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Convexity and convex function have extensive applications in functional analysis, optimal theory, and mathematical economy.

凸性和凸函数在不等式、泛函分析、最优理论、运筹学、控制论及数理经济学等应用数学领域都有很多应用。

Furthermore, a convex optimization problem with LMI constraints is formulated to design the optimal guaranteed cost controller.

采用线性矩阵不等式处理方法,导出了分散保性摘要能控制器的存在条件和设计方法。

Using linear matrix inequality technique and convex optimization computing, we can readily implement the synthesis of feedback control law.

反馈控制律的设计利用线性矩阵不等式技术,通过凸优化计算易于实现,最后给出了数值计算示例。

And the design of the optimal reliable guaranteed cost controller is formulated as a convex optimization problem, which can be solved by the existing convex optimization techniques .

在此基础上,通过建立和求解由一组线性矩阵不等式所表示的凸优化问题,得到最优可靠保性能控制律的设计方法。

Then, through quadratic separators, the sufficient condition of the fault tolerant controller existence can be transformed into the problem of solving some limited number of linear matrix inequalities, including each vertex of the convex polyhedron.

然后,通过二次可分原理,求解只包含关于凸多面体各顶点的有限个线性矩阵不等式,给出了容错控制器存在的充分条件。

Robust stability criteria, the design methods of robust stabilizing controller and guaranteeing certain robust performance controller for linear time-delay system with norm-bounded uncertainties or convex polyhedron uncertainties are studied in this paper by delay independent method and delay dependent method.

针对具有范数有界不确定参数和凸多面体不确定参数的线性不确定时滞系统,分别给出了它们时滞无关指定鲁棒H~∞性能约束可镇定的充分必要条件以及相应的控制器设计方法,结果以线性矩阵不等式的n浙江大学博士学位论文形式给出。

This paper presents a new optimized neural network for nonlinear convex programming problems with both quality and inequality constraints.

目的 为解决一类同时含有等式约束和不等式约束的混杂约束的非线性规划问题。

Based on the primal-dual logarithmic-barrier method, a new algorithm for convex quadratic programming with equality and non-equality constrains is discussed.

在此基础上提出了求解带有等式约束和不等式约束的凸二次规划的牛顿内点算法。

Convex programming studies the case when the objective function is convex and the constraints, if any, form a convex set.

二次规划的目标函数可以有二次条件,而设置必须指定与线性等式和不等式

As we known, the total curvature of a simple closed plane curve γ is ±2π, that is,∫γ kds =±2π, from Cauchy-Schwarz's inequality, one gets that We will use Minkowski's support function to study the stability of the above

我们将利用Minkowski支撑函数,在Hausdorff距离的意义下研究这一不等式的稳定性。

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