Distributed Impulsive Consensus of Nonlinear Multi-agent Systems via Matrix Measure Protocol

The brief is devoted to researching the globally exponential consensus issue for nonlinear multi-agent systems with time-varying delay. A novel distributed impulsive controller with distributed delay is proposed to force the states of all agents to the target trajectories. By employing the concept of the matrix measure method, the comparison principle for impulsive systems, the average impulsive interval concept and the Lyapunov stability theorem, sufficient criteria for the exponential consensus of multi-agent systems are obtained. Finally, a numerical example is given to prove the rightness of the theoretical analysis.