摘要
针对存在时滞的多智能体系统,提出了基于一类连续非线性函数的有限时间一致性算法.利用Lyapunov有限时间稳定性理论和矩阵理论,给出了这类算法使得系统能够在有限时间内达到一致的充分条件,进而给出了一个满足条件的有限时间一致性算法,并对该算法的收敛性进行分析,得到了系统的收敛时间.数值仿真验证了所提出算法的有效性.
Finite-time consensus algorithm for multi-agent systems with communication delays is proposed.Based on the theory of finite-time Lyapunov stability and matrix theory,the sufficient conditions which guarantee the multi-agent systems to reach a consensus in finite time are obtained.Moreover,a finite-time consensus protocol is given by appplying the sufficient conditions,the convergence of the system is analyzed,and the settling time for the system to reach a consensus is given.Simulation results show the effectiveness of the proposed algorithm.
出处
《控制与决策》
EI
CSCD
北大核心
2011年第7期1101-1104,共4页
Control and Decision
基金
国家自然科学基金项目(60874053
60574088)