Synchronization of Stochastic Fuzzy Cellular Neural Networks with Leakage Delay Based on Adaptive Control

Coelho, L.S., Grebogi, R.B.: Chaotic synchronization using PID control combined with population based incremental learning algorithm. Expert Syst. Appl. 37, 5347–5352 (2010)

Farivar, F., Shoorehdeli, M.A., Nekoui, M.A., Teshnehlab, M.: Generalized projective synchronization of uncertain chaotic systems with external disturbance. Expert Syst. Appl. 38, 4714–4726 (2011)

Li, S., Ge, Z.: Generalized synchronization of chaotic systems with different orders by fuzzy logic constant controller. Expert Syst. Appl. 38, 2302–2310 (2011)

Sun, C., Xia, Y.: An analysis of a neural dynamical approach to solving optimization problems. IEEE Trans. Autom. Control 54, 1972–1977 (2009)

Sun, C., Yu, W.: Neural network for control, robotics and diagnostics. Neural Comput. Appl. 17, 325–326 (2008)

Xia, Y., Sun, C.: A novel neural dynamical approach to convex quadratic program and its efficient applications. Neural Netw. 10, 1463–1470 (2009)

Zhang, K., Wang, H., Feng, H.: Feedback control and hybrid projective synchronization of a fractional-order Newton–Leipnik system. Commun. Nonlinear Sci. Numer. Simul. 17, 317–328 (2012)

Zhang, L., Jiang, H.: Impulsive generalized synchronization for a class of nonlinear discrete chaotic systems. Commun. Nonlinear Sci. Numer. Simul. 16, 2027–2032 (2011)

Cao, J., Li, L.: Cluster synchronization in an array of hybrid coupled neural networks with delay. Neural Netw. 22, 335–342 (2009)

Chen, B., Wang, J.: Global exponential periodicity and global exponential stability of a class of recurrent neural networks with various activation functions and time-varying delays. Neural Netw. 20, 1067–1080 (2007)

Chen, M., Chen, W.: Robust adaptive neural network synchronization controller design for a class of time delay uncertain chaotic systems. Chaos Solitons Fractals 41, 2716–2724 (2002)

Gan, Q.: Adaptive synchronization of Cohen–Grossberg neural networks with unknown parameters and mixed time-varying delays. Commun. Nonlinear Sci. Numer. Simul. 17, 3040–3049 (2012)

Li, T., Song, A., Fei, S., Guo, Y.: Synchronization control of chaotic neural networks with time-varying and distributed delays. Nonlinear. Anal. 71, 2372–2384 (2008)

Song, Q.: Design of controller on synchronization of chaotic neural networks with mixed time-varying delays. Neurocomputing 72, 3288–3295 (2009)

Wang, L., Ding, W.: Synchronization for delayed non-autonomous reaction–diffusion fuzzy cellular neural networks. Commun. Nonlinear Sci. Numer. Simul. 17, 170–182 (2012)

Yan, P., Lv, T.: Exponential synchronization of fuzzy cellular neural networks with mixed delays and general boundary conditions. Commun. Nonlinear Sci. Numer. Simul. 17, 1003–1011 (2012)

Yang, T., Yang, L., Wu, C., Chua, L.O.: Fuzzy cellular neural networks: theory. In: Proceedings of IEEE International Workshop on Cellular Neural Networks and Applications, pp. 181–186 (1996)

Yang,T., Yang, L., Wu, C., Chua, L.O.: Fuzzy cellular neural networks: applications. In: Proceedings of IEEE International Workshop on Cellular Neural Networks and Applications, pp. 225–230 (1996).

Balasubramaniam, P., Vembarasan, V., Rakkiyappan, R.: Delay-dependent robust exponential state estimation of Markovian jumping fuzzy Hopfield neural networks with mixed random time-varying delays. Commun. Nonlinear Sci. Numer. Simul. 16, 2109–2129 (2011)

Ding, W., Han, M., Li, M.: Exponential lag synchronization of delayed fuzzy cellular neural networks with impulses. Phys. Lett. A 373, 832–837 (2009)

Syed Ali, M., Balasubramaniam, P.: Global asymptotic stability of stochastic fuzzy cellular neural networks with multiple discrete and distributed time-varying delays. Commun. Nonlinear Sci. Numer. Simul. 16, 2907–2916 (2011)

