Adaptive Control and Synchronization of Uncertain Complex Networks

Abstract:

Recently, synchronization of complex networks has been a focus subject of technology fields. In this paper, we consider the adaptive control and synchronization of uncertain complex networks. By using the adaptive control techniques with the linear feedback updated law and the well-known invariant principle on dynamical system theory, some simple yet generic criteria are derived. Furthermore, the result is applied to typical chaotic cellular neural networks (CNN). Finally, numerical simulations are presented to demonstrate the feasibility and effectiveness of the proposed techniques.

• Periodical: Applied Mechanics and Materials (Volume 734)
• Pages: 321-326
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.734.321
• Online since: February 2015
• Authors: Qian Qian Jia*
• Keywords: Adaptive Control, Invariant Principle, Synchronization, Uncertain Complex Network

References

[1] X. Wang, Complex networks: Topology, dynamics and synchronization, Int. J. Bifurcation Chaos, 2002, Vol. 12, No. 5, 885-916.

DOI: 10.1142/s0218127402004802

[2] X. Wang and G. Chen, Synchronization in small-world dynamical networks, Int. J. Bifurcation Chaos, 2002, Vol. 12, No. 1, 187-192.

DOI: 10.1142/s0218127402004292

[3] X. Wang and G. Chen, Synchronization in scale-free dynamical networks: Robustnessand fragility, IEEE Trans. Circuits Syst. I, 2002, Vol. 49, 54-62.

DOI: 10.1109/81.974874

[4] X. Li and G. Chen, Synchronization and desynchronization of complex dynamical networks: an engineering viewpoint, IEEE Trans. Circuits Syst. I, 2003, Nov. 50, 1381-1390.

DOI: 10.1109/tcsi.2003.818611

[5] J. L¨u, X. Yu, and G. Chen, Chaos synchronization of general complex dynamical networks, Phys. A, 2004, Vol. 334, 281-302.

[6] G. Chen, J. Zhou and Z. Liu, Global synchronization of coupled delayed neural networksand applications to chaotic CNN models, Int., J. Bifurcation Chaos, 2004, Vol. 14, No. 7, 2229-2240.

DOI: 10.1142/s0218127404010655

[7] W P. Maurice H. Heemels, Networked control systems with communication constraints tradeoofs between transmission intervals delays and performance, IEEE Trans. Automat. Contr., Jun, 2010, Vol. 55, 1781-1796.

DOI: 10.1109/tac.2010.2042352

[8] C. Dai and J. Wang, An extension of LaSalle's invariance principle and its application to multi-agent consensus, IEEE Trans. Automat. Contr., Jun, 2008, Vol. 53, 1765-1770.

DOI: 10.1109/tac.2008.928332

[9] W. Yu, W. Zheng, G. Chen and W. Ren, Second-order consensus in multi-agent dynamical systems with sampled position data, Automatica. , 2011, Vol. 47, 1496-1503.

DOI: 10.1016/j.automatica.2011.02.027

[10] J. Zhou, J. Lu , Adaptive synchronization of an uncertain complex dynamical network, IEEE. Trans. Automat, Control, 2006, Vol. 51.

DOI: 10.1109/tac.2006.872760

[11] M. Chen, D. Zhou, Synchronization in uncertain complex networks, Chaos, 2006, Vol. 16, 013101.