Compensator-based periodically intermittent control for nonlinear second-order multi-agent systems

This article studies leader-following bipartite consensus control of a class of nonlinear second-order multi-agent systems. A new compensator-based periodically intermittent control algorithm is proposed for the second-order multi-agent systems. The compensator can be implemented in a fully distributed way. In other words, in order to construct the compensator for a certain agents, the values of measurement output of each agent and its neighbor agents are monitored for the construction of compensator. Considering the limited bandwidth of communication networks, the state variable of compensator is used by the controller for each follower to construct a novel periodically intermittent control algorithm, which can effectively reduce the communication frequency among agents in the control process. By combing stability theory and algebra graph theory, the criteria are obtained for the achievement of global exponential bipartite consensus under a fixed directed topology. Finally, some numerical examples are provided to illustrate the performance of the proposed control algorithm.

Exponential Synchronization of Inertial Cohen–Grossberg Neural Networks with Time-Varying Delays via Periodically Intermittent Control

This paper deals with the exponential synchronization problem of inertial Cohen–Grossberg neural networks with time-varying delays under periodically intermittent control. In light of Lyapunov–Krasovskii functional method and inequality techniques, some sufficient conditions are attained to ensure the exponential synchronization of the master-slave system on the basis of p-norm. Meanwhile, the periodically intermittent control schemes are designed. Finally, in order to verify the effectiveness of theoretical results, some numerical simulations are provided.