检索结果-内蒙古大学图书馆

Some new extragradient-like methods for generalized equilibrium problems, fixed point problems and variational inequality problems

引用

OPTIMIZATION METHODS & SOFTWARE 2010年第5期25卷 677-698页

作者： Peng, Jian-Wen Yao, Jen-Chih Natl Sun Yat Sen Univ Kaohsiung Dept Appl Math Kaohsiung 804 Taiwan Chongqing Normal Univ Coll Math & Comp Sci Chongqing 400047 Peoples R China

In this paper, we introduce two iterative schemes by extragradient-like methods for finding a common element of the set of solutions of a generalized equilibrium problem, the set of fixed points of an infinite family of nonexpansive mappings and the set of solutions of the variational inequality for a monotone, Lipschitz-continuous mapping in a Hilbert space. We obtain a strong convergence theorem and a weak convergence theorem for the sequences generated by these processes. Based on these two results, we also get some new and interesting results. The results in this paper generalize and extend some well-known strong convergence theorems and weak convergence theorems in the literature.

关键词： generalized equilibrium problem extragradient-like method nonexpansive mapping monotone mapping variational inequality strong convergence weak convergence fixed point

来源：评论

学校读者我要写书评

暂无评论

Optimization of Hybrid Mechanical Systems

Optimization of Hybrid Mechanical Systems

引用

2010 IEEE international conference on Industrial Technology (ICIT 2010)

作者： V. Azhmyakov R.A. Garrido Moctezuma A.E. Gil Garcia Departamento de Control Automatico CINVESTAV A.P. 14-740 Av. Instituto Politecnico Nacional No. 2508 C.P. 07360 Mexico D.F. Mexico

ISBN: (纸本)9781424456956

This paper deals with multiobjective optimization techniques for a class of hybrid optimal control problems in mechanical systems. We deal with a general nonlinear hybrid control systems described by boundary-value problems associated with hybrid-type Euler-Lagrange or Hamilton equations. The variational structure of the corresponding solutions makes it possible to reduce the original "mechanical" problem to an auxiliary multiobjective programming reformulation. This approach motivates possible applications of theoretical and computational results from multiobjective optimization related to the original dynamical optimization problem. We consider first order optimality conditions for optimal control problems governed by hybrid mechanical systems and also discuss some conceptual algorithms.

关键词： Mechanical systems Optimal control Gas insulated transmission lines nonlinear control systems Control systems Automatic control Constraint optimization nonlinear equations Switched systems Cost function

来源：评论

学校读者我要写书评

暂无评论

One- and Two-Level Domain Decomposition Methods for nonlinear Problems

One- and Two-Level Domain Decomposition Methods for Nonlinea...

引用

1st international conference on Parallel, Distributed and Grid Computing for Engineering

作者： Badea, L. Romanian Acad Inst Math Bucharest Romania

ISBN: (纸本)9781905088294

In this paper we synthesize the results in [1] - [6] concerning the convergence rate of the one- and two-level methods for some nonlinear problems: nonlinear variational inequalities, inequalities with contraction operators, variational inequalities of the second kind and quasi-variational inequalities. Also, we verify that the convergence rates obtained by numerical tests are really in concordance with the theoretical ones. We comparatively illustrate the convergence rates of the one- and two-level methods by numerical experiments for the solution of the two-obstacle problem of a nonlinear elastic membrane.

关键词： domain decomposition methods nonlinear variational inequalities fixed-point problems quasi-variational inequalities multigrid and multilevel methods contact problems with friction nonlinear obstacle problems

来源：评论

学校读者我要写书评

暂无评论

Improving convergence of scalable FETI-DP for contact problems

Improving convergence of scalable FETI-DP for contact proble...

引用

12th international conference on Civil, Structural and Environmental Engineering Computing, CC 2009

作者： Horák, D. Dostál, Z. Department of Applied Mathematics Faculty of Electrical Engineering and Computer Science VŠB-Technical University Ostrava Czech Republic

ISBN: (纸本)9781905088300

This paper describes modifications of FETI-DP for coercive variational inequalities as the usage of corner nodes on the contact interface through the additional condition that preserves the nonpenetration in Lagrange multipliers and extension of lumped preconditioner. The corner mesh on the contact interface results in better convergence of the method for both systems - unpreconditioned and preconditioned one, because of better error propagation across the nonlinear interface and because of preconditioning of nonlinear steps. © Civil-Comp Press, 2009.

关键词： Quadratic programming

来源：评论

学校读者我要写书评

暂无评论

A Two-Stage Step Size Rule on Improved Prediction-Correction Method for Monotone nonlinear variational inequalities

A Two-Stage Step Size Rule on Improved Prediction-Correction...

引用

2nd international Joint conference on Computational Sciences and Optimization

作者： Shao, Hu Wang, Guodong China Univ Min & Technol Sch Sci Xuzhou 221116 Jiangsu Peoples R China

ISBN: (纸本)9780769536057

This paper proposes a two-stage step size rule for monotone nonlinear variational inequality (VI) problems to further extend the improved prediction-correction (PC) method. The improved PC method is one of the most popular methods for solving the monotone VI problem due to its simplicity and efficiency. To obtain a more exact and efficient step size in the proved PC method, the step size is calculated by two stages. The first stage is the prediction stage, in which the original step size rule in improved PC method is adopted The second stage is the correction stage, in which the result in the prediction stage is used to achieve a more exact step size. The deduction of the two-stage step size rule is given. Numerical examples indicate that the improved PC method with the two-stage step size rule can save the CPU time compared with that without the two-stage step size rule.

