Distributed Control Problem for First-Order Directed Signed Networks Based on Quantized Information

This paper investigates the bipartite consensus problems of discrete-time signed networks based on quantized communication. A distributed control framework is built by leveraging the quantized positional data, in which the convergence conditions can be developed. It is shown that the bipartite consensus can be achieved for structurally balanced signed networks when employing appropriately designed control gains and quantization parameters, while structurally unbalanced configurations guarantee state stabilization. The simulation example is given to demonstrate the effectiveness of the derived results.