Asymptotical tracking control for the complex network based on the dynamic topology

Area of Science:

• Control Systems Engineering
• Network Science
• Systems Theory

Background:

• Complex dynamic networks (CDNs) are increasingly prevalent in various fields.
• Effective control strategies are needed for optimizing CDN performance and management.
• Existing methods may not adequately address the coupled dynamics of nodes and links.

Purpose of the Study:

• To propose a novel tracking control scheme for complex dynamic networks.
• To enable asymptotic tracking of reference targets for both network nodes and links.
• To provide a control strategy applicable to communication transmission networks (CTNs).

Main Methods:

• The CDN is modeled as a composite system with two mutually coupled subsystems: nodes and links.
• Link weights are treated as state variables within the link subsystem.
• The control scheme comprises a designed controller for nodes and a synthesized coupling term for links.

Main Results:

• The proposed control scheme guarantees asymptotic tracking for both the node and link subsystems.
• The controller effectively manages the coupled dynamics of the network.
• Simulation results demonstrate the scheme's effectiveness compared to existing approaches.

Conclusions:

• The developed tracking control scheme is effective for complex dynamic networks.
• This approach offers a viable solution for network optimization management in CTNs.
• The method ensures that network components achieve desired target states.