Consensus of Nonlinear Complex Systems with Edge Betweenness Centrality Measure under Time-Varying Sampled-Data
M J Park1, O M Kwon1, E J Cha2
1School of Electrical Engineering, Chungbuk National University, 52 Naesudong-ro, Cheongju 361-763, Republic of Korea.
Thescientificworldjournal
|July 14, 2015
Summary
This study introduces a novel consensus criterion for nonlinear complex systems using edge betweenness centrality. The method employs Lyapunov-Krasovskii functionals and linear matrix inequalities for efficient computation and validation.
Area of Science:
- Control Systems Engineering
- Network Science
- Nonlinear Dynamics
Background:
- Complex systems often exhibit emergent behaviors requiring coordinated control.
- Achieving consensus in nonlinear systems is challenging due to their inherent dynamics.
- Network topology significantly influences system-wide coordination.
Purpose of the Study:
- To develop a new, mathematically rigorous consensus criterion for nonlinear complex systems.
- To incorporate the edge betweenness centrality measure into the consensus protocol.
- To provide a computationally tractable method for designing consensus controllers.
Main Methods:
- Construction of a Lyapunov-Krasovskii functional tailored for nonlinear systems.
- Formulation of the consensus condition using linear matrix inequalities (LMIs).
- Utilizing edge betweenness centrality to analyze network structure and influence.
Main Results:
- A novel consensus criterion for nonlinear complex systems is established.
- The criterion is expressed in terms of LMIs, ensuring computational feasibility.
- The effectiveness of the proposed method is demonstrated through a numerical example.
Conclusions:
- The proposed consensus criterion is effective for nonlinear complex systems.
- LMIs provide an efficient framework for solving the consensus problem.
- Edge betweenness centrality offers valuable insights into network-based consensus.
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