摘要
通过设计简单的控制器,利用随机微分方程的有限时间稳定性理论,给出了多智能体网络实现随机一致性的充分条件,并分析了控制参数与噪声强度对网络收敛速度与收敛时间的影响。数值模拟验证了理论结果的正确性。
By using the finite-time stability theory of stochastic differential equations and adding a simple protocol, it was proved that the leader-following multi-agent network can reach the consensus in finite time with probability one. The effects of control parameters and noise strength on the convergence speed and time were also analyzed. Further- more, numerical examples were provided to illustrate the effectiveness of the theoretical results.
出处
《山东大学学报(理学版)》
CAS
CSCD
北大核心
2014年第1期65-70,79,共7页
Journal of Shandong University(Natural Science)
基金
国家自然科学基金资助项目(11226150
61203304)
中央高校基本科研业务费专项资金资助项目(2011QNA26
2013XK03)
国家级大学生创新训练计划资助项目(201210290089)