Quantized consensus criterion for discrete-time multi-agent systems with communication delay

This paper proposes a new consensus criterion for discrete-time multi-agent systems with communication-delay and quantization. The interconnection information through the sensor of each agent are measuring to be the quantized by a logarithmic quantizer, and its quantization error is included in the proposed method. By constructing a suitable Lyapunov-Krasovskii functional and utilizing reciprocally convex approach, a new consensus criterion for the concerned systems is established in terms of linear matrix inequalities (LMIs) which can be easily solved by various effective optimization algorithms. One numerical example is given to illustrate the effectiveness of the proposed method.