Almost Periodic Synchronization of Fuzzy Cellular Neural Networks with Time–Varying Delays via State–Feedback and Impulsive Control

Abdurahman, A., Jiang, H. and Teng, Z. (2016). Finite-time synchronization for fuzzy cellular neural networks with time-varying delays, Fuzzy Sets and Systems297: 96–111.10.1016/j.fss.2015.07.009Search in Google Scholar

Aouiti, C., Gharbia, I.B., Cao, J., M’Hamdi, M.S. and Alsaedi, A. (2018). Existence and global exponential stability of pseudo almost periodic solution for neutral delay BAM neural networks with time-varying delay in leakage terms, Chaos Solitons & Fractals107: 111–127.10.1016/j.chaos.2017.12.022Search in Google Scholar

Aouiti, C., M’Hamdi, M.S., Cao, J. and Alsaedi, A. (2017). Piecewise pseudo almost periodic solution for impulsive generalised high-order Hopfield neural networks with leakage delays, Neural Processing Letters45(2): 615–648.10.1007/s11063-016-9546-6Search in Google Scholar

Arik, S. (2002a). An analysis of global asymptotic stability of delayed cellular neural networks, IEEE Transactions on Neural Networks13(5): 1239–1242.10.1109/TNN.2002.1031957Search in Google Scholar

Arik, S. (2002b). An improved global stability result for delayed cellular neural networks, IEEE Transactions on Circuits & Systems I: Fundamental Theory & Applications49(8): 1211–1214.10.1109/TCSI.2002.801264Search in Google Scholar

Cai, Z., Huang, L., Guo, Z., Zhang, L. and Wan, X. (2015). Periodic synchronization control of discontinuous delayed networks by using extended Filippov-framework, Neural Networks68: 96–110.10.1016/j.neunet.2015.04.011Search in Google Scholar

Cao, J., Ho, D.W.C. and Yang, Y. (2009). Projective synchronization of a class of delayed chaotic systems via impulsive control, Physics Letters A373(35): 3128–3133.10.1016/j.physleta.2009.06.056Search in Google Scholar

Cao, J., Li, H. and Ho, D.W.C. (2005). Synchronization criteria of Lur‘e systems with time-delay feedback control, Chaos Solitons & Fractals23(4): 1285–1498.10.1016/S0960-0779(04)00380-7Search in Google Scholar

Cao, J. and Liang, J. (2004). Boundedness and stability for Cohen–Grossberg neural network with time-varying delays, Journal of Mathematical Analysis and Applications296(2): 665–685.10.1016/j.jmaa.2004.04.039Search in Google Scholar

Diagana, T. (2013). Almost Automorphic Type and Almost Periodic Type Functions in Abstract Spaces, Springer, Cham.10.1007/978-3-319-00849-3Search in Google Scholar

Ding, W. and Han, M. (2008). Synchronization of delayed fuzzy cellular neural networks based on adaptive control, Physics Letters A372(26): 4674–4681.10.1016/j.physleta.2008.04.053Search in Google Scholar

Ding, W., Han, M. and Li, M. (2009). Exponential lag synchronization of delayed fuzzy cellular neural networks with impulses, Physics Letters A373(8–9): 832–837.10.1016/j.physleta.2008.12.049Search in Google Scholar

Feng, X., Zhang, F. and Wang, W. (2011). Global exponential synchronization of delayed fuzzy cellular neural networks with impulsive effects, Chaos Solitons & Fractals44(1): 9–16.10.1016/j.chaos.2010.10.003Search in Google Scholar

Fink, A.M. (1974). Almost Periodic Differential Equations, Springer, Berlin.10.1007/BFb0070324Search in Google Scholar

Guan, K. (2018). Global power-rate synchronization of chaotic neural networks with proportional delay via impulsive control, Neurocomputing283: 256–265.10.1016/j.neucom.2018.01.027Search in Google Scholar

Heagy, J.F., Carroll, T.L. and Pecora, L.M. (1994). Experimental and numerical evidence for riddled basins in coupled chaotic systems, Physical Review Letters73(26): 3528–3531.10.1103/PhysRevLett.73.352810057406Search in Google Scholar

Hong, H. (2014). Periodic synchronization and chimera in conformist and contrarian oscillators, Physical Review E89(6): 1–37.10.1103/PhysRevE.89.06292425019868Search in Google Scholar

