许多控制问题都可以用线性分式变换（LFT）结构来表示。
Many control problems can be formulated in a linear fractional transformation (LFT) framework.
在高等代数的教学教研中，经常要涉及到有关分式恒等问题。
During the teaching and research of higher mathematics, we often touch upon the problems about fraction identically equal.
本文提出一个直接处理一般形式线性分式规划的算法而不需要把问题的约束条件转化为标准形式。
In this paper, the authors present an algorithm to handle linear fractional programming in the general form directly, which need not transform the constraints of the problem into the standard form.
基于决策者的线性效用函数提出了一种求解多属性决策问题的交互线性分式规划算法。
An interactive linear fractional programming algorithm is presented to solve multiple attribute decision problems based on the assumption that the decision-maker has a linear utility function.
在一定条件下，论证了集函数多目标分式规划问题与其相应的标量化问题以及鞍点问题之间的密切关系。
Under suitable conditions, we give some theorems connecting multiobjective fractional programming with set functions and its scalarization problems as well as the corresponding saddle point problems.
针对该问题，提出一种基于频响函数左矩阵分式模型的模态参数识别方法。
Focusing on this problem, a modal parameters identification algorithm based on left matrix fraction description of FRF was proposed.
研究了具有线性分式形不确定性连续广义系统的鲁棒正实性问题。
The problem of robust positive realness for continuous singular systems with linear fractional uncertainties is studied.
分式规划问题是一类被广泛研究的非线性规划问题。
Firstly, this article transform the fractional programming problem with polytope constraints to an equivalent problem.
第三节研究了一类非线性分式双层规划问题(NFBP)。
A certain nonlinear fractional bilevel programming problem (NFBP) is studied in section 3.
考虑了一类不确定离散系统的严格正实分析和设计问题，其中不确定性具有线性分式形式。
The problems of positive real analysis and synthesis for a class of uncertain discrete-time systems are considered.
本文提出两级分式规划方法求解具有约束的一类分式规划问题，建立了两级算法的理论基础。
A two-level algorithm is proposed for fractional programming problems with constraints, and its theoretical base is established.
当用应力—强度干涉理论计算断裂概率，问题归结为一维积分式的求解。
And then, by using the stress strength interference theory to calculate fracture probability is converted to resolve a one dimensional integral.
最后，通过数值实验表明，本文提出的算法对该类线性分式双层规划问题比较有效。
Finally, numerical experiments are made and the results show that the proposed algorithms in this paper for a class of linear fractional programming problem are very effective.
其次，对LFBP问题进行推广，研究一类线性分式-二次双层规划(LFQP)问题，用同样的思想方法对问题进行求解。
Secondly, as a generalization of LFBP problem, we study a class of linear fractional-quadratic bilevel programming problem (LFQP), and apply the same idea to solve this kind of problem.
其次，对LFBP问题进行推广，研究一类线性分式-二次双层规划(LFQP)问题，用同样的思想方法对问题进行求解。
Secondly, as a generalization of LFBP problem, we study a class of linear fractional-quadratic bilevel programming problem (LFQP), and apply the same idea to solve this kind of problem.
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