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1·The problem is changed to solving the linear inequality group with two unknown, thus, we can get the optimal solution by the computer.

从而使问题转化成求解二元线性不等式组的问题，为此可方便地借助计算机求出最佳结果。

2·We propose a new trust region algorithm for special linear inequality constrained optimization problems with nonnegative bound constraints.

对一类带有非负边界约束的线性不等式约束优化问题进行了研究，提出了一种新的信赖域算法。

3·We present an affine scaling trust region algorithm with interior back - tracking and subspace techniques for nonlinear optimizations subject to linear inequality constraints.

使用仿射变换内点回代技术的信赖域子空间算法解线性不等式约束的非线性优化问题。

4·The KKT conditions of a nonlinear programming with linear inequality constrains can be transformed into a system of equations by NCP function. Then it is smoothed by Entropy smoothing function.

带不等式约束的非线性规划，其KKT条件可以通过NCP函数转化为一个非光滑的方程组，然后用熵光滑化函数光滑化，得到一个带参数的方程组。

5·Based on the linear matrix inequality (LMI) approach, the system fault diagnosis problem can be solved by using the systems robust stability analysis method.

基于线性矩阵不等式(LMI)的方法，将故障检测问题转化为系统鲁棒稳定性的分析问题。

6·In this paper, we give a relation between constrains with equality and inequality, and have solved the possibilistic Linear programme problems.

本文给出了等式约束与不等式约束的关系定理，解决了带等式约束的可能性线性规划问题。

7·By the alternative theorem, the optimality conditions of vector extremum problems with generalized inequality constraint are established in linear space.

运用此定理，在线性空间中建立了带广义不等式约束的向量极值问题的最优性条件。

8·This paper discusses problems arising in system and control theory to a few standard convex optimization problems involving linear matrix inequality (LMI).

本文研究了出现在系统与控制理论中的一些标准的、包含线性矩阵不等式的凸优化问题。

9·To enhance the performance of dynamic systems, a design method of robust output-feedback controller based on the linear matrix inequality technique was proposed.

为提高动态系统的性能，提出了一种基于线性矩阵不等式技术的鲁棒输出反馈控制器设计方法。

10·Based on LMI (linear matrix inequality) method and convex combination technique, the problem of robust stabilization for a class of uncertain switched systems with nonlinear disturbance is studied.

基于线性矩阵不等式(LMI)方法和凸组合技术，研究一类带有非线性扰动的不确定切换系统的鲁棒镇定问题。