Abstract
In this paper, the adaptive synchronisation of time-varying perturbed complex networks with non-dissipatively coupled and uncertain inner coupling matrix is studied. In order to describe the actual network better, the out-coupling configuration matrix is not limited by the dissipatively coupled conditions. It is also worth pointing out that the drive system and the response system described in this paper are uncertain, and uncertainty arises in linear inner coupling matrix and unavoidable uncertain external disturbances, which is different from the past. On the basis of Lyapunov stability theory, adaptive law can be obtained and at the same time unknown bounded disturbances can be overcome.
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References
L M Pecora and T L Carroll, Phys. Rev. Lett. 80, 2109 (1998)
A Selivanov, A Fradkov and E Fridman, J. Franklin Inst. 352, 52 (2015)
R Rakkiyappan and N Sakthivel, Neurocomputing 162, 26 (2015)
G Y Zhou, C R Li, T T Li, Y Yang, C Wang, F J He and J C Sun, Physica A 457, 506 (2016)
L M Wang, Pramana – J. Phys. 89: 38 (2017)
S Rajavel, R Samidurai, J D Cao, A Alsaedi and B Ahmad, Appl. Math. Comput. 297, 145 (2017)
F Z Nian and W L Liu, Pramana – J. Phys. 86, 1209 (2016)
C D Huang, J D Cao, M Xiao, A Alsaedi and T Hayat, Appl. Math. Comput. 292, 210 (2017)
H Tirandza, Pramana – J. Phys. 89: 85 (2017)
X Y Chen, J D Cao, J L Qiu, A Alsaedi and F E Alsaadi, Adv. Differ. Equ. 2016, 231 (2016)
K Sivaranjani, R Rakkiyappan, J D Cao and A Alsaedi, Appl. Math. Comput. 311, 283 (2017)
W W Zhang, R C Wu, J D Cao, A Alsaedi and T Hayat, Nonlinear Anal.: Model. Control 22, 636 (2017)
G L Cai, S Q Jiang, S M Cai and L X Tian, Pramana – J. Phys. 86, 545 (2016)
S Q Jiang and X B Lu, Pramana – J. Phys. 86, 1243 (2016)
X Q Lei, S M Cai, S Q Jiang and Z R Liu, Neurocomputing 222, 26 (2017)
S Zheng, J. Franklin Inst. 354, 6341 (2017)
L Shi, H Zhu, S M Zhong, K B Shi and J Cheng, ISA Trans. 65, 81 (2016)
S G Wang, S Zheng, B W Zhang and H T Cao, Optik 127, 4716 (2016)
C R Li, L Lü, Y M Yang, S Zhou and Y X Hong, Physica A 492, 2301 (2018)
L Shi, H L Yang, X Wang, S M Zhong and W Q Wang, Chaos Solitons Fractals 111, 180 (2018)
X Wang, X Z Liu, K She and S M Zhong, J. Franklin Inst. 354, 4913 (2017)
Z Y Wu and H Leng, J. Franklin Inst. 354, 689 (2017)
X Wang, X Z Liu, K She and S M Zhong, Nonlinear Anal.: Hybrid Syst. 26, 307 (2017)
X H Ma and J A Wang, Neurocomputing 199, 197 (2016)
Y F Lei, L L Zhang, Y H Wang and Y Q Fan, Neurocomputing 230, 390 (2017)
L L Zhang, Y F Lei, Y H Wang and H G Chen, Appl. Math. Model. 55, 248 (2018)
Acknowledgements
This research was partially supported by the Fundamental Research Funds for the Central Universities, China (No. 2017B17914) and the National Nature Science Foundation of China (Grant No. 11402226).
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Wang, S. Adaptive synchronisation of complex networks with non-dissipatively coupled and uncertain inner coupling matrix. Pramana - J Phys 93, 1 (2019). https://doi.org/10.1007/s12043-019-1748-9
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DOI: https://doi.org/10.1007/s12043-019-1748-9