投入产出系统的完全需要系数矩阵的简化计算方法

对大型投入产出系统进行经济结构分析，需要考虑对投入产出系统的分解，由最终产品确定总产品，需要计算完全需要系数矩阵（I－A）^-1。由于投入产出系统的分析和计算的工作量主要集中于（I－A）^-1，本文给出了矩阵（I－A）^-1的简化计算方法，它具有非常的实际意义。     

Uncertain input data problems and the worst scenario method

An introduction to the worst scenario method is given. We start with an example and a general abstract scheme. An analysis of the method both on the continuous and approximate levels is discussed. We show a possible incorporation of the method into the fuzzy set theory. Finally, we present a survey of applications published during the last decade. This work was supported by grant 201/04/1503 from the Czech Science Foundation and by the Academy of Sciences of the Czech Republic, Institutional Research Plan No. AV0Z10190503     

A_(od)≠∞,r_(id)≠∞时比例运算电路的分析与计算

分析了两种比例运算电路在开环放大倍数Aod和差模输入电阻rid均为有限值时的闭环特性 ,导出了Avf,rif和rof的表达式     

脉冲输入毒素对具有阶段结构的单种群生存影响的研究

研究了一类小容量污染环境中脉冲输入毒素对具有阶段结构的单种群生存问题,分别找到了种群生存与灭绝的阈值,利用不等式放缩技巧,得到了种群灭绝和持久生存的充分条件.利用MATLAB数值仿真,验证了理论结果的正确性,分析了毒素输入量,毒素输入周期及种群成长时间对种群生存的影响.     

浅析几类双输入排队系统模型

从矩阵几何解的角度出发,分析了七种类型的Geom/Geom/(Geom/Geom)/H 双输入排队系统.对这几个模型进行了描述,使用拟生灭过程探讨了各类模型的矩阵结构,并给出了其状态转移概率矩阵.     

Reflection of Pulse Waves and Resonance Characteristics of Arterial Beds

The problem of axisymmetric wave flow of a viscous incompressible fluid in a system consisting of a long thin deformable tube and a terminal element that determines the conditions of wave reflection at the tube end is analyzed. An expression for the input admittance of the system is obtained and the dependence of the admittance on the system parameters is investigated. The resonant frequencies at which the admittance amplitude has extrema are found and it is shown that at these frequencies the admittance variations with variation of the terminal-element parameters are maximal. The dependence of the resonant frequency on the tube length is investigated. Possible applications of the results obtained to the hydromechanical interpretation of a novel method of pulse diagnostics are discussed.     

Propagation of converging and diverging shock waves under isothermal condition

In this article the flows of perfect gas behind converging and diverging strong shock waves under isothermal condition in the cases of spherical and cylindrical symmetry are examined. A diverging shock wave is formed by energy supply according to a power law. These waves propagate in a uniform medium at rest and all conservation laws hold at the fronts of these shock waves. It was established that in the case of converging waves for any value of the ratios of specific heats the solution of the problem under consideration exists and is unique. When the problem has more than one solution. In the case of diverging shock waves the solution exists and is unique for any from the interval and any value of power in the energy input law. Received 4 August 1996 / Accepted 28 May 1996     

一种基于混合策略的自适应多输出高斯过程响应面法

针对工程结构数值模拟常常是矢量与函数(矢量函数)混合输出的特点,提出一种基于混合策略的含索引变量的矢量高斯过程响应面法,同时提出一种设计点自适应加密方法进一步提高效率。算例显示:本文方法能够优先拾取预测误差最大的点作为加密点;真实误差全部都落在最大可能误差范围之内,最大误差1.4%~1.6%远小于预设误差限5%,验证了本文方法的有效性。     

Stability of efficiency evaluations in data envelopment analysis

Efficiency evaluations in data envelopment analysis are shown to be stable for arbitrary perturbations in the convex hulls of input and output data. Also, the corresponding restricted Lagrange multiplier functions are shown to be continuous. The results are proved using point-to-set mappings and a particular region of stability from input optimization.Research partly supported by National Science Foundation Grants, Office of Naval Research Grant, and by the Natural Sciences and Engineering Council of Canada.     

LMI Approach to Robust Delay-Dependent Mixed H 2/H ∞ Controller of Uncertain Neutral Systems with Discrete and Distributed Time-Varying Delays

The design of a robust mixed H ₂/H _∞ controller for a class of uncertain neutral systems with discrete, distributed, and input time-varying delays is considered. More precisely, the proposed robust mixed H ₂/H _∞ controller minimizes an upper bound of the H ₂ performance measure, while guaranteeing an H _∞ norm bound constraint. Based on the Lyapunov-Krasovskii functional theory, a delay-dependent criterion is derived for the existence of a desired mixed H ₂/H _∞ controller, which can be constructed easily via feasible linear matrix inequalities (LMIs). Furthermore, a convex optimization problem satisfying some LMI constraints is formulated to obtain a suboptimal robust mixed H ₂/H _∞ controller achieving the minimization of an upper bound of the closed-loop H ₂ performance measure. Finally, a numerical example is illustrated to show the usefulness of the obtained design method.The research reported here was supported by the National Science Council of Taiwan, ROC under Grant NSC 94-2213-E-507-002.