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ON APPROXIMATELY(p,q)-WRIGHT AFFINE FUNCTIONS AND INNER PRODUCT SPACES
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作者 Anna BAHYRYCZ Magdalena PISZCZEK 《Acta Mathematica Scientia》 SCIE CSCD 2016年第2期593-601,共9页
We prove, using the fixed point approach, some results on hyperstability (in normed spaces) of the equation that defines the generalization of p-Wright affine functions and show that they yield a simple characteriza... We prove, using the fixed point approach, some results on hyperstability (in normed spaces) of the equation that defines the generalization of p-Wright affine functions and show that they yield a simple characterization of the complex inner product spaces. 展开更多
关键词 HYPERSTABILITY p-Wright affine function complex inner product space fixedpoint theorem
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Robust D-stability LMI conditions of matrix polytopes via affine parameter-dependent Lyapunov functions
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作者 Pan Xiong Feng Wang +1 位作者 Xibin Cao Guangren Duan 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2013年第6期984-991,共8页
The problem of the robust D-stability analysis for linear systems with parametric uncertainties is addressed. For matrix polytopes, new conditions via the affine parameter-dependent Lyapunov function of uncertain syst... The problem of the robust D-stability analysis for linear systems with parametric uncertainties is addressed. For matrix polytopes, new conditions via the affine parameter-dependent Lyapunov function of uncertain systems are developed with the benefit of the scalar multi-convex function. To be convenient for applications, such conditions are simplified into new linear matrix inequality (LMI) conditions, which can be solved by the powerful LMI toolbox. Numerical examples are provided to indicate that this new approach is less conservative than previous results for Hurwitz stability, Schur stability and D-stability of uncertain systems under certain circumstances. 展开更多
关键词 linear uncertain system robust D-stability analysis linear matrix inequality (LMI) condition affine parameterdependent Lyapunov function matrix polytope.
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Genetic algorithmcombined with immune mechanism and its application in skill fuzzy control
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作者 武晓今 张火召 朱仲英 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2005年第3期600-605,共6页
Automation of skill fuzzy control system is an important research aspect of fuzzy control fields. It's significant for those control instances consisted in production and people's daily life. But, how to control a s... Automation of skill fuzzy control system is an important research aspect of fuzzy control fields. It's significant for those control instances consisted in production and people's daily life. But, how to control a system not movement or behavior rules but only relied on movement parameters, that problem still had not be resolved. This paper proposes a new method used a genetic algorithm based on immune mechanism to learn the degree of membership, at same time, simplifying the corresponding movement equation; its efficiency will be indicated by an example. 展开更多
关键词 immune GA affinity function problem-space and GA-space skill fuzzy control.
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Theorems of Helly's Type for Partially-closed Half-spaces
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作者 Liu Jian-Guo Guo Qi 《Communications in Mathematical Research》 CSCD 2018年第2期117-124,共8页
In this article, under quite weaker conditions, theorems of Helly’s type for(not necessarily finite) family of partially closed half-spaces are presented in both analytic and geometric forms. Examples are also provid... In this article, under quite weaker conditions, theorems of Helly’s type for(not necessarily finite) family of partially closed half-spaces are presented in both analytic and geometric forms. Examples are also provided to show that these conditions cannot be omitted in general. 展开更多
关键词 Helly's theorem partially-closed half-space affine function convex set
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Preparation and activity analysis of the divalent and tetravalent humanized V_H single domain antibody against human lung cancer
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作者 JIE PING WANG JIANG HUA YAN +2 位作者 CHANG GONG ZHANG YONG JUN WANG Guo HONG ZHUANG 《Journal of Microbiology and Immunology》 2007年第2期121-126,共6页
In order to improve the functional affinity of the humanized VH single domain antibody against human lung cancer, the genes coding the homogenous dimers dihu3D3Vn and tetramers tehu3D3VH were constructed by fusing the... In order to improve the functional affinity of the humanized VH single domain antibody against human lung cancer, the genes coding the homogenous dimers dihu3D3Vn and tetramers tehu3D3VH were constructed by fusing the SV5-Cys short peptide and p53 tetramefization structural domain gene to hu3D3VH gene via recombinant PCR technique, respectively. Then, the dihu3D3VH and tehu3D3VH genes were cloned to the prokaryotic expression vector pET-22b( + ) and expressed in E. coli BL21 (DE3). The proteins expressed were purified through Ni^2+ -affinity chromatographic column. Meanwhile, the hu3D3VH, dihu3D3VH and tehu3D3VH proteins were labeled with FTTC, and their reactivity with antigen and specificity were analyzed by immunofluorescence assay. As to their functional affinities, it was analyzed and compared by flow cytometry. The results indicated that these two genes were expressed as monomers and mainly as inclusion bodies. After purification and renaturation, there were about 50% of dimers and 70% of tetramer remaining in the protein solution. In addition, the dihu3D3VH and tehu3D3VH proteins still remained the reactivity with antigen and specificity of hu3D3VH protein, and their functional affinities were increased about 60% or 100% respectively, compared with those of hu3D3VH protein. It is evident that the functional affinity of hu3D3VH protein can be greatly improved by increasing its binding valency. 展开更多
关键词 Single-domain antibody Homogeneous polymer Valency functional affinity
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