基于观测器的复杂网络辨识新方法研究

A New State-Observer-Based Approach to the Identification of Complex Dynamical Networks

充分考虑复杂网络中只有部分状态变量可测量的特点,提出了辨识复杂网络拓扑结构的新方法.针对复杂网络中存在部分不可测状态变量的问题,在系统具有多输出的情况下,提出了一种利用降维观测器辨识网络拓扑的方法;进一步实现了仅利用输出变量就能辨识网络拓扑.根据Lyapunov稳定性理论,推导出了设计观测器的条件和拓扑辨识方法.与现有基于观测器的复杂网络辨识方法相比,该方法更加简单实用.最后利用该方法对复杂网络的拓扑结构进行辨识仿真,效果良好.

A new method is proposed to identify complex dynamical networks, in which only some state viariables can be measured. For multioutput systems where not all state variables are measurable, a reduced-order observer is designed. The approach based solely on output variables to identify networks is further realized in this paper. A few conditions serving the observer are specified,derived from the Lyapunov Stability Theorem. The proposed method for designing observers is more convenient and practical than traditional ones. Its effectiveness is demonstrated by the simulation of a complex network given in the paper.