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来源类型 | Article |
规范类型 | 其他 |
DOI | 10.1016/j.ifacsc.2018.07.002 |
Characterization and Control of Conservative and Non-conservative Network Dynamics. | |
Wildemeersch Matthias; Ronald Chan Wai Hong; Rovenskaya Elena; Quek Tony QS | |
发表日期 | 2018 |
出处 | IFAC Journal of Systems and Control 5: 22-29 |
出版年 | 2018 |
语种 | 英语 |
摘要 | Diffusion processes are instrumental to describe the movement of a continuous quantity in a network of interacting agents. Here, we present a framework for diffusion in networks and study in particular two classes of agent interactions depending on whether the total network quantity follows a conservation law. Focusing on probabilistic, asymmetric interactions between agents, we define how the dynamics of conservative and non-conservative networks relate to the weighted in-degree and out-degree Laplacians. For uncontrolled networks, we compare the convergence behavior of both types of networks as a function of the eigenvectors of the weighted graph Laplacians. For networks with exogenous controls, we also analyze convergence and provide a method to measure the difference between conservative and non-conservative network dynamics based on the comparison of their respective reachable sets. The presented network control framework enables the comparative study of the dynamic and asymptotic network behavior for conservative and non-conservative networks. |
主题 | Advanced Systems Analysis (ASA) ; Ecosystems Services and Management (ESM) |
关键词 | Multi-agent networks Diffusion process Directed graphs Graph Laplacian Network control Reachable set |
URL | http://pure.iiasa.ac.at/id/eprint/15410/ |
来源智库 | International Institute for Applied Systems Analysis (Austria) |
引用统计 | |
资源类型 | 智库出版物 |
条目标识符 | http://119.78.100.153/handle/2XGU8XDN/131513 |
推荐引用方式 GB/T 7714 | Wildemeersch Matthias,Ronald Chan Wai Hong,Rovenskaya Elena,et al. Characterization and Control of Conservative and Non-conservative Network Dynamics.. 2018. |
条目包含的文件 | 条目无相关文件。 |
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