Intersection theorems, existence theorems for solution of inequality system on FC-spaces FC-空间上的相交定理,不等式系解的存在定理
In this thesis, first, we employ the fixed point theorem to establish the existence of solution of a class of generalized vector quasi-variational-like inequality over product sets. 本文首先研究了一类积集上的广义向量拟类变分不等式问题,使用不动点定理给出了它的解的存在性结果。
A new minimax inequality theorem is established, which will be used to study the existence problem of solution for a new class of generalized bi-quasi-variational inequality. 建立了一个新的极大极小不等式,并利用它研究了仿紧集上一类新型广义双拟变分不等式解的存在性问题。
Minimal essential set of the solution set of quasi-variational inequality and its applications 拟变分不等式解集的极小本质集及应用
The Solution of Continuous Function and Inequality 连续函数与不等式的解法
The Existence and Uniqueness of Solution of Boundary Variational Inequality for Contact Problem 接触问题边界变分不等式解的存在唯一性
The solution of PWM optimization under inequality restriction with gradient method 用梯度法求解不等式约束下的电流逆变器(PWM)的最优化问题
Therefore, from the theoretical point of view, a solution of the inequality constrained problem and the corresponding values of the Lagrange multipliers can be found by the well known method of multipliers which resort to the unconstrained minimization of the augmented Lagrangian function presented. 因此,从理论上讲,采用该文给出的增广Lagrange函数作为辅助函数的乘子法,可以求得不等式约束非线性规划问题的最优解和对应的Lagrange乘子。
A Solution of Linear Inequality Set 线性不等式组的一种解法
Then the optimal guaranteed cost controller is given via the solution of the convex optimization problem based on the matrix inequality. A corresponding convex optimization problem is formulated to design the optimal H_ ∞ controller which can be solved by LMI in Matlab. 建立了一个具有线性矩阵不等式约束的凸优化问题,利用Matlab软件中的LMI工具箱求解,给出H∞最优控制器的设计方法。
And then, for uncertainty linear continuous model, a guaranteed cost robust PID control method has been designed. Through solution a convex optimal problem of linear matrix inequality, the optimal parameters of PID controller have been obtained. 然后,针对不确定压电智能梁的线性连续模型设计了一种保成本鲁棒PID控制方法,将PID控制器的参数整定问题转化为线性矩阵不等式凸优化问题的求解。
In this paper, we study sensitivity analysis of the locally unique solution of a parametric variational inequality in a Hilbert space without assuming differentiability of the given data by establishing the equivalence of a parametric variational inequality and a parametric Wiener-Hopf equation. 本文在所给函数和映射均不可微的前提下,通过建立参数变分不等式和参数Wiener-Hopf方程的等价性,分析了Hilbert空间中参数变分不等式的局部唯一解的灵敏性。
Non-existence of eventually positive solution of difference inequality with several delay quantities 多滞量差分不等式最终正解的不存在性
The optimal cost is explicitly obtained as the smoothest solution of a Quasi Variational Inequality derived from the optimal principle of Dynamic Programming. The optimal ( s, S) policy is determined as the unique solution of a system of algebraic equations. 本文由动态规划的最优性原理导出了最优费用所满足的拟变分不等式,并最终得出了最优费用的解析表达式和确定出最优(s,S)订货策略所满足的代数方程。
The Nontrivial Solution of Second Order Variational Inequality 一类二阶变分不等式的非平凡解
The first is based on Robust control. The solution of two Riccati equation is conversed into linear matrix inequality ( LMI) by which the problem that there exists coupling between two Riccati equations and depending on parameter adjusting is solved. 第一种是基于鲁棒控制,通过求解LMI矩阵不等式,解决了两个Riccati方程存在耦合,求解时依赖于参数调整的问题。
Solution of COM-based inequality constraint linear programming 基于COM组件的不等式约束线性规划求解
Finally, in linear space, the concepts of vector Fritz-John saddle point and vector Kuhn-Tucker saddle point are defined, the relations among them and weak efficient solution of vector extremum problems with generalized inequality constraint are discussed. 最后,在线性空间中,定义了向量Fritz-John鞍点和向量Kuhn-Tucker鞍点,讨论了它们与带广义不等式约束的向量极值问题的弱有效解之间的关系;
The Solution of a Kind of Random Set valued Ky Fan Variational Inequality and its Application 一类随机集值KYFAN变分不等式的解及应用
Construct on the Feasible Solution Set to a Class of Linear Matrix Inequality 一类线性矩阵不等式可行解集的构造
We obtain basic solution matrix of special equations by means of analogy and obtain boundary theorem of solution for unsolvable equations by means of integral inequality and Liapunov function. 本文用类比方法求得特殊方程组的基解矩阵;对于不能求解的方程组,用积分不等式和Liapunov函数方法,得到解的有界性定理。
According to the characteristic of the solution set of fuzzy relation equation and fuzzy relation inequality, we convert the original problem to a finite number of sub-problems and solve them respectively. 根据模糊关系方程与模糊关系不等式解集的特点,我们将该类优化问题转化为有限个子问题分别进行求解。
With the proposed chaos synchronization method, this problem can be transformed into the problem of pole placement or the solution of a linear matrix inequality. 应用混沌同步方法,能够将线性系统关于执行器故障的鲁棒诊断问题转化为极点配置问题或线性矩阵不等式的求解问题。
In this paper, a new sequential system of linear equations ( SSLE) algorithm for the solution of inequality constrained optimization problems are considered. 提出一种新的序列线性方程组(SSLE)算法解非线性不等式约束优化问题。
The paper introduces the concept of minimal essential set of the solution set of quasi-variational inequality, and it is proved that there exists at least one minimal essential set of the solution set for every quasi-variational inequality ( satisfying some conditions). 引入了拟变分不等式解集的极小本质集的概念,并证明了每个拟变分不等式(满足一定条件)的解集至少存在一个极小本质集。
The basic idea of the method is to approximate the solution of variational inequalities via solving alternately a linear variational inequality with simple constraints and a well-conditioned system of nonlinear equations. A remarkable merit of the alternating direction method is that it is easy to solve sub-problems. 这种算法的基本思想是通过交替地求解一个具有简单约束的线性变分不等式及一个良态的非线性方程组来逼近变分不等式问题的解。
This method is featured by simple procedure, accurate solution of equality or inequality constraints not more than 10.No partial derivative is required and the calculations will decreased by tens or hundreds of times as compared with the conventional random test. 新方法的特点是程序简单,可以较精确地求解10维以下的等式或不等式约束问题,无需提供偏导数。
Optimal solution of Lyapunov inequality and feasibility of general linear methods Lyapunov不等式的最佳解与一般线性方法的可行性
Its solution is to found a mathematical model of fourth-order variational inequality. The key and difficulty of solving this problem is that founding its variational functional and solving method. 它的求解是建立一个四阶变分不等式的数学模型,这类问题的关键和难点是建立其变分泛函和求解方法。
By means of changing some conditions that satisfies the equation appropriately, we proved the local regularity and the local boundedness for weak solution of A-harmonic equation by using a special kind of Sobolev inequality, constructing a test function and combining with some basic inequalities. 适当的改变方程所满足的一些条件,通过构造实验函数,并结合一类特殊的Sobolev不等式和一些基本不等式,证明了A-调和方程弱解的正则性和有界性。