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Dynamic modeling and aperiodically intermittent strategy for adaptive finite-time synchronization control of the multi-weighted complex transportation networks with multiple delays |
| Ning Li(李宁)1, Haiyi Sun(孙海义)2,†, Xin Jing(靖新)2, and Zhongtang Chen(陈仲堂)2 |
1 College of Sciences, Northeastern University, Shenyang, China;
2 College of Science, Shenyang JianZhu University, Shenyang, China |
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Abstract The idea of network splitting according to time delay and weight is introduced. Based on the cyber physical systems (CPS), a class of multi-weighted complex transportation networks with multiple delays is modeled. The finite-time synchronization of the proposed complex transportation networks model is studied systematically. On the basis of the theory of stability, the technique of adaptive control, aperiodically intermittent control and finite-time control, the aperiodically intermittent adaptive finite-time synchronization controller is designed. The controller designed in this paper is beneficial for understanding the synchronization in multi-weighted complex transportation networks with multiple delays. In addition, the conditions for the existence of finite time synchronization have been discussed in detail. And the specific value of the settling finite time for synchronization is obtained. Moreover, the outer coupling configuration matrices are not required to be irreducible or symmetric. Finally, simulation results of the finite-time synchronization problem are given to illustrate the correctness of the results obtained.
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Received: 24 December 2020
Revised: 30 January 2021
Accepted manuscript online: 01 March 2021
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PACS:
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05.45.-a
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(Nonlinear dynamics and chaos)
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05.45.Xt
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(Synchronization; coupled oscillators)
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02.30.Yy
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(Control theory)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant No. 61803275), Liaoning Provincial Department of Education Scientific Research Fund Project, China (Grant Nos. lnjc202018 and lnzd202007), Liaoning BaiQianWan Talents Program (Grant No. 2017076), and Liaoning Province Doctor Starting Foundation (Grant No. 20170520283). |
Corresponding Authors:
Haiyi Sun
E-mail: shy_xx@163.com
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Cite this article:
Ning Li(李宁), Haiyi Sun(孙海义), Xin Jing(靖新), and Zhongtang Chen(陈仲堂) Dynamic modeling and aperiodically intermittent strategy for adaptive finite-time synchronization control of the multi-weighted complex transportation networks with multiple delays 2021 Chin. Phys. B 30 090507
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