Open Access

Synchronization Analysis of Inertial Memristive Neural Networks with Time-Varying Delays

 and    | May 17, 2018

Cite

[1]L. O. Chua Memristor-the missing circuit element, IEEE Transaction on Circuit Theory, Vol. 18, No 6, pp. 507-519, 197110.1109/TCT.1971.1083337Search in Google Scholar

[2] D. Strukov, G. Snide and D. Stewart, The missing memristor found, Nature, Vol. 453, No. 6, pp. 80- 83, 2008.10.1038/nature06932Search in Google Scholar

[3] R. Rakkiyappan, S. Premalatha, A. Chandrasekar and J. Cao, Stability and synchronization of innertial memristive neural networks with time delays, Cognit. Neurodyn., Vol. 10, No. 5, pp. 437-451, 2016.10.1007/s11571-016-9392-2Search in Google Scholar

[4] N. Li and J. Cao, Lag synchronization of memristor-based coupled neural networks via ω- measure, IEEE Trans. Neural Netw. Learn. Syst., Vol. 27, No. 3, pp. 169-182, 2016.10.1109/TNNLS.2015.2480784Search in Google Scholar

[5] X. Yang, J. Cao, and J. Liang, Exponential Synchronization of memeristive neural networks with delays: Interval matrix method, IEEE Trans. Neural Netw. Learn. Syst., 10.1109/TNNLS.2016.2561298.Search in Google Scholar

[6] J. Hu, J. Cao and A. Elaiw, Pinning synchronization of coupled inertial delayed neural networks, Cognit. Neurodyn., Vol. 9, No. 3, pp. 341-350, 2015.10.1007/s11571-014-9322-0Search in Google Scholar

[7] Q. Liu, X. Liao and Y. Liu, Dynamics of an inertial two-neuron system with time delay, Nonlinear Dyn., Vol. 58, No. 3, pp. 573-609, 2009.10.1007/s11071-009-9503-2Search in Google Scholar

[8] Z. Zhang and Z. Quan, Global exponential stability via inequality technique for inertial BAMneural networks with time delays, Neurocomputing., Vol. 151, No. 3, pp. 1316-1326, 2015.Search in Google Scholar

[9] Q. Liu, X. Liao and Y. Wu, Stability of bifurcating periodic solution for a single delayed inertial neuron model under periodic excitation, Nonlinear Analysis: Real World Applications, Vol. 10, No. 4, pp. 2384-2395, 2009.10.1016/j.nonrwa.2008.04.025Open DOISearch in Google Scholar

[10] W. D. Wheeler and W. C. Schieve, Stability and Chaos in an inertial two-neuron system, Physica B, Vol. 105, No. 4, pp. 267-284, 1997.10.1016/S0167-2789(97)00008-0Search in Google Scholar

[11] Y. Ke and C. Miao, Stability and existence of periodic solutions in inertial BAM neural networks with time delay, Neural Computing and Applications, Vol. 23, No. 3, pp. 1089-1099, 2013.Search in Google Scholar

[12] W. Zhang, C. Li and T. Huang, Exponential stability of inertial BAM neural networks with timevarying delay via periodically intermittent control, Neural Computing and Applications, Vol. 26, No. 7, pp. 1781-1787, 2015.Search in Google Scholar

[13] Y. Ke and C. Miao, Stability analysis of inertial Cohen-Grossberg-type neural networks with time delays, Neurocomputing., Vol. 117, No. 6, pp. 196- 205, 2013.10.1016/j.neucom.2013.01.026Search in Google Scholar

[14] J. Qi, C. Li and T. Huang, Stability of delayed memristive neural networks with time-varying impulses, Cognit. Neurodyn., Vol. 8, No. 5, pp. 429- 436, 2014.10.1007/s11571-014-9286-0415506925206936Search in Google Scholar

[15] R. Rakkiyappan, G. Velmurugan and J. Cao, Stability analysis of memristor-based fractional-order neural networks with different memductance functions, Cognit. Neurodyn., Vol. 9, No. 2, pp. 145- 177, 2015.10.1007/s11571-014-9312-2438452025861402Search in Google Scholar

[16] L. Chen, R. Wu and J. Cao, Stability and synchronization of memristor-based fractional-order delayed neural networks, Neural Netw., Vol. 71, pp. 37-44, 2015.10.1016/j.neunet.2015.07.01226282374Search in Google Scholar

[17] A. Wu and Z. Zeng, Global Mittag-Leffler stabilization of fractional-order memristive neural networks, IEEE Trans. Neural Netw. Learn. Syst., Vol. 3, pp. 1-12, 2015.Search in Google Scholar

[18] W. Wang, L. Li and Y.Yang, Synchronization control of memristor-based recurrent neural networks with perturbations, Neural Netw., Vol. 53, pp. 8-14, 2014.10.1016/j.neunet.2014.01.01024524891Search in Google Scholar

[19] X. Yang, J. Cao and W. Yu, Exponential synchronization of memristive Cohen-Grossberg neural networks with mixed delays, Cognit. Neurodyn., Vol. 8, pp. 239-249, 2014.10.1007/s11571-013-9277-6401206424808932Search in Google Scholar

[20] Y. Wan, J. Cao and W. Yu, Robust fixed-time synchronization of delayed Cohen-Grossburg neural networks, Neural Netw., Vol. 73, pp. 86-94, 2016.10.1016/j.neunet.2015.10.00926575975Search in Google Scholar

[21] J. Cao and J. Lu, “Adaptive synchronization of neural networks with or without time-varying delays, Chaos, Vol. 16, No. 1, pp. 8-14, 2006.10.1063/1.217844816599764Search in Google Scholar

[22] J. Cao and Y. Wan, Matrix measure strategies for stability and synchronization of inertial neural network with time-delays, Neural Netw., Vol. 53, pp. 165-172, 2014.10.1016/j.neunet.2014.02.00324632220Search in Google Scholar

[23] W. He and J. Cao, Exponential synchronization of chaotic neural networks:a matrix measure approach, Nonlinear Dyn., Vol. 55, pp. 55-65, 2009.10.1007/s11071-008-9344-4Search in Google Scholar

[24] H. Bao and J. Cao, Finite-time generalized synchronization of nonidentical delayed chaotic sysytems, Nonlinear Analysis: Modelling and Control, Vol. 21, No. 3, pp. 306-324, 2016.10.15388/NA.2016.3.2Search in Google Scholar

[25] L. Wen, Y. Yu and W. Wang, Generalized Halanay inequalities for dissipativity of Voterra functional differential equations, Journal of Mathematical Analysis and Applications Vol. 347, No. 1, pp. 169-178, 2008.10.1016/j.jmaa.2008.05.007Search in Google Scholar

[26] M. Vidyasagar, Nonlinear System Analysis, Prentice Hall, Englewood Cliffs, 1993.Search in Google Scholar

[27] A. F. Filippov and F. M. Arscott, Differential equations with discontinuous right hand sides: control systems, Dordrecht, Kluwer, Springer, 2013.Search in Google Scholar

[28] L. Xu and X. Wang, Mathematical Analysis Method and Examples, Higher Education Press, Beijing, 1983.Search in Google Scholar

eISSN:
2083-2567
Language:
English
Publication timeframe:
4 times per year
Journal Subjects:
Computer Sciences, Databases and Data Mining, Artificial Intelligence