Dynamic behavior of discrete-time multiagent systems with general communication structures

In this paper, we discuss the dynamic behavior of networks of dynamic agents with general communication topologies. We first analyze the basic case: systems with communication topologies that have spanning trees, i.e., the systems that solve consensus problems. We establish an algebraic condition to characterize each agent's contributions to the final state. And we also study the influence of time-delays on each agent's contributions. Then, we investigate the general case: systems with weakly connected topologies. By using matrix theory, we prove that the states of internal agents will converge to a convex combination of boundary agents in the absence or presence of communication time-delays, and we also show that the coefficients of the convex combination are independent of time-delays even if the delays are time-varying. These results have broad applications in other areas, e.g., study of swarm behavior, formation control of vehicles, etc.     

6元素集合上T0拓扑总数的计算

文中证明了有限预序集与有限偏序集的一些性质,并基于有限集上的拓扑和其上预序的一一对应关系,利用这些性质通过对极小元和极大元个数进行分类讨论,以一种有别于计算机算法而又容易理解的计算方法得出6元素集合上的T₀拓扑总数为130023.     

Supramolecular architectures with ladder and lamellar topologies using metal-ligand coordination units via C–H···Cl and O–H···Cl hydrogen bonding

New Mn^II/Cu^II/Zn^II complexes [(L¹)MnCl₂] (1), [(L²)CuCl₂]·0.5H₂O (2) and [(L²)ZnCl(H₂O)][ClO₄] (3), containing (2-pyridyl)alkylamine ligands, N-methyl-N,N-bis(2-pyridylmethyl)amine (L¹) and methyl[2-(2-pyridyl)ethyl](2-pyridylmethyl)amine (L²), have been prepared and characterized, including X-ray crystallography. The most striking feature of the structures of these complexes is the formation of molecular ladder and lamellar topology through the crystal packing arrangement, determined by both strong O–H···Cl and weak (however, multiple) C–H···Cl hydrogen-bonding interactions, to maintain the neutral/cationic metal-ligand coordination units linked to each other. In 3, additional secondary interactions are observed involving coordinated solvent and the counter-ion. The results presented here demonstrate that (i) the choice of organic ligands to provide flexibility and inherent potential to participate in hydrogen-bonding interactions, (ii) the coordination geometry preferences of metal ions, (iii) the number of metal-bound chloride ion and (iv) the presence of solvent/counter-anion have a great influence on supramolecular network topology.     

血清瘦素水平在评估慢性病毒性肝炎肝纤维化程度中的意义

目的探讨血清瘦素(LEP)水平与慢性乙肝（CHB）和慢性丙肝（CHC）患者肝纤维化程度之间的关系。方法采用ELISA方法检测65例CHB、41例CHC患者血清LEP浓度，同期25例健康体检者作为对照。所有入选患者均经肝脏穿刺病理学检查评估肝纤维化程度。结果与对照组相比，CHB与CHC患者LEP水平明显增高（P＜0.05或0.01），CHB和CHC患者血清LEP水平在纤维化程度较高者均明显高于纤维化程度较低者（均P＜0.01），且CHC组血清LEP水平显著高于相同纤维化分期CHB患者（P＜0.05或0.01）。结论血清LEP水平与慢性病毒性肝炎肝纤维化程度相关，血清LEP水平可作为慢性病毒性肝炎患者肝纤维化程度监测指标之一。     

Ideal Topology on Effect Algebras

The ideals of effect algebras induce a topology on effect algebras. The operations and of effect algebras are continuous with respect to this topology.     

Strong topologies on vector-valued function spaces

Let be a real Banach space and let E be an ideal of L ⁰ over a -finite measure space (, , ). Let (X) be the space of all strongly -measurable functions f: X such that the scalar function , defined by , belongs to E. The paper deals with strong topologies on E(X). In particular, the strong topology the order continuous dual of E(X)) is examined. We generalize earlier results of [PC] and [FPS] concerning the strong topologies.     

多工况多约束下离散变量桁架结构的拓扑优化设计

提出了一个多工况下受应力、位移约束的离散变量桁架结构的拓扑优化方法，给出了结构拓扑形式变更时的约束处理方法及杆件删除策略，使基结构设计空间的维数不断降低，达到最优拓扑，避免了奇异解的出现，在算例中指出了截面离散集和位移约束对最优拓扑的影响；算例给出了满意的拓扑优化解。     

Regenerable Leptin Immunosensor Based on Protein G Immobilized Au‐Pyrrole Propylic Acid‐Polypyrrole Nanocomposite

A regenerable, labelless electrochemical immunosensor is investigated. In this work, pyrrole (Py) and pyrrole propylic acid (Pa) were co‐electropolymerized in the presence of gold nanoparticles to form a porous, conductive, stable and hydrophilic nanocomposite, followed by the covalent attachment of protein G to capture an antibody as the probe for the immunoassay. The regeneration of the sensor was achieved by rinsing the electrodes with 0.1 M glycine buffer (pH 2.7). The binding and dissociation of the antibody with protein G and optimization of the efficient immobilization were studied by impedance and optical measurements, respectively. The charge transfer resistance obtained from the impedance measurements is used to study the interaction between antibody‐protein G and antibody‐antigen. The immunosensor performance and its regenerability were evaluated by using anti‐leptin IgG as the probe protein to detect leptin in 0.01 M PBS, and its specificity was tested in 1% human serum. The leptin impedimetric immunosensor exhibits a detection dynamic range of 10–100 000 ng/mL with 10 ng/mL detection limit in 0.01 M PBS+1% serum solutions. This work proves the feasibility to make a sensitive, regenerative electrochemical immunosensor, which could be very useful for environmental control and food analysis.     

Wijsman and Hit-and-Miss Topologies of Quasi-Metric Spaces

The relationship between the Wijsman topology and (proximal) hit-and-miss topologies is studied in the realm of quasi-metric spaces. We establish the equivalence between these hypertopologies in terms of Urysohn families of sets. Our results generalize well-known theorems and provide easier proofs. In particular, we prove that for a quasi-pseudo-metrizable space (X,T) the Vietoris topology on the set P ₀(X) of all nonempty subsets of X is the supremum of all Wijsman topologies associated with quasi-pseudo-metrics compatible with T. We also show that for a quasi-pseudo-metric space (X,d) the Hausdorff extended quasi-pseudo-metric is compatible with the Wijsman topology on P ₀(X) if and only if d ^–1 is hereditarily precompact.     

On fuzzy almost continuous convergence in fuzzy function spaces

In this paper, we study the fuzzy almost continuous convergence of fuzzy nets on the set FAC(X, Y) of all fuzzy almost continuous functions of a fuzzy topological space X into another Y. Also, we introduce the notions of fuzzy splitting and fuzzy jointly continuous topologies on the set FAC(X, Y) and study some of its basic properties.