With Poincare＇s inequality and auxiliary function applied in a class of retarded cellular neural networks with reaction-diffusion, the conditions of the systems＇ W^1,2（Ω）-exponential and X^1,2（Ω）-asmptotic sta...With Poincare＇s inequality and auxiliary function applied in a class of retarded cellular neural networks with reaction-diffusion, the conditions of the systems＇ W^1,2（Ω）-exponential and X^1,2（Ω）-asmptotic stability are obtained. The stability conditions containing diffusion term are different from those obtained in the previous papers in their exponential stability conditions. One example is given to illustrate the feasibility of this method in the end.展开更多
<正> α,ω-dichloropermethyl polysilane reacted sequentially with cyclopentadienyl sodium, n-butyl lithium and zirconium tetrachloride to produce sila-bridged dicyclopentadienyl zirconium dichlorides, (Me2Si)n(C...<正> α,ω-dichloropermethyl polysilane reacted sequentially with cyclopentadienyl sodium, n-butyl lithium and zirconium tetrachloride to produce sila-bridged dicyclopentadienyl zirconium dichlorides, (Me2Si)n(C5H4)2ZrCl2, which were hydrolyzed under basic conditions to yield the title compounds, [(Me2Si)n(C5H4)2ZrCl]2O. Their structures were characterized by elemental analyses, 1HNMR and MS. Furthermore the crystal structures of two complexes were determined by X-ray diffraction method. The crystal (n = 2) is monoclinic, space group P21/c with a= 14.268(4), b = 7.812(1), c = 31.050(5)A; β = 99.59°; Z = 4; the factor R = 0.039. The crystal (n=3) is monoclinic, space group C2 with a = 19.944(1), b = 17.117(1), c = 15.966 (1)A; β= 128.68°; Z= 4; the factor R= 0.033. The effect of sila-bridge on the structure and properties of these complexes are discussed.展开更多
基金the National Natural Science Foundation of China (Grant No. 60374023)the Natural Science Foundation of Hunan Province (Grant No. 07JJ6112)+1 种基金Scientific Research Fund of Hunan Provincial Education Department (Grant Nos. 04A012 and 07A015)the Construct Program of the Key Discipline in Hunan Province (Control Theory and Control Engineering)
文摘With Poincare＇s inequality and auxiliary function applied in a class of retarded cellular neural networks with reaction-diffusion, the conditions of the systems＇ W^1,2（Ω）-exponential and X^1,2（Ω）-asmptotic stability are obtained. The stability conditions containing diffusion term are different from those obtained in the previous papers in their exponential stability conditions. One example is given to illustrate the feasibility of this method in the end.
文摘<正> α,ω-dichloropermethyl polysilane reacted sequentially with cyclopentadienyl sodium, n-butyl lithium and zirconium tetrachloride to produce sila-bridged dicyclopentadienyl zirconium dichlorides, (Me2Si)n(C5H4)2ZrCl2, which were hydrolyzed under basic conditions to yield the title compounds, [(Me2Si)n(C5H4)2ZrCl]2O. Their structures were characterized by elemental analyses, 1HNMR and MS. Furthermore the crystal structures of two complexes were determined by X-ray diffraction method. The crystal (n = 2) is monoclinic, space group P21/c with a= 14.268(4), b = 7.812(1), c = 31.050(5)A; β = 99.59°; Z = 4; the factor R = 0.039. The crystal (n=3) is monoclinic, space group C2 with a = 19.944(1), b = 17.117(1), c = 15.966 (1)A; β= 128.68°; Z= 4; the factor R= 0.033. The effect of sila-bridge on the structure and properties of these complexes are discussed.
