Synchronization control in arrays of coupled Lur'e type networks with nonlinear delayed coupling

作者: Aiguo Song , Shumin Fei , Tao Li

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摘要: This paper deals with global synchronization in arrays of coupled Lur'e systems nonlinear delayed coupling. Together Krasovskii-Lyapunov functional and Kronecker product technique, two novel criteria are presented terms linear matrix inequalities(LMIs) based on convex combination, which the conditions heavily dependent bounds time delay its derivative. Through employing LMI Matlab Toolbox adjusting some parameters derived results, we can realize designing applications systems. The effectiveness proposed methods be demonstrated by one numerical example simulations.

参考文章(26)
Zhang Yifeng, He Zhengya, A secure communication scheme based on cellular neural network ieee international conference on intelligent processing systems. ,vol. 1, pp. 521- 524 ,(1997) , 10.1109/ICIPS.1997.672837
Zhi Li, Ju-Jang Lee, New approach to synchronization in asymmetrically coupled networks Physics Letters A. ,vol. 372, pp. 1228- 1235 ,(2008) , 10.1016/J.PHYSLETA.2007.09.021
S.J. Choi, S.M. Lee, S.C. Won, Ju H. Park, Improved delay-dependent stability criteria for uncertain Lur’e systems with sector and slope restricted nonlinearities and time-varying delays Applied Mathematics and Computation. ,vol. 208, pp. 520- 530 ,(2009) , 10.1016/J.AMC.2008.12.026
Anindita Tarai (Poria), Swarup Poria, Prasanta Chatterjee, Synchronization of bidirectionally coupled chaotic Chen's system with delay Chaos Solitons & Fractals. ,vol. 41, pp. 190- 197 ,(2009) , 10.1016/J.CHAOS.2007.11.025
Yinping Zhang, Jitao Sun, Robust synchronization of coupled delayed neural networks under general impulsive control Chaos Solitons & Fractals. ,vol. 41, pp. 1476- 1480 ,(2009) , 10.1016/J.CHAOS.2008.06.010
A.L. ZHELEZNYAK, L.O. CHUA, COEXISTENCE OF LOW- AND HIGH-DIMENSIONAL SPATIOTEMPORAL CHAOS IN A CHAIN OF DISSIPATIVELY COUPLED CHUA’S CIRCUITS International Journal of Bifurcation and Chaos. ,vol. 4, pp. 639- 674 ,(1994) , 10.1142/S0218127494000460
PETER RUOFF, MERETE VINSJEVIK, CHRISTIAN MONNERJAHN, LUDGER RENSING, The Goodwin model: simulating the effect of light pulses on the circadian sporulation rhythm of Neurospora crassa. Journal of Theoretical Biology. ,vol. 209, pp. 29- 42 ,(2001) , 10.1006/JTBI.2000.2239
V. Gazi, K.M. Passino, Stability analysis of swarms IEEE Transactions on Automatic Control. ,vol. 48, pp. 692- 697 ,(2003) , 10.1109/TAC.2003.809765
V. Perez-Munuzuri, V. Perez-Villar, L.O. Chua, Autowaves for image processing on a two-dimensional CNN array of excitable nonlinear circuits: flat and wrinkled labyrinths IEEE Transactions on Circuits and Systems I-regular Papers. ,vol. 40, pp. 174- 181 ,(1993) , 10.1109/81.222798
Yonghui Xia, Zijiang Yang, Maoan Han, Synchronization schemes for coupled identical Yang–Yang type fuzzy cellular neural networks Communications in Nonlinear Science and Numerical Simulation. ,vol. 14, pp. 3645- 3659 ,(2009) , 10.1016/J.CNSNS.2009.01.028