Complex Networks With Randomly Occurring Nonlinearities: Tackling Bit Rate
This study addresses bounded synchronization in discrete-time stochastic complex networks using pinning control. An optimization algorithm balances bit rate allocation and controller gains for effective synchronization.
Area of Science:
- Control Systems Engineering
- Network Science
- Stochastic Systems
Background:
- Complex networks are crucial in various fields, but achieving synchronization under realistic constraints like limited communication is challenging.
- Stochasticity and nonlinearities in discrete-time systems introduce complexities in control design.
- Pinning control offers a strategy to synchronize large networks by controlling a few nodes.
Purpose of the Study:
- To investigate the ultimately bounded synchronization problem for discrete-time stochastic complex networks.
- To develop a pinning control strategy considering bit rate constraints in wireless communication.
- To analyze the impact of randomly occurring nonlinearities on network synchronization.
Main Methods:
- A pinning control strategy is designed using information from partially selected nodes.
- A coding-decoding transmission mechanism is introduced to model digital communication under bit rate constraints.
- Stochastic analysis methods are employed to derive conditions for mean-square boundedness of the synchronization error.
Main Results:
- A sufficient condition for the mean-square boundedness of the synchronization error system is derived.
- An optimization algorithm is presented for joint bit rate allocation and controller gain design.
- The correlation between synchronization performance and bit rate allocation is analyzed.
Conclusions:
- The proposed pinning control approach effectively achieves ultimately bounded synchronization in discrete-time stochastic complex networks.
- The developed methodology provides a framework for designing controllers under communication constraints.
- Simulation results validate the efficacy of the pinning control strategy and the optimization algorithm.
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