Scaled consensus problems of multi agent systems via impulsive protocols

Abstract

This paper studies scaled consensus problems of multi-agent systems under fixed and switched topologies. Firstly, the scaled consensus protocols are designed for solving consensus problems of multi-agent systems under fixed topologies. Secondly, the scaled consensus problems of multi-agent systems under switching topologies are considered. Thirdly, scaled consensus of multi-agent systems with external perturbations is investigated via impulsive mechanism. Using matrix theory, graph theory and Lyapunov algorithm, we can show that under appropriate conditions the scaled consensus problems can be solved. Moreover, our results show that the boundedness of the sampling period depending on scalar scales and degree of networks has strong impact for achieving scaled consensus of the systems. Some numerical examples are provided to illustrate the effectiveness of the theoretical results.