Abstract
The global issues of synchronization of complex networks with neutral-type coupling are investigated in this chapter, which is not adequately considered in existing literatures. Based on these new complex models, we derive asymptotical and exponential criterions via delay fraction approach. Numerical examples are then given to illustrate the effectiveness of our scheme and to compare with the recent proposals. We also make (some) attempts to explore the relationship between delay fraction numbers and the conservatism of our criterions.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Watts, D.J., Strogatz, S.H.: Collective dynamics of ‘small-world’ networks. Nature 393, 440–442 (1998)
Li, Z., Chen, G.: Global synchronization and asymptotic stability of complex dynamical networks. IEEE Trans. CAS-II 53, 28–33 (2006)
Lu, W., Chen, T.: Synchronization analysis of linearly coupled networks of discrete time systems. Phys. D 198, 148–168 (2004)
Wang, X.F., Chen, G.: Synchronization in scale-free dynamical networks: Robustness and fragility. IEEE Trans. CAS-II 49, 54–62 (2002)
Li, C., Chen, G.: Synchronization in general complex dynamical networks with coupling delays. Phys. A 343, 263–278 (2004)
Li, K., Guan, S., Gong, X., Lai, C.H.: Synchronization stability of general complex dynamical networks with time-varying delays. Phys. Lett. A 372, 7133–7139 (2008)
Li, P., Yi, Z.: Synchronization analysis of delayed complex networks with time-varying couplings. Phys. A 387, 3729–3737 (2008)
Tu, L., Lu, J.-A.: Delay-dependent synchronization in general complex delayed dynamical networks. Comput. Math. Appl. 57, 28–36 (2009)
Wang, Y., Wang, Z., Liang, J.: A delay fractioning approach to global synchronization of delayed complex networks with stochastic disturbances. Phys. Lett. A 372, 6066–6073 (2008)
Wen, S., Chen, S., Guo, W.: Adaptive global synchronization of a general complex dynamical network with non-delayed and delayed coupling. Phys. Lett. A 372, 6340–6346 (2008)
Dai, Y., Cai, Y., Xu, X.: Synchronization criteria for complex dynamical networks with neutral-type coupling delay. Phys. A 387, 4673–4682 (2008)
Solís-Perales, G., Ruiz-Velázquez, E., Valle-Rodríguez, D.: Synchronization in complex networks with distinct chaotic nodes. Commun. Nonlinear Sci. Numer. Simul 14(6):2528–2535 (2009)
Gu, K.Q., Kharitonov, V.L., Chen, J.: Stability of Time-Delay Systems. Birkhauser, Boston (2003)
Boyd, S., ElGhaoui, L., Feron, E., Balakrishnan, A.V.: Linear Matrix Inequalities in System and Control Theory. SIAM, Philadelphia (1994)
Acknowledgments
Thanks to the support by National Natural Science Foundation (61363032). And this work is supported by International Science & Technology Cooperation Program of China (2012DFA1127); Hainan International Cooperation Key Project(GJXM201105).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Wu, H., Zhao, Yp., Mai, Hh., Wang, Zx. (2014). A Delay Fractioning Approach to Global Synchronization of Delayed Complex Networks with Neutral-Type Coupling. In: Cao, BY., Ma, SQ., Cao, Hh. (eds) Ecosystem Assessment and Fuzzy Systems Management. Advances in Intelligent Systems and Computing, vol 254. Springer, Cham. https://doi.org/10.1007/978-3-319-03449-2_22
Download citation
DOI: https://doi.org/10.1007/978-3-319-03449-2_22
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-03448-5
Online ISBN: 978-3-319-03449-2
eBook Packages: EngineeringEngineering (R0)