Hu, C., Yu, J., Jiang, H. and Teng, Z. (2010). Exponential stabilization and synchronization of neural networks with time-varying delays via periodically intermittent control, Nonlinearity23(10): 2369–2391.10.1088/0951-7715/23/10/002Search in Google Scholar

Huang, Z. (2017a). Almost periodic solutions for fuzzy cellular neural networks with multi-proportional delays, International Journal of Machine Learning and Cybernetics28(4): 1–9.10.1007/s13042-016-0507-1Search in Google Scholar

Huang, Z. (2017b). Almost periodic solutions for fuzzy cellular neural networks with time-varying delays, Neural Computing and Applications28(8): 2313–2320.10.1007/s00521-016-2194-ySearch in Google Scholar

Li, Y., Chen, X. and Zhao, L. (2009). Stability and existence of periodic solutions to delayed Cohen–Grossberg BAM neural networks with impulses on time scales, Neurocomputing72(7–9): 1621–1630.10.1016/j.neucom.2008.08.010Search in Google Scholar

Li, Y. and Fan, X. (2009). Existence and globally exponential stability of almost periodic solution for Cohen–Grossberg BAM neural networks with variable coefficients, Applied Mathematical Modelling33(4): 2114–2120.10.1016/j.apm.2008.05.013Search in Google Scholar

Li, Y., Li, B., Yao, S. and Xiong, L. (2018a). The global exponential pseudo almost periodic synchronization of quaternion-valued cellular neural networks with time-varying delays, Neurocomputing303: 75–87.10.1016/j.neucom.2018.04.044Search in Google Scholar

Li, Y., Meng, X. and Ye, Y. (2018b). Almost periodic synchronization for quaternion-valued neural networks with time-varying delays, Complexity2018, Article ID: 6504590.10.1155/2018/6504590Search in Google Scholar

Li, Y., Wang, H. and Meng, X. (2018c). Almost automorphic synchronization of quaternion-valued high-order Hopfield neural networks with time-varying and distributed delays, IMA Journal of Mathematical Control and Information: dny015, DOI:10.1093/imamci/dny015.10.1093/imamci/dny015Search in Google Scholar

Li, Y. and Wang, C. (2013). Existence and global exponential stability of equilibrium for discrete-time fuzzy BAM neural networks with variable delays and impulses, Fuzzy Sets and Systems217: 62–79.10.1016/j.fss.2012.11.009Search in Google Scholar

Li, Y. and Zhang, T. (2009). Global exponential stability of fuzzy interval delayed neural networks with impulses on time scales, International Journal of Neural Systems19(06): 449–456.10.1142/S012906570900214220039467Search in Google Scholar

Lin, Y. and Zhang, Y. (2018). Synchronization of stochastic impulsive discrete-time delayed networks via pinning control, Neurocomputing286: 31–40.10.1016/j.neucom.2018.01.052Search in Google Scholar

Long, S. and Xu, D. (2011). Stability analysis of stochastic fuzzy cellular neural networks with time-varying delays, Neuro-computing69(14–15): 2385–2391.10.1016/j.neucom.2011.03.017Search in Google Scholar

Lu, J., Ho, D.W.C., Cao, J. and Kurths, J. (2013). Single impulsive controller for globally exponential synchronization of dynamical networks, Nonlinear Analysis: Real World Applications14(1): 581–593.10.1016/j.nonrwa.2012.07.018Search in Google Scholar

Lu, X., Zhang, X. and Liu, Q. (2018). Finite-time synchronization of nonlinear complex dynamical networks on time scales via pinning impulsive control, Neurocomputing275: 2104–110.10.1016/j.neucom.2017.10.033Search in Google Scholar

Pan, L. and Cao, J. (2011). Anti-periodic solution for delayed cellular neural networks with impulsive effects, Nonlinear Analysis: Real World Applications12(6): 3014–3027.10.1016/j.nonrwa.2011.05.002Search in Google Scholar

Park, J.H. (2009). Synchronization of cellular neural networks of neutral type via dynamic feedback controller, Chaos Solitons & Fractals42(3): 1299–1304.10.1016/j.chaos.2009.03.024Search in Google Scholar

