Distributed node-to-node consensus of multi-agent systems via adaptive intermittent pinning control

This paper investigates the problem of distributed node-to-node consensus of multi-agent systems with pinning links and communication constraints. The coordination goal to make each follower track the corresponding leader asymptotically where only a small fraction of followers can sense the states of their corresponding leaders on some disconnected time intervals. Based on the Lyapunov stability theory and M-matrix theory, some novel and simple criteria are derived for node-to-node consensus of multi-agent systems under the condition that only a small fraction of followers can sense their corresponding leaders. Finally, a numerical example is provided to demonstrate the effectiveness of the obtained theoretical results.