检索结果-内蒙古大学图书馆

Hopfield learning-based and non-linear programming methods for resource allocation in OCDMA networks

IET COMMUNICATIONS 2020年第12期14卷 1925-1936页

作者： Pendeza Martinez, Cristiane A. Durand, Fabio Renan Abrao, Taufik Goedtel, Alessandro Univ Tecnol Fed Parana Campus Cornelio Procopio Ave Alberto Carazzai 1640 BR-86300000 Cornelio Procopio PR Brazil Univ Estadual Londrina Dept Elect Engn Rod Celso Garcia Cid PR445POB 10-011 BR-86057970 Londrina PR Brazil

This study proposes the deployment of the Hopfield neural network (H-NN) approach to optimally assign power in optical code division multiple access (OCDMA) systems. Figures of merit such as the feasibility of solutions and complexity are compared with the classical power allocation methods found in the literature, such as sequential quadratic programming (SQP) and augmented Lagrangian method. The analysed methods are used to solve constrained non-linear optimisation problems in the context of resource allocation for optical networks, especially to deal with energy efficiency in OCDMA networks. The promising performance-complexity trade-off of the modified H-NN is demonstrated through numerical results performed in comparison with classic methods for general problems in non-linear programming. The evaluation is carried out considering challenging OCDMA networks in which different levels of service quality required were considered for large numbers of optical users. The numerical results demonstrated that the three power allocation methods attain suitable convergence for different network sizes, while both the mH-NN and SQP methods achieve suitable equilibrium with less complexity.

关键词： code division multiple access nonlinear programming resource allocation Hopfield neural nets telecommunication computing optical fibre networks quality of service general problems OCDMA networks optical users different network sizes mH-NN SQP methods Hopfield learning-based nonlinear programming methods resource allocation Hopfield neural network approach optical code division multiple access systems classical power allocation methods sequential quadratic programming Lagrangian method analysed methods nonlinear optimisation problems optical networks performance-complexity trade-off modified H-NN

来源：评论

学校读者我要写书评

暂无评论

INTEGRATED OPTIMIZATION MODELS AND PROBLEMS OF GAS PRODUCTION, DISTRIBUTION, AND STORAGE

引用

CYBERNETICS AND SYSTEMS ANALYSIS 2014年第3期50卷 445-451页

作者： Kirik, E. E. Yakovleva, A. P. Natl Tech Univ KPI Minist Educ & Sci Ukraine Inst Appl Syst Anal Kiev Ukraine Natl Acad Sci Ukraine Kiev Ukraine

The authors consider the mathematical modeling of flow distribution in gas transmission networks, which take into account the possibility of establishing reserves in underground storage resources and different operation strategies of gas companies. Taking into account the basic technical and economic prerequisites, the problem of determining the optimal production rates for gas fields is analyzed. The proposed mathematical tools are aimed at solving problems of long-term planning, but it can also be applied to the cases of operational control of gas transmission systems.

关键词： gas transmission systems gas field underground gas storage facilities mathematical models of flow distribution optimization problems nonlinear programming methods

来源：评论

学校读者我要写书评

暂无评论

Parametric sensitivity analysis of perturbed PDE optimal control problems with state and control constraints

引用

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 2006年第1期131卷 17-35页

作者： Bueskens, C. Griesse, R. Univ Bremen Ctr Tech Math Bremen Germany Austrian Acad Sci Johann Radon Inst Computat & Appl Math Linz Austria

We study parametric optimal control problems governed by a system of time-dependent partial differential equations (PDE) and subject to additional control and state constraints. An approach is presented to compute the optimal control functions and the so-called sensitivity differentials of the optimal solution with respect to perturbations. This information plays an important role in the analysis of optimal solutions as well as in real-time optimal control. The method of lines is used to transform the perturbed PDE system into a large system of ordinary differential equations. A subsequent discretization then transcribes parametric ODE optimal control problems into perturbed nonlinear programming problems (NLP), which can be solved efficiently by SQP methods. Second-order sufficient conditions can be checked numerically and we propose to apply an NLP-based approach for the robust computation of the sensitivity differentials of the optimal solutions with respect to the perturbation parameters. The numerical method is illustrated by the optimal control and sensitivity analysis of the Burgers equation.

关键词： perturbed optimal control problems control-state constraints nonlinear programming methods partial differential equations parametric sensitivity analysis

来源：评论

学校读者我要写书评

暂无评论

Higher order real-time approximations in optimal control of multibody-systems for industrial robots

引用

MULTIBODY SYSTEM DYNAMICS 2006年第1期15卷 85-106页

作者： Büskens, C Knauer, M Univ Bremen Zentrum Technomath D-28359 Bremen Germany

The multibody system of an industrial robot leads to a mathematical model described by ordinary differential equations. Control functions have to be determined to calculate robot trajectories which are optimal due to a given performance index subject to additional constraints. In order to solve such optimal control problems, computationally expensive methods exist. These methods have no real-time capability, since perturbations during the motion of the robot require a recalculation of the optimal trajectory within a time frame much smaller than the operating-time of the robot. Hence, a robust numerical method based on the parametric sensitivity analysis of nonlinear optimization problems is suggested. Optimal control approximations of perturbed optimal solutions can be obtained in real-time by evaluating a first order Taylor expansion of the perturbed solution. Successive improvements to the constraints in the direction of the optimal perturbed solution lead to an admissible solution with a higher order approximation of the objective. The proposed numerical method is illustrated by the optimal control of an industrial robot with three degrees of freedom subject to deviations in the payload and initial values.

