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Bipartite synchronization of Lur'e network with signed graphs based on intermittent control
Jinyue Yang1, Junjian Huang1, Xing He1
1Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing, College of Electronic and Information Engineering, Southwest University, Chongqing 400715, China.
ISA Transactions
|April 10, 2023
Summary
This study explores bipartite synchronization in signed Lur
Area of Science:
- Control Theory
- Network Science
- Systems Engineering
Background:
- Signed networks exhibit complex interactions, with cooperative or competitive relationships between nodes.
- Intermittent control strategies are crucial for managing large-scale dynamic systems efficiently.
- Lur'e systems are a fundamental class of nonlinear systems with wide applications.
Purpose of the Study:
- To investigate the conditions for achieving bipartite synchronization in signed Lur'e networks under intermittent control.
- To develop a theoretical framework for analyzing the stability and synchronization of such networks.
- To validate the proposed theoretical analysis through numerical simulations.
Main Methods:
- Utilizing Lyapunov stability theory to establish crucial norm conditions.
- Applying coordinate transformation criteria to analyze network structure.
- Developing a mathematical model for signed Lur'e networks with intermittent control.
Main Results:
- Demonstrated that bipartite synchronization can be achieved in structurally balanced signed Lur'e networks.
- Established necessary and sufficient conditions for synchronization based on network properties and control parameters.
- Identified key norms that govern the synchronization process.
Conclusions:
- The theoretical analysis provides a robust method for achieving bipartite synchronization in signed Lur'e networks.
- Intermittent control is an effective strategy for managing complex network dynamics.
- Simulation results confirm the validity and efficacy of the proposed synchronization approach.
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