Adaptive Control of Dynamically Complex Networks with Saturation Couplings
This paper considers the control problem of dynamically complex networks with saturation couplings. Two novel control schemes in terms of adaptive control are presented to deal with such saturation couplings. Based on the robust idea, the underlying complex network is firstly transformed into a stro...
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2016/4614856 |
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| _version_ | 1849411228578873344 |
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| author | Guoliang Wang Tingting Yan |
| author_facet | Guoliang Wang Tingting Yan |
| author_sort | Guoliang Wang |
| collection | DOAJ |
| description | This paper considers the control problem of dynamically complex networks with saturation couplings. Two novel control schemes in terms of adaptive control are presented to deal with such saturation couplings. Based on the robust idea, the underlying complex network is firstly transformed into a strongly connected network having time-varying uncertainty. However, the upper bound of uncertainty is unknown. Because of such an unavailable bound, a kind of adaptive controller added to each node is proposed such that the closed-loop auxiliary network is uniformly bounded. In particular, the original system states are asymptotically stable. Moreover, in order to avoid adding the desired controller to every node, another different kind of adaptive controller based on the pinning control idea is proposed. Compared with the former method, it is only applied to a part of nodes and has a good operability. Finally, a numerical example is provided to show the effectiveness of our results. |
| format | Article |
| id | doaj-art-61e0abaac174473dab9e718cac98588c |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-61e0abaac174473dab9e718cac98588c2025-08-20T03:34:49ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2016-01-01201610.1155/2016/46148564614856Adaptive Control of Dynamically Complex Networks with Saturation CouplingsGuoliang Wang0Tingting Yan1School of Information and Control Engineering, Liaoning Shihua University, Fushun, Liaoning 113001, ChinaSchool of Information and Control Engineering, Liaoning Shihua University, Fushun, Liaoning 113001, ChinaThis paper considers the control problem of dynamically complex networks with saturation couplings. Two novel control schemes in terms of adaptive control are presented to deal with such saturation couplings. Based on the robust idea, the underlying complex network is firstly transformed into a strongly connected network having time-varying uncertainty. However, the upper bound of uncertainty is unknown. Because of such an unavailable bound, a kind of adaptive controller added to each node is proposed such that the closed-loop auxiliary network is uniformly bounded. In particular, the original system states are asymptotically stable. Moreover, in order to avoid adding the desired controller to every node, another different kind of adaptive controller based on the pinning control idea is proposed. Compared with the former method, it is only applied to a part of nodes and has a good operability. Finally, a numerical example is provided to show the effectiveness of our results.http://dx.doi.org/10.1155/2016/4614856 |
| spellingShingle | Guoliang Wang Tingting Yan Adaptive Control of Dynamically Complex Networks with Saturation Couplings Discrete Dynamics in Nature and Society |
| title | Adaptive Control of Dynamically Complex Networks with Saturation Couplings |
| title_full | Adaptive Control of Dynamically Complex Networks with Saturation Couplings |
| title_fullStr | Adaptive Control of Dynamically Complex Networks with Saturation Couplings |
| title_full_unstemmed | Adaptive Control of Dynamically Complex Networks with Saturation Couplings |
| title_short | Adaptive Control of Dynamically Complex Networks with Saturation Couplings |
| title_sort | adaptive control of dynamically complex networks with saturation couplings |
| url | http://dx.doi.org/10.1155/2016/4614856 |
| work_keys_str_mv | AT guoliangwang adaptivecontrolofdynamicallycomplexnetworkswithsaturationcouplings AT tingtingyan adaptivecontrolofdynamicallycomplexnetworkswithsaturationcouplings |