Based on the differential forms and exterior derivatives of fractional orders, Wu first presented the generalized Tu formula to construct the generalized Hamiltonian structure of the fractional soliton equation. We ap...Based on the differential forms and exterior derivatives of fractional orders, Wu first presented the generalized Tu formula to construct the generalized Hamiltonian structure of the fractional soliton equation. We apply the generalized Tu formula to calculate the fractional Dirac soliton equation hierarchy and its Hamiltonian structure. The method can be generalized to the other fractional soliton hierarchy.展开更多
This paper presents a robust output feedback control method for uncertain chaotic systems, which comprises a nonlinear inversion-based controller with a fuzzy robust compensator. The proposed controller eliminates the...This paper presents a robust output feedback control method for uncertain chaotic systems, which comprises a nonlinear inversion-based controller with a fuzzy robust compensator. The proposed controller eliminates the unknown nonlinear function by using a fuzzy system, whose inputs are not the state variables but feedback error signals. The underlying stability analysis as well as parameter update law design are carried out by using the Lyapunov-based technique. The proposed method indicates that the nonlinear inversion-based control approach can also be applied to uncertain chaotic systems. Theoretical results are illustrated through two simulation examples.展开更多
By means of an improved ligand-field theory,the'pure electronic' PS and the PS due to EPI of R line ofMgO:V^(2+) have been calculated,respectively.The calculated results are in very good agreement with the exp...By means of an improved ligand-field theory,the'pure electronic' PS and the PS due to EPI of R line ofMgO:V^(2+) have been calculated,respectively.The calculated results are in very good agreement with the experimentaldata.The behaviors of the pure electronic PS of R line of MgO:V^(2+) and the PS of its R line due to EPI are different.Itis the combined effect of them that gives rise to the total PS of R line,which has satisfactorily explained the experimentalresults.The mixing-degree of [t_2~2(~3T_1)e ~4T_2〉and [t_3~2 ~2E〉 in the wavefunction of R level and its variation with pressurehave been calculated and analyzed.The comparison between the feature of R-line PS of MgO:V^(2+) and that of MgO:Cr^(3+)has been made.展开更多
基金Project supported by the National Natural Science Foundation of China (Grant Nos. 11271008,61072147,and 11071159 )the Shanghai Leading Academic Discipline Project,China (Grant No. J50101)
文摘Based on the differential forms and exterior derivatives of fractional orders, Wu first presented the generalized Tu formula to construct the generalized Hamiltonian structure of the fractional soliton equation. We apply the generalized Tu formula to calculate the fractional Dirac soliton equation hierarchy and its Hamiltonian structure. The method can be generalized to the other fractional soliton hierarchy.
基金Supported by the National Program on Key Basic Research Project of China(613233)the National Natural Science Foundation of China(61771117,61531010,61271029)
文摘提出了一种基于开槽介质基底的卷绕微带线慢波结构.由于金属曲折微带线印制在介质基底的半圆形槽中,这种卷绕微带线慢波结构非常适合圆形电子注行波管,从而使得采用这种新型慢波结构的行波管可以利用传统的周期永磁磁场进行聚焦.文章对提出的卷绕微带线慢波结构的色散特性,耦合阻抗,传输特性及注-波互作用进行了分析.和传统的平面微带线慢波结构相比,提出的卷绕微带线慢波结构具有更低的相速、更弱的色散和更高的耦合阻抗,从而使得其适合于低电压、宽频带、小型化的毫米波行波管.将同步电压及直流电流分别设置为6 550 V及0.1 A的情况下,基于该卷绕微带线慢波结构的Ka波段行波管在35 GHz处能够输出42.32 W的功率,对应增益为26.26 dB,且均匀聚焦磁场只需0.4 T.
基金Project supported by the Young Talents Natural Science Foundation for Universities of Anhui Province,China(Grant No.2012SQRL179)
文摘This paper presents a robust output feedback control method for uncertain chaotic systems, which comprises a nonlinear inversion-based controller with a fuzzy robust compensator. The proposed controller eliminates the unknown nonlinear function by using a fuzzy system, whose inputs are not the state variables but feedback error signals. The underlying stability analysis as well as parameter update law design are carried out by using the Lyapunov-based technique. The proposed method indicates that the nonlinear inversion-based control approach can also be applied to uncertain chaotic systems. Theoretical results are illustrated through two simulation examples.
文摘By means of an improved ligand-field theory,the'pure electronic' PS and the PS due to EPI of R line ofMgO:V^(2+) have been calculated,respectively.The calculated results are in very good agreement with the experimentaldata.The behaviors of the pure electronic PS of R line of MgO:V^(2+) and the PS of its R line due to EPI are different.Itis the combined effect of them that gives rise to the total PS of R line,which has satisfactorily explained the experimentalresults.The mixing-degree of [t_2~2(~3T_1)e ~4T_2〉and [t_3~2 ~2E〉 in the wavefunction of R level and its variation with pressurehave been calculated and analyzed.The comparison between the feature of R-line PS of MgO:V^(2+) and that of MgO:Cr^(3+)has been made.
