Leader-follower strategy via a sliding mode approach

In this paper, the decision making problem in continuoustime dynamic systems is considered for the situation with two decision makers and a hierarchical decision structure. The leader-follower strategy is studied. To implement the leader's strategy, we propose to use a sliding mode approach, which allows the leader to constrain the state of the system within some manifold of the state space and forces the follower to choose the strategy preferable for the leader. The corresponding sliding manifolds are derived from the classical variational problem formulation for a class of systems whose right-hand side is affine with respect to the two control inputs. Numerical examples are considered with simulations to illustrate the technique.The authors wish to express their thanks to Dr. Vadim Utkin for his helpful discussions.     

具有多个非线性项的一般Lurie直接控制系统的绝对稳定性

在本文中，依据文［８］提出的关于变元σ绝对稳定的概念，我们对具有多个 非线性项的一般Ｌｕｒｉｅ直接系统得到了绝对稳定的新的充要条件，并给出一些实用的 充分条件．一个数值例子说明了本文结果的有效性．     

A geometrical analysis of the efficient outcome set in multiple objective convex programs with linear criterion functions

This article performs a geometrical analysis of the efficient outcome setY _E of a multiple objective convex program (MLC) with linear criterion functions. The analysis elucidates the facial structure ofY _E and of its pre-image, the efficient decision setX _E . The results show thatY _E often has a significantly-simpler structure thanX _E . For instance, although both sets are generally nonconvex and their maximal efficient faces are always in one-to-one correspondence, large numbers of extreme points and faces inX _E can map into non-facial subsets of faces inY _E , but not vice versa. Simple tests for the efficiency of faces in the decision and outcome sets are derived, and certain types of faces in the decision set are studied that are immune to a common phenomenon called collapsing. The results seem to indicate that significant computational benefits may potentially be derived if algorithms for problem (MLC) were to work directly with the outcome set of the problem to find points and faces ofY _E , rather than with the decision set.     

Investigation of structure factors in dense colloidal suspensions using frequency domain photon migration: polydisperse systems

Frequency domain photon migration (FDPM) technique was employed to investigate the structure factors of dense, polydisperse colloidal suspensions. The angle-integrated structure factors, [S(q)], extracted from FDPM measurements of scattering properties at volume fractions ranging from 0.05 to 0.4, were compared with the values predicted from the polydisperse hard sphere Percus-Yevick (HSPY) model, as well as decoupling approximation (DA) and local monodisperse approximation (LMA) models that incorporated independently measured particle size information. Results show that the polydisperse HSPY model is the most suitable for accounting for particle interactions which predominantly arise from volume exclusion effects. Furthermore, the influence of size polydispersity upon [S(q)] is most significant at high volume fractions. The static structure factors at small wave vector q, S(0), were also assessed from dual wavelength FDPM measurements by using the small wave number approximation as well as the local monodisperse approximation. The measured S(0) agrees well with the values predicted by the polydisperse HSPY model.     

Phosphorus,Arsenic, Antimony,and Bismuth Multiply Bonded Systems with Low Coordination Number — Their Role as Complex Ligands

Multiply bonded systems with low coordination number (one to three) involving phosphorus and its homologues, whether isolable or generated in situ at a metal complex, are versatile ligands that can function as two-, four-, six- or eight-electron donors to transition metal fragments and that may be coordinated in η¹ (terminal), η² (side-on), edge- or face-bridging modes. The (p-p)π bonding system of the ligand is thereby rendered capable of addition and intra- or intermolecular cycloaddition reactions. Some of the polycyclic species thus generated represent novel, polydentate ligands.     

多元线性回归—同时单点沉淀滴定同时测定卤素及硫氰酸盐混合物中各组分

本文将多元线性回归分析用于单点沉淀滴定法，同时测定了卤素及硫氰酸盐混合物各组分深度，讨论了方法原理、回归方程、对１５个二元、三元及四元混合样品进行了测定，均得到满意结果。     

MULTIPLE MELTING AND CRYSTALLIZATION BEHAVIOR OF NYLON 1212

The wide-angle X-ray diffraction (WAXD) patterns of isothermally crystallized Nylon 1212 show that γ-form crystals form below 90℃ and the α-form crystals can exist above 140℃. In the temperature range of 90-140℃, the α-form and γ-form crystals coexist. Variable-temperature WAXD exhibits that the nylon 1212 γ-form does not show crystal transition on heating, while α-form isothermally crystallized at 160℃ exhibits Brill transition at a little higher than 180℃ on heating. The multiple melting behaviors of Nylon 1212 isothermally crystallized from melt come from a complex mechanism of different crystal structures, dual lamellar population and melting-recrystallization. In polarized optical microscope (POM) observations, Nylon 1212 isothermally crystallized at 175℃ shows the ringed banded spherulites. However, at temperatures below 160℃ the ringed banded image disappears, and cross-extinct spherulites are formed.     

Relative importance of secondary structure and solvent accessibility to the stability of protein mutants. A case study with amino acid properties and energetics on T4 and human lysozymes

Understanding the factors influencing the stability of protein mutants is an important task in molecular and computational biology. In this work, we have approached this problem by examining the relative importance of secondary structure and solvent accessibility of the mutant residue for understanding/predicting the stability of protein mutants. We have used hydrophobic, electrostatic and hydrogen bond free energy terms and nine unique physicochemical, energetic and conformational properties of amino acids in the present study and these parameters have been related with changes in thermal stability (DeltaTm) of all the single mutants of lysozymes based on single and multiple correlation coefficients. As expected the properties reflecting hydrophobicity and hydrophobic free energy play a major role to distinguish stabilizing and destabilizing mutants. The hydrophobic free energy due to carbon and nitrogen atoms distinguish the stability of coil and strand mutations to the accuracy of 100 and 90%, respectively. In agreement with previous results, the subgroup classification based on secondary structure and the information about its location in the structure yielded good relationship with the experimental DeltaTm. We revealed that the secondary structure information is equally or more important than solvent accessibility for understanding the stability of protein mutants. The comparison of amino acid properties with free-energy terms indicate that the energetic contribution explains the mutant stability better in coil region whereas the amino acid properties do better in strand region. Further, the combination of free energies with amino acid properties increased the correlation significantly. The present study demonstrates the importance of classifying the mutants based on secondary structure to the stability of proteins upon mutations.     

多元线性回归同时单点pH滴定法研究

本文将多元线性回归分析用于单点ＰＨ滴定中，同时测定极弱酸或碱混合物含量。对 十个五元 极弱碱混合样进行了测定，获得满意结果。