Generation of minimally persistent circle formation for a multi-agent system

In this paper, two methods of generating minimally persistent circle formation are presented. The proposed methods adopt a leader-follower strategy and all followers are firstly motivated to move into the leader＇s interaction range. Based on the information about relative angle and relative distance, two numbering schemes are proposed to generate minimally persistent circle formation. Distributed control laws are also designed to maintain the desired relative distance between agents. The distinctive features of the proposed methods are as follows. First, only 2n - 3 unilateral communication links for n agents are needed during the circle formation process and thus the communication complexity can be reduced. In addition, the formation topology is kept fixed for the whole motion and achieves a self-stability property. Finally, each follower keeps a regualr interval with its neighbors and the formation converges to a uniform circle formation. Simulation results are also provided to demonstrate the effectiveness of the proposed methods.     

Consensus protocol for heterogeneous multi-agent systems: A Markov chain approach

This paper deals with the consensus problem for heterogeneous multi-agent systems. Different from most existing consensus protocols, we consider the consensus seeking of two types of agents, namely, active agents and passive agents. The objective is to directly control the active agents such that the states of all the agents would achieve consensus. In order to obtain a computational approach, we subtly introduce an appropriate Markov chain to cast the heterogeneous systems into a unified framework. Such a framework is helpful for tackling the constraints from passive agents. Furthermore, a sufficient and necessary condition is established to guarantee the consensus in heterogeneous multi-agent systems. Finally, simulation results are provided to verify the theoretical analysis and the effectiveness of the proposed protocol.     

2-巯基-5-甲基苯并咪唑振动光谱的密度泛函理论研究

本文选用密度泛函理论中的B3LYP杂化泛函,在B3LYP/6-311++G(d, p)水平下,优化了2-巯基-5-甲基苯并咪唑分子(MMBI)的结构,优化结果表明,2-巯基-5-甲苯并咪唑分子是一个近平面结构.通过频率计算,获得了2-巯基-5-甲基苯并咪唑分子(MMBI)的拉曼光谱,并和实验获得的拉曼光谱图进行了对比,实验和理论计算获得的拉曼光谱图基本上是一致的,表明本文选取的DFT理论计算方法是可靠的.结合VEDA4软件对2-巯基-5-甲基苯并咪唑分子的拉曼谱带简正振动模式进行了指认.此外,分析并讨论了2-巯基-5-甲基苯并咪唑分子(MMBI)前线轨道,HOMO和LUMO轨道能级差为4.51 eV,电子有从HOMO跃迁到LUMO的趋势.采用含时密度泛函理论(time dependent density functional theory, TDDFT)对2-巯基-5-甲基苯并咪唑分子(MMBI)的激发态进行了计算分析,计算结果表明乙醇溶剂中2-巯基-5-甲基苯并咪唑分子(MMBI)理论计算的吸收波长为226 nm, 288 nm.对研究2-巯基-5-甲基苯并咪唑分子的性质,提供了理论...     

非对称损失函数下Burr Ⅻ型分布可靠性指标的Bayes估计

本文研究了R=P(Y＜X)在两种非对称损失函数下的Bayes估计问题,其中随机变量X和Y相互独立且服从不同的Burr XII型分布.利用Lindley近似方法,获得了Bayes估计的显式近似表达式,通过随机模拟比较了不同损失函数下的Bayes估计的性质.     

Design of undercuts and dipole stabilizer rods for the CPHS RFQ accelerator

As part of the design and machining of the RFQ accelerator in the Compact Pulsed Hadron Source (CPHS) project at Tsinghua University, the design process of the undercuts and dipole stabilizer rods is presented in this paper. In particular, the relationship between the inter-vane voltage slope and the local frequency of the undercut section is described quantitatively. With the identification of modes existing in the cavity, the specific parameters are optimized by the SUPERFISH and MAFIA codes. In addition, the water-cooling requirement of the dipole stabilizer rods is briefly discussed.     

Application of Lie algebraic method to the calculation of rotational spectra for linear triatomic molecules

The Hamiltonian describing rotational spectra of linear triatomic molecules has been derived by using the dynamical Lie algebra of symmetry group U1(4) U2(4). After rovibrational interactions being considered, the eigenvalue expression of the Hamiltonian has the form of term value equation commonly used in spectrum analysis. The molecular rotational constants can be obtained by using the expression and fitting it to the observed lines. As an example, the rotational levels of v2 band for transition (02°0-0110) of molecules N2O and HCN have been fitted and the fitting root-mean-square errors (RMS) are 0.00001 and 0.0014 cm-1, respectively.     

Synchronization of chaotic systems based on adaptive observer design

The synchronizing problem of a chaotic system is investigated based on the observer design. The nonlinear section is assumed to satisfy the Lipschitz condition. Firstly, the normal observer is designed based on the known Lipschitz constant and the results are given in linear matrix inequality (LMI) form. Then a fairly simple adaptive observer is designed with the Lipschitz constant unknown. Simulations on synchronizing the Lorenz system are investigated and the results show the validity and feasibility of our main results.     

电弧炉电极位置控制系统的SIMULINK仿真研究

介绍了基于MATLAB5.2提供的仿真工具SIMULINK,对电弧炉电机位置控制系统进行建模、仿真和分析研究,首先得到了系统数学模型,用超前校正器（PD控制器）对该控制系统进行串联校正,然后用SIMULINK实现对该控制系统的全图形化功能模块结构图仿真计算,仿真结果表明,系统能得到更好的动态性能参数。     

非理想二元表面活性剂复配增效理论的进一步研究

在Rubingh与Rosen 提出非理想二元表面活性剂复配增效条件基础上,利用相分离模型和正规溶液理论,导出了体系降低表面张力的能力增效条件βs-βm<0,及最佳摩尔分数α1*、最低表面张力γ*cmc12和γ*cmc处对应的临界胶束浓度cmc*12.通过作三条γ～logc曲线或两条γ～logc曲线加上一个cmc值的方法,对C12NMe3Br～C12SO4Na、 C12NMe3Br～C8SO4N两种复配体系进行验证,计算结果与实验结果相符.     

基于遗传算法的混沌系统二自由度比例-积分-微分控制研究

二自由度比例-积分-微分(PID)控制算法简单、实用，但将其应用于复杂非线性系统控制时参数整定困难.运用改进的遗传算法进行二自由度PID控制器参数优化，参数优化的收敛速度快、准确，将其应用于Chen氏混沌系统和同步电动机混沌系统的控制中，仿真研究收到良好的控制效果. 关键词： 混沌系统 遗传算法 比例-积分-微分控制