Second-order consensus seeking in directed networks of multi-agent dynamical systems via generalized linear local interaction protocols
Second-order consensus seeking in directed networks of multi-agent dynamical systems via generalized linear local interaction protocols
复制标题
通过广义线性局部交互协议在多智能体动力系统有向网络中寻求二阶共识
DOI：
10.1007/s11071-012-0611-z
复制
发表时间：
2012-09
期刊：
影响因子：
--
通讯作者：
廖晓峰
中科院分区：
文献类型：
--
作者：
廖晓峰
This paper focuses on the analytical study of final consensus convergence state of multi-agent dynamical systems by using a kind of generalized linear local interaction protocols. All the agents in the fixed directed network topology are governed by double-integrator dynamics. Almost all the existing linear local interaction consensus protocols can be considered as special cases of the present paper. By combining the algebraic graph theory and the matrix theory, some necessary and sufficient conditions are derived for reaching the second-order consensus. Moreover, the finial consensus convergence states of all agents are also be analytically determined. According to the obtained results, it is found that both the linear gains and the eigenvalues of the Laplacian matrix associated with the directed network topology play key roles in reaching consensus. Finally, the effectiveness and correctness of our theoretical findings are demonstrated by some numerical examples.
