Criteria for dichotomy and gradient-like behavior of a class of nonlinear systems with multiple equilibria

This paper considers global properties of a class of nonlinear systems with infinite equilibria. Time-domain and frequency-domain criteria for dichotomy and gradient-like behavior are established. Similar to the sector condition in absolute stability problems, the bounded derivative condition of nonlinear functions can be used to reduce the conservativeness of the given criteria. Compared with the frequency-domain conditions, the time-domain inequalities can be solved easily by linear matrix inequality (LMI) toolbox and used to discuss controller design problems. Several examples are given to illustrate the effectiveness of the results.     

基于二分法优化理论矿体开采安全顶板厚度的预测研究

安全顶板厚度是顶板达到临界破坏状态时对应的厚度,采用二分法优化理论,对冶山铁矿下部盲矿体开采留设不同厚度尺寸的顶柱进行了模拟,得到了较为精确的安全顶板厚度,在保证矿体安全回采的同时最大限度地回收了矿产资源。     

On nonparametric prediction of linear processes

Abstract.  We consider nonparametric prediction problem for both short- and long-range-dependent linear processes. Asymptotic properties of local linear estimates are obtained and, for long-range-dependent processes, an interesting dichotomous phenomenon is described: the limiting distribution depends on the interplay between the strength of the dependence and the magnitude of the bandwidth. A simulation study is carried out to assess the performance of the nonparametric prediction estimator.     

基于PIC单片机的TCD1702C数据采集系统

图象传感器CCD在电子技术领域的应用日益广泛。本文介绍了基于PIC16F877A单片机的TCD1702C的数据采集系统,包括TCD1702C驱动电路、二值化信号处理电路及计数器法数据采集接口电路。TCD1702C驱动脉冲稳定,二值化信号处理电路简单,计数法数据采集电路可提供可靠的窗口信号,并对数据脉冲进行计数,因此可广泛地应用于目标物尺寸及位移测量。     

考虑垫底气回收价值及资金时间价值的盐穴型地下储气库储气费计算方法

我国的地下储气库(以下简称储气库)与油气管道捆绑运营,没有单独的定价机制,计算储气库储气费时也未充分考虑资金的时间价值及油气藏型、盐穴型储气库垫底气的回收价值,导致计算结果的准确性欠佳。未来储气库实行独立、市场化运营是必然趋势,因而需要建立一种符合我国储气库运营模式的储气费定价机制。为此,以国内某盐穴型储气库建设投资项目为例,采用二分法建立了一种考虑垫底气可回收的储气费计算模型,计算出该储气库在不同内部收益率下的储气费,并分析了影响储气费的主要因素。结果表明:(1)当储气费为1.02元/m~3时,可满足内部收益率8%的要求;(2)在盐穴储气库工作气量确定的情况下,年储转次数(储气库年实际注采气量与年设计工作气量的比值)是影响储气费的最重要因素,地下及地面工程等建设投资的影响次之,而经营成本的影响最小;(3)在储转次数大于1.4时,盐穴储气库注采运行的工作效率达到最大,建议将盐穴储气库的储转次数设定为1.4。结论认为:该储气费计算方法在保证能获得一定利润的前提下,充分考虑了资金的时间价值以及垫底气的回收价值,计算得到的储气费较为合理,可推广到类似盐穴型储气库的应用计算。     

基于二分校准的混合型数字脉宽调制器

提出了一种基于混合型数字脉宽调制器(HDPWM)的带延迟线二分法校准机制的新电路结构,能有效地提高DPWM的线性度。详细介绍了混合型DPWM的工作原理,阐述了基于二分法机制的自校准电路的整体结构。分析了该结构的后仿真结果,并与带延迟锁相环(DLL)结构的DPWM的后仿真结果相比较。在32 MHz的时钟下,该电路成功实现了开关频率为2 MHz的数字DC-DC变换器中的9-bit DPWM。该电路基于0.13μm 1.2V CMOS工艺实现,最大差分非线性(DNL)仅为0.136 LSB,积分非线性(INL)为0.15 LSB。     

Complexity of Clausal Constraints Over Chains

We investigate the complexity of the satisfiability problem of constraints over finite totally ordered domains. In our context, a clausal constraint is a disjunction of inequalities of the form x≥d and x≤d. We classify the complexity of constraints based on clausal patterns. A pattern abstracts away from variables and contains only information about the domain elements and the type of inequalities occurring in a constraint. Every finite set of patterns gives rise to a (clausal) constraint satisfaction problem in which all constraints in instances must have an allowed pattern. We prove that every such problem is either polynomially decidable or NP-complete, and give a polynomial-time algorithm for recognizing the tractable cases. Some of these tractable cases are new and have not been previously identified in the literature.     

互不相同随机整数序列的快速选取算法(FSR) 研究

研究互不相同的随机整数序列的选取算法是一个非常重要的课题.这里我们给出了一种采用二分技术的互不相同的随机整数快速选取策略(FSR),并证明了采用该算法在某一区间(M,N)内选取R个互不相同的随机整数所需的步长仅为O[log2R],其随机周期达到(N-M-1)!/(N-M-1-R)!,而经典算法所需的步长为R,其随机周期仅为(N-M-1).     

Design of controller for a class of pendulum-like system guaranteeing dichotomy

In this paper the problems of controller design for a class of nonlinear pendulum-like control system with multiple equilibria guaranteeing dichotomy and gradient-like property of the closed-loop systems are investigated. By applying KYP-lemma and some results of positive real control the method of controller design based on linear matrix inequality is proposed.