In a very rencent paper,Lou and Cui investigated the stochastic stability of Markovian jumping Hopfield neural networks with Wiener process by LMI approach. Unfortunately,the main results derived by them are somewhat ...In a very rencent paper,Lou and Cui investigated the stochastic stability of Markovian jumping Hopfield neural networks with Wiener process by LMI approach. Unfortunately,the main results derived by them are somewhat errors. In this note we point out that global Lipschitz condition on the activation functions should be revised. Moreover,we present some improved sufficient conditions which are less conservative than those in the above paper in term of linear matrix inequality(LMI). An numerical example is given to illustrate the theory.展开更多
The title compound [HphenNO2]+NO3- has been prepared and characterized by elemental analysis, electronic absorption spectroscopy, TG/DTA, IR, 1H and 13C NMR spectro- scopy. Single-crystal X-ray structure determination...The title compound [HphenNO2]+NO3- has been prepared and characterized by elemental analysis, electronic absorption spectroscopy, TG/DTA, IR, 1H and 13C NMR spectro- scopy. Single-crystal X-ray structure determination of the title compound was also carried out. It crystallizes in monoclinic, space group Cc with a = 13.861(3), b = 10.142(2), c = 8.7320(17) ? b = 103.70(3)? C12H8N4O5, Mr = 288.22, V = 1192.6(4) 3, Z = 4, Dc = 1.605 g/cm3 , F(000) = 592, (MoK) = 0.129 mm-1, R = 0.0439, wR = 0.1125 and GOF =1.114. In the crystal lattice, the molecules create a network structure through hydrogen bonds. The second order optical non- linearity was performed by quantum chemical method, showing the title compound has higher molecular hyper polarizability value (?= 24.66×10-30 esu).展开更多
基金the National Natural Science Foundation of China (Grant No. 10771044)the Natural Science Foundation of Heilongjiang Province (Grant No. 200605).
文摘In a very rencent paper,Lou and Cui investigated the stochastic stability of Markovian jumping Hopfield neural networks with Wiener process by LMI approach. Unfortunately,the main results derived by them are somewhat errors. In this note we point out that global Lipschitz condition on the activation functions should be revised. Moreover,we present some improved sufficient conditions which are less conservative than those in the above paper in term of linear matrix inequality(LMI). An numerical example is given to illustrate the theory.
文摘The title compound [HphenNO2]+NO3- has been prepared and characterized by elemental analysis, electronic absorption spectroscopy, TG/DTA, IR, 1H and 13C NMR spectro- scopy. Single-crystal X-ray structure determination of the title compound was also carried out. It crystallizes in monoclinic, space group Cc with a = 13.861(3), b = 10.142(2), c = 8.7320(17) ? b = 103.70(3)? C12H8N4O5, Mr = 288.22, V = 1192.6(4) 3, Z = 4, Dc = 1.605 g/cm3 , F(000) = 592, (MoK) = 0.129 mm-1, R = 0.0439, wR = 0.1125 and GOF =1.114. In the crystal lattice, the molecules create a network structure through hydrogen bonds. The second order optical non- linearity was performed by quantum chemical method, showing the title compound has higher molecular hyper polarizability value (?= 24.66×10-30 esu).
