Abstract
In this paper, the global exponential lag synchronization has been investigated for complex-valued neural networks with time delays. By using Lyapunov functionals and matrix inequality techniques, designing feedback control and adaptive feedback control, some new sufficient conditions for checking the global exponentially lag synchronization of the addressed complex-valued neural networks are established. Finally, numerical examples are given to demonstrate the effectiveness of theoretical results.
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
Similar content being viewed by others
References
Aram, Z., Jafari, S., Ma, J.: Using chaotic artificial neural networks to model memory in the brain. Commun. Nonlinear Sci. Numer. Simul. 44, 449–459 (2017)
Chistyakov, Y.S., Kholodova, E.V., Minin, A.S.: Modeling of electric power transformer using complex-valued neural networks. Energy Procedia 12, 638–647 (2011)
Chen, X., Zhao, Z., Song, Q.: Multistability of complex-valued neural networks with time-varying delays. Appl. Math. Comput. 294, 18–35 (2017)
Liu, B., Lu, W., Chen, T.: Generalized Halanay inequalities and their applications to neural networks with unbounded time-varying delays. IEEE Trans. Neural Netw. 22, 1508–1513 (2011)
Subramanian, K., Muthukumar, P.: Existence, uniqueness, and global asymptotic stability analysis for delayed complex-valued Cohen Grossberg BAM neural networks. Neural Comput. Appl. 29, 1–20 (2016)
Nitta, T.: Solving the XOR problem and the detection of symmetry using a single complex-valued neuron. Neural Netw. 16, 1101–1105 (2003)
Aizenberg, I.: Solving the XOR and parity N problems using a single universal binary neuron. Soft Comput. 12, 215–222 (2008)
Zhang, Z., Yu, S.: Global asymptotic stability for a class of complex-valued Cohen Grossberg neural networks with time delays. Neurocomputing 171, 1158–1166 (2016)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer Nature Switzerland AG
About this paper
Cite this paper
Li, J., Jiang, H., Hu, C., Yu, J. (2018). Lag Synchronization of Complex-Valued Neural Networks with Time Delays. In: Cheng, L., Leung, A., Ozawa, S. (eds) Neural Information Processing. ICONIP 2018. Lecture Notes in Computer Science(), vol 11302. Springer, Cham. https://doi.org/10.1007/978-3-030-04179-3_34
Download citation
DOI: https://doi.org/10.1007/978-3-030-04179-3_34
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-04178-6
Online ISBN: 978-3-030-04179-3
eBook Packages: Computer ScienceComputer Science (R0)