Abstract
This paper investigates the leader‐following consensus of nonlinear singular multiagent systems with intermittent communication on a fixed undirected topology. Unlike the existing works on singular multiagent systems that the communication among agents is continuous, in this work, agents can only communicate with their neighbors on some disconnected time intervals. Based on algebraic graph theory, singular system theory and multi‐Lyapunov function approach, the cooperative intermittent control protocol and sufficient conditions are proposed to guarantee the existence and uniqueness of solutions and leader‐following consensus of the systems. Furthermore, a description of state jumps at the instants of communication interrupt and restoration is presented. Finally, numerical examples are provided to illustrate the effectiveness of the theoretical analysis.
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