Distributed optimal control and L2 gain performance for the multi-agent system with impulsive effects

In this paper, we investigate the distributed optimal control and L2 gain performance for the multi-agent system with impulsive effects. First, we obtain sufficient conditions to ensure that the distributed protocols can minimize the desired performance index with state-control cross weighting terms. Second, we propose and solve the bounded L2 gain synchronization problem for the impulsive system with hybrid disturbance inputs. Finally, an example is presented to illustrate the efficiency of the obtained results.