Synchronization of the Networked System With Continuous and Impulsive Hybrid Communications
Summary
This study explores synchronization in networked systems with hybrid continuous and impulsive communications. Proper selection of feedback gain and average impulsive interval ensures synchronization for fixed and switching network structures.
Area of Science:
- Control Theory
- Networked Systems
- Dynamical Systems
Background:
- Networked systems often exhibit dynamics with both continuous and impulsive communication.
- Understanding cooperation in systems with hybrid communication topologies is crucial.
Purpose of the Study:
- To investigate the synchronization of networked systems with continuous and impulsive hybrid communications.
- To analyze synchronization under fixed and switching network structures.
Main Methods:
- Introduction of a directed spanning tree (DST) concept for hybrid communication connectivity.
- Construction of Lyapunov functions to analyze synchronization stability.
- Development of criteria for asymptotic synchronization.
Main Results:
- For fixed topologies with a jointly DST, asymptotic synchronization is achieved by properly selecting feedback gain and average impulsive interval.
- Synchronization criteria are extended to switching topologies with a frequently jointly DST.
Conclusions:
- The proposed methods ensure asymptotic synchronization for networked systems with hybrid communication modes.
- The findings are applicable to both fixed and switching network structures, offering robust control strategies.
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