Pecora, L.M. and Carroll, T.L. (1990). Synchronization in chaotic systems, Physical Review Letters64(8): 821–824.10.1103/PhysRevLett.64.82110042089Search in Google Scholar

Sen, M.D.L. (2006). Stability of impulsive time-varying systems and compactness of the operators mapping the input space into the state and output spaces, Journal of Mathematical Analysis and Applications321(2): 621–650.10.1016/j.jmaa.2005.08.038Search in Google Scholar

Stamov, G.T. (2012). Almost Periodic Solutions for Impulsive Differential Equations, Springer, Berlin.10.1007/978-3-642-27546-3Search in Google Scholar

Tang, Z., Park, J.H. and Feng, J. (2018a). Impulsive effects on quasi-synchronization of neural networks with parameter mismatches and time-varying delay, IEEE Transactions on Neural Networks and Learning Systems29(4): 908–919.10.1109/TNNLS.2017.265102428141535Search in Google Scholar

Tang, Z., Park, J.H., Wang, Y. and Feng, J. (2018b). Distributed impulsive quasi-synchronization of Lur’e networks with proportional delay, IEEE Transactions on Cybernetics, 49(8): 3105–3115, DOI:10.1109/TCYB.2018.2839178.10.1109/TCYB.2018.283917829994241Search in Google Scholar

Wang, W. (2018). Finite-time synchronization for a class of fuzzy cellular neural networks with time-varying coefficients and proportional delays, Fuzzy Sets and Systems338: 40–49.10.1016/j.fss.2017.04.005Search in Google Scholar

Wu, H., Li, R., Zhang, X. and Yao, R. (2015). Adaptive finite-time complete periodic synchronization of memristive neural networks with time delays, Neural Processing Letters42(3): 563–583.10.1007/s11063-014-9373-6Search in Google Scholar

Xia, Y., Cao, J. and Cheng, S.S. (2007). Global exponential stability of delayed cellular neural networks with impulses, Neurocomputing70(13–15): 2495–2501.10.1016/j.neucom.2006.08.005Search in Google Scholar

Xu, D. and Yang, Z. (2005). Impulsive delay differential inequality and stability of neural networks, Journal of Mathematical Analysis and Applications305(1): 107–120.10.1016/j.jmaa.2004.10.040Search in Google Scholar

Yang, H., Wang, X., Zhong, S. and Shu, L. (2018). Synchronization of nonlinear complex dynamical systems via delayed impulsive distributed control, Applied Mathematics and Computation320: 75–85.10.1016/j.amc.2017.09.019Search in Google Scholar

Yang, T. (2001). Impulsive Control Theory, Springer, Berlin.Search in Google Scholar

Yang, T. and Yang, L.B. (1996). The global stability of fuzzy cellular neural network, IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications43(10): 880–883.10.1109/81.538999Search in Google Scholar

Yang, W., Yu, W., Cao, J., Alsaadi, F.E. and Hayat, T. (2017). Global exponential stability and lag synchronization for delayed memristive fuzzy Cohen–Grossberg BAM neural networks with impulses, Neural Networks98: 122–153.10.1016/j.neunet.2017.11.00129227961Search in Google Scholar

Yang, X., Cao, J. and Ho, D. W.C. (2015). Exponential synchronization of discontinuous neural networks with time-varying mixed delays via state feedback and impulsive control, Cognitive Neurodynamics9(2): 113–128.10.1007/s11571-014-9307-z437866725834647Search in Google Scholar

Yuan, K., Cao, J. and Deng, J. (2006). Exponential stability and periodic solutions of fuzzy cellular neural networks with time-varying delays, Neurocomputing69(13–15): 1619–1627.10.1016/j.neucom.2005.05.011Search in Google Scholar

Yuan, K., Fei, S. and Cao, J. (2014). Partial synchronization of the distributed parameter system with time delay via fuzzy control, IMA Journal of Mathematical Control and Information31(1): 51–72.10.1093/imamci/dnt001Search in Google Scholar

Zhang, B., Deng, F., Xie, S. and Luo, S. (2018). Exponential synchronization of stochastic time-delayed memristor-based neural networks via distributed impulsive control, Neurocomputing286: 41–50.10.1016/j.neucom.2018.01.051Search in Google Scholar