This paper is concerned with the consensus tracking problem for heterogeneous interdependent group systems with fixed communication topologies. First, the interdependent model of the heterogeneous system is built from the perspective of the difference of the individual characteristic and the difference of the subgroup topology structure. A class of distributed consensus tracking control protocol is proposed for realizing the consensus tracking of the heterogeneous interdependent group system via using local information. Then, for fixed communication topologies, some corresponding sufficient conditions are given to ensure the achievement of the consensus tracking. Two parameters are defined, which denote, respectively, the proportion of interdependence individual and the redundancy of interdependence. The effects of these parameters are analyzed on the consensus tracking of group systems. Numerical simulations are provided to illustrate the effectiveness of the theoretical analysis.

中文翻译：

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异构相互依赖的群体系统的共识跟踪


本文关注具有固定通信拓扑的异构相互依赖组系统的共识跟踪问题。首先，从个体特征差异性和子群拓扑结构差异性的角度出发，建立异构系统的相互依存模型。提出一类分布式共识跟踪控制协议，利用本地信息实现异构相互依存的群体系统的共识跟踪。然后，对于固定的通信拓扑，给出了一些相应的充分条件来保证共识跟踪的实现。定义了两个参数，分别表示相互依赖个体的比例和相互依赖的冗余度。分析这些参数对群体系统共识跟踪的影响。提供数值模拟来说明理论分析的有效性。