Meng Deyuan, Wu Yuxin, Cai Kaiquan
IEEE Trans Cybern. 2022 Jan;52(1):301-311. doi: 10.1109/TCYB.2020.2973306. Epub 2022 Jan 11.
Signed networks admitting antagonistic interactions among agents may polarize, cluster, or fluctuate in the presence of time-varying communication topologies. Whether and how signed networks can be stabilized regardless of their sign patterns is one of the fundamental problems in the network system control areas. To address this problem, this paper targets at presenting a self-appraisal mechanism in the protocol of each agent, for which a notion of diagonal dominance degree is proposed to represent the dominant role of agent's self-appraisal over external impacts from all other agents. Selection conditions on diagonal dominance degrees are explored such that signed networks in the presence of directed time-varying topologies can be ensured to achieve the uniform asymptotic stability despite any sign patterns. Further, the established stability results can be applied to achieve bipartite consensus tracking of time-varying signed networks and realize state-feedback stabilization of time-varying systems. Simulations are implemented to verify our uniform asymptotic stability results for directed time-varying signed networks.
在存在时变通信拓扑结构的情况下，允许智能体之间存在对抗性相互作用的带符号网络可能会极化、聚类或波动。无论其符号模式如何，带符号网络能否以及如何实现稳定是网络系统控制领域的基本问题之一。为了解决这个问题，本文旨在在每个智能体的协议中提出一种自我评估机制，为此提出了对角优势度的概念，以表示智能体自我评估相对于所有其他智能体外部影响的主导作用。探讨了对角优势度的选择条件，以确保在存在有向时变拓扑结构的情况下，带符号网络无论任何符号模式都能实现一致渐近稳定。此外，所建立的稳定性结果可用于实现时变带符号网络的二分共识跟踪，并实现时变系统的状态反馈稳定。进行了仿真以验证我们关于有向时变带符号网络的一致渐近稳定性结果。
