Group consensus of continuous-time second-order multi-agent systems via asynchronous sampled-data control

This paper investigates the group consensus problem of continuous-time second-order multi-agent systems (MASs) with asynchronous sampling, where each agent has its own clocks that are not affected by the others’. The asynchronous sampled-data based protocol is designed by using the neighbors’ state information with uncertain time-varying sampling intervals. In continuous-time second-order MASs, the asynchronous group consensus problem can be equivalently transformed into a stability problem of synchronous discrete-time second-order MASs by using appropriate model transformations. With the help of the nonnegative matrix theory and graph theory, the stability is analyzed and a pretty graphic sufficient condition is established. Besides, a simulation example is given to demonstrate the proposed result.