复杂网络输出同步

状态同步是复杂网络中一个重要的研究方向.然而,现实系统的状态经常是观测不到的,有时仅一部分状态能达到同步就能满足需要,无需所有的状态同步.因此,提出带有输出的复杂网络的新模型,此模型是原复杂网络模型的扩展,然后根据输出矩阵为奇异和非奇异矩阵的两种情况进行研究,给出了输出达到同步的几个充分条件,研究了状态不同步输出同步的稳定性条件.并举例说明在不满足状态同步的情况下,可实现输出同步.研究结果表明,复杂网络输出同步是非常有意义的.

Output Synchronization of Complex Network

State synchronization is an important direction in the complex network field.However,the actual state of system is often unable to observe,and sometimes only part but not all of states is needed to make the synchronization to come true.Therefore,a new complex network model with output available is proposed as an extension of original complex network model.Then,according to the output matrix which is either singular or nonsingular,the stability of the output synchronization of complex network is analyzed and some sufficient conditions are given to it in form of lemma.Furthermore,the conditions for stability in case the output is synchronous but the state is asynchronous are studied,and an example is given to illustrate that the output synchronization is available even if the conditions for state synchronization is unsatisfied.The results reveal the significance of output synchronization in complex network systems.