Energy scaling and reduction in controlling complex networks
Recent works revealed that the energy required to control a complex network depends on the number of driving signals and the energy distribution follows an algebraic scaling law. If one implements control using a small number of drivers, e.g. as determined by the structural controllability theory, t...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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The Royal Society
2016-01-01
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| Series: | Royal Society Open Science |
| Subjects: | |
| Online Access: | https://royalsocietypublishing.org/doi/pdf/10.1098/rsos.160064 |
| _version_ | 1811310577747755008 |
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| author | Yu-Zhong Chen Le-Zhi Wang Wen-Xu Wang Ying-Cheng Lai |
| author_facet | Yu-Zhong Chen Le-Zhi Wang Wen-Xu Wang Ying-Cheng Lai |
| author_sort | Yu-Zhong Chen |
| collection | DOAJ |
| description | Recent works revealed that the energy required to control a complex network depends on the number of driving signals and the energy distribution follows an algebraic scaling law. If one implements control using a small number of drivers, e.g. as determined by the structural controllability theory, there is a high probability that the energy will diverge. We develop a physical theory to explain the scaling behaviour through identification of the fundamental structural elements, the longest control chains (LCCs), that dominate the control energy. Based on the LCCs, we articulate a strategy to drastically reduce the control energy (e.g. in a large number of real-world networks). Owing to their structural nature, the LCCs may shed light on energy issues associated with control of nonlinear dynamical networks. |
| first_indexed | 2024-04-13T10:01:17Z |
| format | Article |
| id | doaj.art-d30b34ed36454d889cf9454becf347d2 |
| institution | Directory Open Access Journal |
| issn | 2054-5703 |
| language | English |
| last_indexed | 2024-04-13T10:01:17Z |
| publishDate | 2016-01-01 |
| publisher | The Royal Society |
| record_format | Article |
| series | Royal Society Open Science |
| spelling | doaj.art-d30b34ed36454d889cf9454becf347d22022-12-22T02:51:14ZengThe Royal SocietyRoyal Society Open Science2054-57032016-01-013410.1098/rsos.160064160064Energy scaling and reduction in controlling complex networksYu-Zhong ChenLe-Zhi WangWen-Xu WangYing-Cheng LaiRecent works revealed that the energy required to control a complex network depends on the number of driving signals and the energy distribution follows an algebraic scaling law. If one implements control using a small number of drivers, e.g. as determined by the structural controllability theory, there is a high probability that the energy will diverge. We develop a physical theory to explain the scaling behaviour through identification of the fundamental structural elements, the longest control chains (LCCs), that dominate the control energy. Based on the LCCs, we articulate a strategy to drastically reduce the control energy (e.g. in a large number of real-world networks). Owing to their structural nature, the LCCs may shed light on energy issues associated with control of nonlinear dynamical networks.https://royalsocietypublishing.org/doi/pdf/10.1098/rsos.160064complex networkscontrolscaling law |
| spellingShingle | Yu-Zhong Chen Le-Zhi Wang Wen-Xu Wang Ying-Cheng Lai Energy scaling and reduction in controlling complex networks Royal Society Open Science complex networks control scaling law |
| title | Energy scaling and reduction in controlling complex networks |
| title_full | Energy scaling and reduction in controlling complex networks |
| title_fullStr | Energy scaling and reduction in controlling complex networks |
| title_full_unstemmed | Energy scaling and reduction in controlling complex networks |
| title_short | Energy scaling and reduction in controlling complex networks |
| title_sort | energy scaling and reduction in controlling complex networks |
| topic | complex networks control scaling law |
| url | https://royalsocietypublishing.org/doi/pdf/10.1098/rsos.160064 |
| work_keys_str_mv | AT yuzhongchen energyscalingandreductionincontrollingcomplexnetworks AT lezhiwang energyscalingandreductionincontrollingcomplexnetworks AT wenxuwang energyscalingandreductionincontrollingcomplexnetworks AT yingchenglai energyscalingandreductionincontrollingcomplexnetworks |