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1·The author introduce the method of applying positive semi-definite quadratic form to prove inequality by giving several examples.

通过给出几个实例，介绍了利用二次型的半正定性证明不等式的方法。

2·This paper presents a simple deduction of an inequality for heavy weighted triangles, and with it some new quadratic inequalities of three variants at any point within a triangle.

给出了大加权三角形不等式的一个简单推论，由之简捷地推导出一些新的涉及三角形内部任一点的三元二次型不等式。

3·The problem of quadratic stability and controller design for T-S fuzzy systems is studied using the linear matrix inequality(LMI)methods.

应用LMI（线性矩阵不等式）方法，研究了T-S模糊系统二次稳定性及控制器设计问题。

4·First, a new integral inequality based on quadratic terms is established.

首先，建立了一个基于二次型项的积分不等式。

5·An algorithm of successive quadratic programming (SQP) type is presented to program problems with nonlinear equality and inequality constraints.

建立非线性等式和不等式约束规划问题的一个序列二次规划(sqp)型算法。

6·A sufficient condition for quadratic stability of switched linear systems under arbitrary switching laws is presented in terms of linear matrix inequality.

讨论了一类具有非线性摄动的线性切换系统在任意切换律下的二次鲁棒稳定性问题。

7·A mathematic model of road identification problem is provided and the problem is related with a positive definite quadratic programming problem with inequality constraints.

建立了道路识别问题的数学模型并将上述问题与一个不等式约束的正定二次规划问题相联系。

8·In this paper, a modified sequential quadratic program (SQP) for inequality constrained optimization problems is presented.

本文对不等式优化问题提出了一个修正的序列二次规划算法(SQP)。

9·The linear matrix inequality (LMI) criterion is proposed when quadratic stability, disturbance attenuation and actuator input saturation problems are discussed through non-fragile state feedback.

时，提出二次稳定性，干扰抑制和致动器输入饱和的问题进行了讨论，通过非脆弱状态反馈线性矩阵不等式(LMI)的标准。

10·This paper deals with the linear-quadratic control problem with an inequality constraint on the state integration.

研究具有状态积分不等式约束的线性二次控制问题。