Li Xiaoxiao, Wang Yinhe, Li Shengping
School of Automation, Guangdong University of Technology, Guangzhou 510006, China.
MOE Key Laboratory of Intelligent Manufacturing, Shantou University, Shantou 515063, China.
Entropy (Basel). 2023 Jan 5;25(1):115. doi: 10.3390/e25010115.
This paper formulates and solves a new problem of the double model following adaptive control (MFAC) of nodes and links in a complex dynamical network (CDN). This is different from most existing studies on CDN and MFAC. Inspired by the concept of composite systems, the CDN with dynamic links is regarded as an interconnected system composed of an interconnected node group (NG) and link group (LG). Guided by the above-mentioned new idea of viewing a CDN from the perspective of composite systems, by means of Lyapunov theory and proposed related mathematical preliminaries, a new adaptive control scheme is proposed for NG. In addition, to remove the restriction that the states of links in a CDN are unavailable due to physical constraints, technical restraints, and expensive measurement costs, we synthesize the coupling term in LG with the proposed adaptive control scheme for NG, such that the problem of double MFAC of nodes and links in CDN is solved. Finally, a simulation example is presented to verify the theoretical results.
本文提出并解决了复杂动态网络（CDN）中节点和链路的双模型跟随自适应控制（MFAC）这一新问题。这与大多数现有的关于CDN和MFAC的研究不同。受复合系统概念的启发，具有动态链路的CDN被视为由相互连接的节点组（NG）和链路组（LG）组成的互联系统。在上述从复合系统角度看待CDN的新思路的指导下，借助李雅普诺夫理论并提出相关数学预备知识，为NG提出了一种新的自适应控制方案。此外，为消除由于物理约束、技术限制和昂贵的测量成本导致CDN中链路状态不可用的限制，我们将LG中的耦合项与为NG提出的自适应控制方案相结合，从而解决了CDN中节点和链路的双MFAC问题。最后，给出了一个仿真示例以验证理论结果。