Wang, L., Ding, W., Chen, D.: Synchronization schemes of a class of fuzzy cellular neural networks based on adaptive control. Phys. Lett. A 374, 1440–1449 (2010)

Yu, F., Jiang, H.: Global exponential synchronization of fuzzy cellular neural networks with delays and reaction–diffusion terms. Neurocomputing 74, 509–515 (2011)

Balasubramaniam, P., Syed Ali, M., Arik, S.: Global asymptotic stability of stochastic fuzzy cellular neural networks with multiple time-varying delays. Expert Syst. Appl. 37, 7737–7744 (2010)

Blythe, S., Mao, X., Liao, X.: Stability of stochastic delay neural networks. J. Franklin Inst. 338, 481–495 (2001)

Chen, L., Wu, R., Pan, D.: Mean square exponential stability of impulsive stochastic fuzzy cellular neural networks with distributed delays. Expert Syst. Appl. 38, 6294–6299 (2011)

Huang, Z., Yang, Q., Cao, J.: Stochastic stability and bifurcation analysis on Hopfield neural networks with noise. Expert Syst. Appl. 38, 10437–10445 (2011)

Gu, H.: Adaptive synchronization for competitive neural networks with different time scales and stochastic perturbation. Neurocomputing 73, 350–356 (2009)

Liang, J., Wang, Z., Liu, R., Liu, X.: Robust synchronization of an array of coupled stochastic discrete-time delayed neural networks. IEEE Trans. Neural Netw. 19, 1910–1921 (2008)

Wang, Z., Wang, Y., Liu, R.: Global synchronization for discrete-time stochastic complex networks with randomly occurred nonlinearities and mixed time delays. IEEE Trans. Neural Netw. 21, 11–25 (2010)

Xia, Y., Yang, Z., Han, M.: Lag synchronization of unknown chaotic delayed Yang–Yang-type fuzzy neural networks with noise perturbation based on adaptive control and parameter identification. IEEE Trans. Neural Netw. 20, 1165–1180 (2009)

Gopalsamy, K.: Stability and Oscillations in Delay Differential Equations of Population Dynamics. Kluwer Academic Publishers, Dordrecht (1992)

Gopalsamy, K.: Leakage delays in BAM. J. Math. Anal. Appl. 325, 1117–1132 (2007)

Peng, S.: Global attractive periodic solutions of BAM neural networks with continuously distributed delays in the leakage terms. Nonlinear. Anal. RWA 11, 2141–2151 (2010)

Li, X., Cao, J.: Delay-dependent stability of neural networks of neutral type with time delay in the leakage term. Nonlinearity 23, 1709–1726 (2010)

Li, X., Fu, X., Balasubramaniam, P., Rakkiyappan, R.: Existence, uniqueness and stability analysis of recurrent neural networks with time delay in the leakage term under impulsive perturbations. Nonlinear. Anal. RWA 11, 4092–4108 (2010)

Li, X., Rakkiyappan, R., Balasubramaniam, P.: Existence and global stability analysis of equilibrium of fuzzy cellular neural networks with time delay in the leakage term under impulsive perturbations. J. Franklin Inst. 348, 135–155 (2011)

Balasubramaniam, P., Nagamani, G., Rakkiyappan, R.: Passivity analysis for neural networks of neutral type with Markovian jumping parameters and time delay in the leakage term. Commun. Nonlinear Sci. Numer. Simul. 16, 4422–4437 (2011)

Balasubramaniam, P., Vembarasan, V., Rakkiyappan, R.: Leakage delays in T–S fuzzy cellular neural networks. Neural Process. Lett. 33, 111–136 (2011)

Li, C., Huang, T.: On the stability of nonlinear systems with leakage delay. J. Franklin Inst. 346, 366–377 (2009)

Gu, K.: An integral inequality in the stability problem of time-delay system. In: Processings of 39th IEEE Conference on Decision and Control, pp. 2805–2810 (2000)

Tang, Y., Fang, J.: Robust synchronization in an array of fuzzy delayed cellular neural networks with stochastically hybrid coupling. Neurocomputing 72, 3253–3262 (2009)

Wang, Y., Cao, J.: Synchronization of a class of delayed neural networks with reaction–diffusion terms. Phys. Lett. A 369, 201–211 (2007)