Stability analysis of reaction–diffusion Cohen–Grossberg neural networks under impulsive control

Cohen, 1983, Absolute stability of global pattern formation and parallel memory storage by competitive neural networks, IEEE Trans. Syst. Man Cybern., 13, 815, 10.1109/TSMC.1983.6313075 Wang, 2011, Passivity and stability analysis of reaction–diffusion neural networks with Dirichlet boundary conditions, IEEE Trans. Neural Networks, 22, 2105, 10.1109/TNN.2011.2170096 Wang, 2006, Exponential stability of delayed recurrent neural networks with Markovian jumping parameters, Phys. Lett. A, 356, 346, 10.1016/j.physleta.2006.03.078 Wang, 2005, State estimation for delayed neural networks, IEEE Trans. Neural Networks, 16, 279, 10.1109/TNN.2004.841813 Yu, 2007, An LMI approach to global asymptotic stability of the delayed Cohen–Grossberg neural network via nonsmooth analysis, Neural Networks, 20, 810, 10.1016/j.neunet.2007.07.004 Yu, 2007, Robust adaptive control of unknown modified Cohen–Grossberg neural networks with delays, IEEE Trans. Circuits Syst. II, Exp. Briefs, 54, 502, 10.1109/TCSII.2007.894427 Huang, 2011, Robust stability of delayed fuzzy Cohen–Grossberg neural networks, Comput. Math. Appl., 61, 2247, 10.1016/j.camwa.2010.09.037 Huang, 2007, Stability of Cohen–Grossberg neural networks with time-varying delays, Neural Networks, 20, 868, 10.1016/j.neunet.2007.07.005 Song, 2008, Stability analysis of impulsive stochastic Cohen–Grossberg neural networks with mixed time delays, Physica A, 387, 3314, 10.1016/j.physa.2008.01.079 Song, 2008, Global exponential stability of impulsive Cohen–Grossberg neural network with time-varying delays, Nonlinear Anal., 9, 500, 10.1016/j.nonrwa.2006.11.015 Song, 2006, Stability analysis of Cohen–Grossberg neural network with both time-varying and continuously distributed delays, J. Comput. Appl. Math., 197, 188, 10.1016/j.cam.2005.10.029 Yuan, 2005, An analysis of global asymptotic stability of delayed Cohen–Grossberg neural networks via nonsmooth analysis, IEEE Trans. Circuits Syst. I, Reg. Papers, 52, 1854, 10.1109/TCSI.2005.852210 Yuan, 2006, Robust stability of switched Cohen–Grossberg neural networks with mixed time-varying delays, IEEE Trans. Syst. Man Cybern. B Cybern., 36, 1356, 10.1109/TSMCB.2006.876819 Yang, 2006, Impulsive effects on stability of Cohen–Grossberg neural networks with variable delays, Appl. Math. Comput., 177, 63, 10.1016/j.amc.2005.10.032 Lu, 2005, Global exponential stability analysis of Cohen–Grossberg neural networks, IEEE Trans. Circuits Syst. II, Exp. Briefs, 52, 476, 10.1109/TCSII.2005.850451 Zhang, 2009, Global asymptotic stability and robust stability of a class of Cohen–Grossberg neural networks with mixed delays, IEEE Trans. Circuits Syst. I, Reg. Papers, 56, 616, 10.1109/TCSI.2008.2002556 Wang, 2009, Robust stability of Cohen–Grossberg neural networks via state transmission matrix, IEEE Trans. Neural Networks, 20, 169, 10.1109/TNN.2008.2009119 Li, 2009, Stability analysis on Cohen–Grossberg neural networks with both time-varying and continuously distributed delays, Nonlinear Anal., 10, 2600, 10.1016/j.nonrwa.2008.04.003 Li, 2011, Exponential stability of impulsive high-order Hopfield-type neural networks with delays and reaction–diffusion, Int. J. Comput. Math., 88, 3150, 10.1080/00207160.2011.594884 Zhao, 2006, Dynamical behaviors of Cohen–Grossberg neural networks with delays and reaction–diffusion terms, Neurocomputing, 70, 536, 10.1016/j.neucom.2005.11.009 Li, 2008, Exponential stability of impulsive Cohen–Grossberg neural networks with time-varying delays and reaction–diffusion terms, Neurocomputing, 72, 231, 10.1016/j.neucom.2008.01.009 Li, 2009, Stability analysis of impulsive Cohen–Grossberg neural networks with distributed delays and reaction–diffusion terms, Appl. Math. Model., 33, 1337, 10.1016/j.apm.2008.01.016 Wang, 2010, Global asymptotic stability of reaction–diffusion Cohen–Grossberg neural networks with continuously distributed delays, IEEE Trans. Neural Networks, 21, 39, 10.1109/TNN.2009.2033910 Wang, 2010, An LMI approach to stability analysis of reaction–diffusion Cohen–Grossberg neural networks concerning Dirichlet boundary conditions and distributed delays, IEEE Trans. Syst. Man Cybern., Part B Cybern., 40, 1596, 