Tính ổn định tổng quát cho hệ thống mạng nơ-ron Cohen–Grossberg

Bouzerdoum, A.; Pattison, T.R.: Neural network for quadratic optimization with bound constraints. IEEE Trans. Neural Netw. 4(3), 293–304 (1993) Cohen, M.; Grossberg, S.: Absolute stability and global pattern formation and parallel memory storage by competitive neural networks. IEEE Trans. Syst. Man Cybern. 13(5), 815–826 (1983) Cui, B.T.; Wu, W.: Global exponential stability of Cohen-Grossberg neural networks with distributed delays. Neurocomputing. 72(1–3), 386–391 (2008) Faria, T.; Oliveira, J.J.: General criteria for asymptotic and exponential stabilities of neural network models with unbounded delays. Appl. Math. Comput. 217(23), 9646–9658 (2011) Faria, T.; Gadotti, M.C.; Oliveira, J.J.: Stability results for impulsive functional differential equations with infinite delay. Nonlinear Anal. Theory Methods Appl. 75(18), 6570–6587 (2012) Grossberg, S.: Nonlinear neural networks: principles, mechanisms, and architectures. Neural Netw. 1(1), 17–61 (1988) Hopfield, J.J.: Neural networks and physical systems with emergent collective computational abilities. Proc. Natl. Acad. Sci. 79(8), 2554–2558 (1982) Hopfield, J.J.; Tank, D.W.: Computing with neural circuits: a model. Science. 233(4764), 625–633 (1986) Kennedy, M.P.; Chua, L.O.: Neural networks for nonlinear programming. IEEE Trans. Circ. Syst. 35(5), 554–562 (1988) Kosko, B.: Neural Networks and Fuzzy Systems: A Dynamical System Approach Machine Intelligence. Prentice Hall, Englewood Cliffs (1992) Lim, J.S.: Reservoir properties determination using fuzzy logic and neural networks from well data in offshore Korea. J. Pet. Sci. Engi. 49(3–4), 182–192 (2005) Liu, X.; Jiang, N.: Robust stability analysis of generalized neural networks with multiple discrete delays and multiple distributed delays. Neurocomputing. 72(7–9), 1789–1796 (2009) Park, J.: On global stability criterion of neural networks with continuously distributed delays. Chaos Solit. Fractals. 37(2), 444–449 (2008) Ping, Z.W.; Lu, J.G.: Global exponential stability of impulsive Cohen-Grossberg neural networks with continuously distributed delays. Chaos Solit. Fractals. 41(1), 164–174 (2009) Silva, P.C.; Maschio, C.; Schiozer, D.J.: Use of neuro-simulation techniques as proxies to reservoir simulator: application in production history matching. J. Pet. Sci. Eng. 57(3–4), 273–280 (2007) Song, Q.; Cao, J.: Stability analysis of Cohen–Grossberg neural network with both time-varying and continuously distributed delays. J. Comput. Appl. Math. 197(1), 188–203 (2006) Verma, A.K., Cheadle, B.A., Routray, A., Mohanty, W.K., Mansinha, L.: Porosity and permeability estimation using neural network approach from well log data. Search Discov. Article #41276 (2014) Wang, L.: Stability of Cohen–Grossberg neural networks with distributed delays. Appl. Math. Comput. 160(1), 93–110 (2005) Wu, W.; Cui, B.T.; Lou, X.Y.: Global exponential stability of Cohen–Grossberg neural networks with distributed delays. Math. Comput Model. 47(9–10), 868–873 (2008) Xu, D.; Wang, X.: A new nonlinear integro-differential inequality and its application. Appl. Math. Lett. 22(11), 1721–1726 (2009) Xiong, W.J.; Cao, J.D.: Absolutely exponential stability of Cohen–Grossberg neural networks with unbounded delays. Neurocomputing 68(1), 1–12 (2005) Zhang, Q.; Wei, X.P.; Xu, J.: Global exponential stability of Hopfield neural networks with continuously distributed delays. Phys. Lett. A. 315(6), 431–436 (2003) Zhao, Y.; Lu, Q.; Feng, Z.: Stability for the mix-delayed Cohen–Grossberg neural networks with nonlinear impulse. J. Syst. Sci. Complex. 23(3), 665–680 (2010) Zhou, Q.; Shao, J.: Convergence of Cohen–Grossberg neural networks with delays and time-varying coefficients. Electron. J. Differ. Equ. 2008(73), 1–7 (2008)