关键词： robot control sensitivity analysis real-time control nonlinear programming methods

来源：评论

学校读者我要写书评

暂无评论

nonlinear programming methods for real-time control of an industrial robot

引用

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 2000年第3期107卷 505-527页

作者： Büskens, C Maurer, H Univ Bayreuth Fak Angew Naturwissensch Lehrstuhl Ingenieurmath Bayreuth Germany Univ Munster Inst Numer Math D-4400 Munster Germany

The optimal control of an industrial robot is considered as a parametric nonlinear control problem subject to control and state constraints. Based on recent stability results for parametric control problems, a robust nonlinear programming method is proposed to compute the sensitivity of open-loop control solutions. Real-time control approximations of the perturbed optimal solutions are obtained by evaluating first-order Taylor expansions of the optimal solutions with respect to the parameter. The proposed numerical methods are applied to the industrial robot Manutec r3. The quality of the real-time approximations is illustrated for perturbations in the transport load.

关键词： parametric nonlinear control problems control and state constraints sensitivity analysis open-loop control real-time control nonlinear programming methods robot control

来源：评论

学校读者我要写书评

暂无评论

Real-time control of robots with initial value perturbations via nonlinear programming methods

引用

Optimization 2000年第3-4期47卷 383-405页

作者： Büskens, Christof Maurer, Helmut Westfälische Wilhelms-Universität Münster Institut für Numerische Mathematik 48149 Münster Einsteinstraße 62 Germany

The mathematical model of an industrial robot with initial value perturbations is considered as a parametric nonlinear control problem subject to control and state constraints. Based on recent stability results for parametric control problems, a robust nonlinear programming method is proposed for computing the sensitivity derivatives of optimal solutions. Real-time control approximations of perturbed optimal solutions are obtained by evaluating a first order Taylor expansion of the perturbed solution. The efficiency of the real-time approximation is demonstrated for the robot model. © 2000 OPA (Overseas Publishers Association) N.V. Published by license under the Gordon and Breach Science Publishers imprint.

关键词： Control and state constraints Initial value perturbations nonlinear programming methods Parametric nonlinear control problems Real-time control Robot control Sensitivity analysis

来源：评论

学校读者我要写书评

暂无评论

SQP-methods for solving optimal control problems with control and state constraints:: adjoint variables, sensitivity analysis and real-time control

引用

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 2000年第1-2期120卷 85-108页

作者： Büskens, C Maurer, H Univ Bayreuth Lehrstuhl Ingn Math FAN D-95440 Bayreuth Germany Univ Munster Inst Numer & Instrumentelle Math D-48149 Munster Germany

Parametric nonlinear optimal control problems subject to control and state constraints are studied. Two discretization methods are discussed that transcribe optimal control problems into nonlinear programming problems for which SQP-methods provide efficient solution methods. It is shown that SOP-methods can be used also for a check of second-order sufficient conditions and for a postoptimal calculation of adjoint variables. In addition, SOP-methods lead to a robust computation of sensitivity differentials of optimal solutions with respect to perturbation parameters. Numerical sensitivity analysis is the basis for real-time control approximations of perturbed solutions which are obtained by evaluating a first-order Taylor expansion with respect to the parameter. The proposed numerical methods are illustrated by the optimal control of a low-thrust satellite transfer to geosynchronous orbit and a complex control problem from aquanautics. The examples illustrate the robustness, accuracy and efficiency of the proposed numerical algorithms. (C) 2000 Published by Elsevier Science B.V. All rights reserved.

关键词： optimal control problems control-state constraints nonlinear programming methods adjoint variables second-order sufficient conditions sensitivity analysis real-time control

来源：评论

学校读者我要写书评

暂无评论

Real-Time Control of an Industrial Robot using nonlinear programming methods

引用

IFAC Proceedings Volumes 1997年第3期30卷 203-208页

作者： Christof Büskens Helmut Maurer Westfälische Wilhelms - Universität Münster Institut für Numerische Mathematik Einsteinstrasse 62 48149 Munster Germany

Parametric nonlinear control problems subject to control and state constraints are studied. Based on recent stability results for control problems, a robust nonlinear programming method is proposed to compute the sensitivity derivatives of optimal solutions. Real-time control approximations of perturbed optimal solutions are obtained by evaluating a first order Taylor expansion of the perturbed solution. The numerical method is illustrated by the optimal control of an industrial robot subject to control and state constraints.

关键词： Parametric nonlinear control problems control and state constraints sensitivity analysis real-time control nonlinear programming methods robot control

来源：评论

学校读者我要写书评

暂无评论

ON GROWTH IN GAUSSIAN-ELIMINATION WITH COMPLETE PIVOTING

引用

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS 1991年第2期12卷 354-361页

作者： GOULD, N

It has been conjectured that when Gaussian elimination with complete pivoting is applied to a real n-by-n matrix, the maximum possible growth is n. In this note, a 13-by-13 matrix is given, for which the growth is 13.0205. The matrix was constructed by solving a large nonlinear programming problem. Growth larger than n has also been observed for matrices of orders 14, 15, and 16.

关键词： GAUSSIAN ELIMINATION GROWTH COMPLETE PIVOTING nonlinear programming methods

来源：评论

学校读者我要写书评

暂无评论

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

请选择保存的检索档案：

请选择收藏分类：

通借通还

建议与咨询 留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

请选择保存的检索档案： 新增检索档案 确定 取消

请选择收藏分类： 新增自定义分类 确定 取消

通借通还

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

请选择保存的检索档案：

请选择收藏分类：