10.1109/TSMCB.2010.2043095 Pan, 2010, Stability criteria for impulsive reaction–diffusion Cohen–Grossberg neural networks with time-varying delays, Math. Comput. Model., 51, 1037, 10.1016/j.mcm.2009.12.004 Pan, 2011, On periodic solutions to a class of non-autonomously delayed reaction–diffusion neural networks, Commun. Nonlinear Sci. Numer. Simul., 16, 414, 10.1016/j.cnsns.2010.02.022 Chen, 2009, Dynamic analysis of reaction–diffusion Cohen–Grossberg neural networks with varying delay and Robin boundary conditions, Chaos Soliton Fractals, 42, 1724, 10.1016/j.chaos.2009.03.087 Zhang, 2011, Delay-dependent exponential stability for impulsive Cohen–Grossberg neural networks with time-varying delays and reaction–diffusion terms, Commun. Nonlinear Sci. Numer. Simulation, 16, 1524, 10.1016/j.cnsns.2010.06.023 Wan, 2008, Exponential stability of stochastic reaction–diffusion Cohen–Grossberg neural networks with delays, Appl. Math. Comput., 206, 818, 10.1016/j.amc.2008.10.002 Zhang, 2009, Robust synchronization of coupled delayed neural networks under general impulsive control, Chaos Soliton Fractals, 41, 1476, 10.1016/j.chaos.2008.06.010 Stamova, 2011, Impulsive control on global asymptotic stability for a class of impulsive bidirectional associative memory neural networks with distributed delays, Math. Comput. Model., 53, 824, 10.1016/j.mcm.2010.10.019 Stamova, 2010, Impulsive control for a class of neural networks with bounded and unbounded delays, Appl. Math. Comput., 216, 285, 10.1016/j.amc.2010.01.059 Li, 2009, Exponential stability of Cohen–Grossberg-type BAM neural networks with time-varying delays via impulsive control, Neurocomputing, 73, 525, 10.1016/j.neucom.2009.04.022 Hu, 2010, Impulsive control and synchronization for delayed neural networks with reaction–diffusion terms, IEEE Trans. Neural Networks, 21, 67, 10.1109/TNN.2009.2034318 Zhou, 2012, Global exponential stability of impulsive fuzzy Cohen–Grossberg neural networks with mixed delays and reaction–diffusion terms, Neurocomputing, 91, 67, 10.1016/j.neucom.2012.02.012 Li, 2012, Mean square exponential stability of impulsive stochastic reaction–diffusion Cohen–Grossberg neural networks with delays, Math. Comput. Simulation, 82, 1531, 10.1016/j.matcom.2011.11.007 Omatu, 1989 Leung, 1989 Schiaffino, 1982, Competition systems with Dirichlet boundary conditions, J. Math. Biol., 15, 93, 10.1007/BF00275791 Leung, 1980, Equilibria and stabilities for competing species, reaction–diffusion equations with Dirichlet boundary data, J. Math. Anal. Appl., 73, 204, 10.1016/0022-247X(80)90028-1 Lu, 2007, Robust global exponential stability for interval reaction–diffusion Hopfield neural networks with distributed delays, IEEE Trans. Circuits Syst. II, Exp. Briefs, 54, 1115, 10.1109/TCSII.2007.905357 Wang, 2012, Exponential stability of impulsive stochastic fuzzy reaction–diffusion Cohen–Grossberg neural networks with mixed delays, Neurocomputing, 89, 55, 10.1016/j.neucom.2012.01.022 Wang, 2011, Stability analysis of impulsive parabolic complex networks, Chaos Soliton Fractals, 44, 1020, 10.1016/j.chaos.2011.08.005 Lakshmikantham, 1989 Zhang, 2012, Stability of impulsive delayed reaction–diffusion Cohen–Grossberg neural networks via Hardy–Sobolev inequality, Procedia Eng., 29, 673, 10.1016/j.proeng.2012.01.022 Zhang, 2012, Novel stability criteria for impulsive delayed reaction–diffusion Cohen–Grossberg neural networks via Hardy–Poincarè inequality, Chaos Solitons Fractals, 45, 1033, 10.1016/j.chaos.2012.05.001 Boyd, 1994, vol. 15 Wang, 2010, Global synchronization for discrete-time stochastic complex networks with randomly occurred nonlinearities and mixed time-delays, IEEE Trans. Neural Networks, 21, 11, 10.1109/TNN.2009.2033599 Hu, 2012, Robust sliding mode control for discrete stochastic systems with mixed time delays, randomly occurring uncertainties, and randomly occurring nonlinearities, IEEE Trans. Ind. Electron., 59, 3008, 10.1109/TIE.2011.2168791 Wang, 2010, On robust stability of stochastic genetic regulatory networks with time-delays, IEEE Trans. Syst. Man Cybern., Part B, 40, 729, 10.1109/TSMCB.2009.2026059 Zhou, 2007, Synchronization in complex delayed dynamical networks with impulsive effects, Physica A, 384, 684, 10.1016/j.physa.2007.05.060