Cucker-Smale系统中每个个体与其相邻个体的联系对其他个体产生有限的局部影响,最终实现全部个体状态一致。该系统被广泛应用于生态网络、控制理论、通信工程、模式识别和仿生学等领域。本文根据Cucker-Smale系统的控制研究现状,介绍了...Cucker-Smale系统中每个个体与其相邻个体的联系对其他个体产生有限的局部影响,最终实现全部个体状态一致。该系统被广泛应用于生态网络、控制理论、通信工程、模式识别和仿生学等领域。本文根据Cucker-Smale系统的控制研究现状,介绍了近期取得的理论成果,包括Cucker-Smale系统渐进和牵引蜂拥、带有噪声和时滞影响下的Cucker-Smale系统蜂拥、具有leader-follow关系的Cucker-Smale系统蜂拥。进一步详细介绍了牵引蜂拥及具有leader-follow关系的Cucker-Smale系统蜂拥控制的优点,同时给出下一步需要解决的具体问题。In the Cucker-Smale system, the interaction between each individual and its neighboring individuals exerts a limited local influence on other individuals, ultimately leading to consensus among all individuals. This system has been widely applied in various fields such as ecological networks, control theory, communication engineering, pattern recognition, and bionics. In this article, based on the current status of control research on the Cucker-Smale system, we introduce recent theoretical achievements, including asymptotic and pinning swarming of the Cucker-Smale system, swarming of the Cucker-Smale system with noise and time delay effects, and swarming of the Cucker-Smale system with leader-follow relationships. Further detailed introduction was given to the advantages of pinning swarming and the crowding control of the Cucker-Smale system with the leader-follow relationship while providing specific issues to be addressed in the next step.展开更多
与单层网络相比,多层拓扑结构下网络模型可以反映不同类型的连接模式和动态过程。本文基于多层拓扑结构下网络模型的控制的现状,展示基于多层拓扑结构下网络模型的控制的最新理论成果,包括多层网络控制的优化、多层网络控制优化等方面...与单层网络相比,多层拓扑结构下网络模型可以反映不同类型的连接模式和动态过程。本文基于多层拓扑结构下网络模型的控制的现状,展示基于多层拓扑结构下网络模型的控制的最新理论成果,包括多层网络控制的优化、多层网络控制优化等方面。此外,介绍了多层网络关键节点识别方法、多层拓扑结构下网络模型的内外同步、有限固定时间同步、具有噪声干扰的网络同步。最后提出了多层网络控制领域亟待解决的关键问题,以期推动该领域的持续发展与突破。Compared with single-layer networks, network models under multi-layer topology can reflect different types of connection patterns and dynamic processes. Based on the current status of control of network models under multi-layer topology, this paper presents the latest theoretical results of control based on network models under multi-layer topology, including optimization of multi-layer network control and optimization of multi-layer network control. In addition, the identification method of key nodes in multi-layer networks, internal and external synchronization of network models under multi-layer topology, limited fixed time synchronization, and network synchronization with noise interference are introduced. Finally, the key issues that need to be solved in the field of multi-layer network control are proposed in order to promote continuous development and breakthroughs in this field.展开更多
文摘Cucker-Smale系统中每个个体与其相邻个体的联系对其他个体产生有限的局部影响,最终实现全部个体状态一致。该系统被广泛应用于生态网络、控制理论、通信工程、模式识别和仿生学等领域。本文根据Cucker-Smale系统的控制研究现状,介绍了近期取得的理论成果,包括Cucker-Smale系统渐进和牵引蜂拥、带有噪声和时滞影响下的Cucker-Smale系统蜂拥、具有leader-follow关系的Cucker-Smale系统蜂拥。进一步详细介绍了牵引蜂拥及具有leader-follow关系的Cucker-Smale系统蜂拥控制的优点,同时给出下一步需要解决的具体问题。In the Cucker-Smale system, the interaction between each individual and its neighboring individuals exerts a limited local influence on other individuals, ultimately leading to consensus among all individuals. This system has been widely applied in various fields such as ecological networks, control theory, communication engineering, pattern recognition, and bionics. In this article, based on the current status of control research on the Cucker-Smale system, we introduce recent theoretical achievements, including asymptotic and pinning swarming of the Cucker-Smale system, swarming of the Cucker-Smale system with noise and time delay effects, and swarming of the Cucker-Smale system with leader-follow relationships. Further detailed introduction was given to the advantages of pinning swarming and the crowding control of the Cucker-Smale system with the leader-follow relationship while providing specific issues to be addressed in the next step.
文摘与单层网络相比,多层拓扑结构下网络模型可以反映不同类型的连接模式和动态过程。本文基于多层拓扑结构下网络模型的控制的现状,展示基于多层拓扑结构下网络模型的控制的最新理论成果,包括多层网络控制的优化、多层网络控制优化等方面。此外,介绍了多层网络关键节点识别方法、多层拓扑结构下网络模型的内外同步、有限固定时间同步、具有噪声干扰的网络同步。最后提出了多层网络控制领域亟待解决的关键问题,以期推动该领域的持续发展与突破。Compared with single-layer networks, network models under multi-layer topology can reflect different types of connection patterns and dynamic processes. Based on the current status of control of network models under multi-layer topology, this paper presents the latest theoretical results of control based on network models under multi-layer topology, including optimization of multi-layer network control and optimization of multi-layer network control. In addition, the identification method of key nodes in multi-layer networks, internal and external synchronization of network models under multi-layer topology, limited fixed time synchronization, and network synchronization with noise interference are introduced. Finally, the key issues that need to be solved in the field of multi-layer network control are proposed in order to promote continuous development and breakthroughs in this field.
