一类具有多种耦合时滞的复杂动态网络的牵制同步

针对一类由Lur'e系统组成的具有多种耦合时滞的加权复杂动态网络,研究其同步问题.只对网络中的一部分节点进行控制,从而使整个被控网络达到同步.基于绝对稳定性理论.得到了保证复杂网络实现全局同步的时滞独立判据.仿真中以蔡氏振荡器组成的复杂网络为例,验证了所提方法的有效性,且表明在某些特殊情况下,只需控制一个节点便可使整个网络达到同步.

Pinning synchronization for a class of complex dynamical networks with heterogeneous delays

A class of weighted complex dynamical network model with heterogeneous delays is introduced, where each
node is a general Lur’e system. Then its synchronization phenomena is investigated by applying feedback injections to a
small fraction of nodes in the whole network. Based on the absolute stability theory, a delay-independent criterion ensuring
the global synchronization of the whole network is derived. A dynamical network composed of identical Chua’s oscillators
is adopted as a numerical example to demonstrate the effectiveness of the proposed results. It is also shown that in some
particular cases, only a single controller can achieve the control objective.