非线性动态系统的渐近滑态控制概述

总结和推广了非线性动态系统渐近滑态（ＡＳＭ）控制方法的若干理论成果。在相当一般的假设条件下,我们指出了可以采用连续（乃至光滑）的控制方案,将系统的状态驱往给定的滑动流形上。此外,我们还引入了基于Ｈａｍｉｌｔｏｎ－Ｊａｃｏｂｉ方程的理论方法,统一了先前得到的关于闭环系统鲁棒性分析的结果。最后我们列举了一些应用例子和研究建议。     

火力使用策略的集对分析与评价

对不确定理论──集对分析理论［１］中关于联系度的算法作了修改,给出了更有实际意义的联系度公式。应用此公式采用同异反决策分析的方法,首先对“火力使用策略”进行定性分析,把影响火力使用的７对主要矛盾看作７个集对,定义每集对的同异反三属性的测量要素。通过求各集对的联系度所在问题的解,达到择优最佳“火力使用策略”的目的,从而对战役行动起到指导或辅助决策的作用。     

舰载武器系统水平度检测与校正新方法模型

推导出舰载武器系统水平度检测与校正新方法模型,和常用水平度检测方法相比较,新方法可提高检测与校正精度及工效,特别实用于舰载武器系统水平度软件校正,有较大的实用价值     

Pseudo-monotonic interval programming

A pseudo-monotonic interval program is a problem of maximizing f(x) subject to x ε X = {x ε Rⁿ | a < Ax < b, a, b ε R^m} where f is a pseudomonotonic function on X, the set defined by the linear interval constraints. In this paper, an algorithm to solve the above program is proposed. The algorithm is based on solving a finite number of linear interval programs whose solutions techniques are well known. These optimal solutions then yield an optimal solution of the proposed pseudo-monotonic interval program.     

A note on the “value” of bounds on EVPI in stochastic programming

The existing literature concentrates on determining sharp upper bounds for EVPI in stochastic programming problems. This seems to be a problem without an application. Lower bounds, which we view as having an important application, are only the incidental subject of study and in the few instances that are available are obtained at an extremely high cost. In order to suggest a rethinking of the course of this research, we analyze the need for bounds on EVPI in the context of its significance in decision problems.     

Benders' partitioning scheme applied to a new formulation of the quadratic assignment problem

In this paper we present a new formulation of the quadratic assignment problem. This is done by transforming the quadratic objective function into a linear objective function by introducing a number of new variables and constraints. The resulting problem is a 0-1 linear integer program with a highly specialized structure. This permits the use of the partitioning scheme of Benders where only the original variables need be considered. The algorithm described thus iterates between two problems. The master problem is a pure 0-1 integer program, and the subproblem is a transportation problem whose optimal solution is shown to be readily available from the master problem in closed form. Computational experience on problems available in the literature is provided.     

A versatile scheme for ranking the extreme points of an assignment polytope

A cutting plane scheme embedded in an implicit enumeration framework is proposed for ranking the extreme points of linear assignment problems. This method is capable of ranking any desired number of extreme points at each possible objective function value. The technique overcomes storage difficulties by being able to perform the ranking at any particular objective function value independently of other objective values. Computational experience on some test problems is provided.     

光学系统失调对像差的影响

本文从改进光路的矢量追迹公式入手,给出一个包含光学系统偏心量在内的矢量追迹公式,从而编制出一种精确计算光学系统三维偏差对全像差影响的通用程序。利用这个程序可以得出涉及光学系统偏差对像差影响的各类问题的解答。     

Multivariate age-dependent imperfect repair

In this article we consider models of systems whose components have dependent life lengths with specific multivariate distributions. Upon failure, components are repaired. Two types of repair are distinguished. After perfect repair, a unit has the same life distribution as a new item. After imperfect repair, a unit has the life distribution of an item which is of the same age but has never failed. We study a model in which the mechanism for determining the nature of the repair is age dependent.