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Abstract
In this article, we consider average consensus problem in directed delayed networked multi-agent systems having impulsive effects with fixed topology and stochastic switching topology. A simple impulsive consensus protocol for such networks is proposed, and some generic criteria for solving the average consensus problem are analytically derived. It is shown that a directed delayed networked multi-agent system can achieve average consensus globally exponentially with suitable impulsive gain and impulsive interval. Subsequently, two typical illustrative examples, along with computer simulation results, are provided to visualise the effectiveness and feasibility of our theoretical results.
Acknowledgements
This work was supported by the National Science Foundation of China (Grant Nos. 10672094, 10972129 and 10832006), the Specialised Research Foundation for the Doctoral Program of Higher Education (Grant No. 200802800015), the Innovation Program of Shanghai Municipal Education Commission (Grant No. 10ZZ61), the Shanghai Leading Academic Discipline Project (Project No. S30106), and Shanghai University Graduate Innovation Funds (Grant No. SHUCX091053). The authors sincerely thank the anonymous reviewers for their valuable comments that have led to the present improved version of the original manuscript.