关键词： Numerical methods

来源：评论

学校读者我要写书评

暂无评论

Stability analysis and H∞ decentralized control for discrete-time nonlinear large-scale systems via fuzzy control approach

Stability analysis and H∞ decentralized control for discret...

引用

6th international conference on Fuzzy Systems and Knowledge Discovery, FSKD 2009

作者： Ou, Ou Hui, Qin Zhang, Hongbin College of Information Engineering Chengdu University of Technology Chengdu 610059 China School of Electronic Engineering University of Electronic Science and Technology of China Chengdu 610054 China

ISBN: (纸本)9780769537351

This paper is concerned with stability analysis and H∞ decentralized control of discrete-time nonlinear large-scale systems via fuzzy control approach. Each of them consists J interconnected discrete-time nonlinear subsystems. First, the discrete-time nonlinear large-scale system is represented by an equivalent Takagi-Sugeno discrete-time fuzzy large-scale model. Next, based on this fuzzy large-scale model, a sufficient condition on stability of the discrete-time non-linear large-scale system is proposed. Furthermore, H∞ disturbance attenuation performance is analyzed and a state feedback decentralized fuzzy control scheme is developed to override the external disturbances such that the H∞ disturbance attenuation performance is achieved and the stability of the discrete-time nonlinear large-scale systems is also guaranteed. All these results are characterized in terms of a linear matrix inequalities (LMIs), which can be solved efficiently in practice by convex programming technique. The design method is illustrated by application to the problem of balancing double-inverted pendulums system. © 2009 IEEE.

关键词： Fuzzy control

来源：评论

学校读者我要写书评

暂无评论

More Illustrative Investigation on Window-Shaped Obstacle Avoidance of Robot Manipulators Using a Simplified LVI-Based Primal-Dual Neural Network

More Illustrative Investigation on Window-Shaped Obstacle Av...

引用

IEEE international conference on Mechatronics and Automation

作者： Zhang, Yunong Pan, Ziheng Li, Kene Guo, Dongsheng Sun Yat Sen Univ Sch Informat Sci & Technol Guangzhou 510275 Guangdong Peoples R China

ISBN: (纸本)9781424426928

One important issue in the motion planning of kinematic redundant manipulators is the online obstacle-avoidance. For such purposes, we proposed and unified the scheme formulation based on general quadratic-programs (QP), which incorporates physical constraints such as joint physical limits and collision-avoidance inequality. In this paper, a simplified primal-dual neural network based on linear variational inequalities (LVI) is presented for the real-time solution of such a collision-free inverse-kinematic planning scheme. The neural network solves the strictly-convex QP in an inverse-free manner, in addition to the simple piecewise-linear dynamics and global exponential convergence to optimal solutions. Further computer-simulations based on PA10 redundant robot manipulator substantiate the efficacy of the scheme formulation and its neural-network solver on window-shaped obstacle avoidance.

关键词： Simplified LVI-based primal-dual neural network obstacle avoidance quadratic programming (QP) redundant robot manipulators

来源：评论

学校读者我要写书评

暂无评论

On generalized variational inequalities

引用

JOURNAL OF GLOBAL OPTIMIZATION 2009年第4期43卷 503-511页

作者： Fakhar, M. Zafarani, J. Univ Isfahan Dept Math Esfahan 81745163 Iran Inst Studies Theoret Phys & Math IPM Tehran Iran Sheikhbahaee Univ Esfahan 81745163 Iran

We obtain a new version of the minimax inequality of Ky Fan. As an application, an existence result for the generalized variational inequality problem with set-valued mappings defined on noncompact sets in Hausdorff topological vector spaces is given. Also, some existence results for the generalized variational inequality problem for quasimonotone and pseudomonotone mappings are obtained.

关键词： Fan's KKM theorem Minimax inequality variational inequality

来源：评论

学校读者我要写书评

暂无评论

A Two-Stage Step Size Rule on Improved Prediction-Correction Method for Monotone nonlinear variational inequalities

A Two-Stage Step Size Rule on Improved Prediction-Correction...

引用

The Second international Joint conference on Computational Science and Optimization(CSO 2009)(2009 国际计算科学与优化会议)

作者： Hu SHAO Guodong WANG School of Sciences China University of Mining and Technology Xuzhou Jiangsu 221116 China

This paper proposes a two-stage step size rule for monotone nonlinear variational inequality (VI) problems to further extend the improved prediction-correction (PC) method. The improved PC method is one of the most popular methods for solving the monotone VI problem due to its simplicity and efficiency. To obtain a more exact and efficient step size in the proved PC method, the step size is calculated by two stages. The first stage is the prediction stage, in which the original step size rule in improved PC method is adopted. The second stage is the correction stage, in which the result in the prediction stage is used to achieve a more exact step size. The deduction of the two-stage step size rule is given. Numerical examples indicate that the improved PC method with the two-stage step size rule can save the CPU time compared with that without the two-stage step size rule.

关键词： Transportation Mathematics Optimization methods Convergence Helium Economic forecasting Traffic control Mathematical model Equations

来源：评论

学校读者我要写书评

暂无评论

Robust Model Predictive Control for Fuzzy Systems Subject to Actuator Saturation

Robust Model Predictive Control for Fuzzy Systems Subject to...

引用

international conference on Fuzzy Systems and Knowledge Discovery (FSKD)

作者： Ji-wei Wen Fei Liu Institute of Automation Jiangnan University Wuxi China

In this paper, a robust fuzzy model predictive control (MPC) scheme is presented for a class of discrete-time nonlinear systems which can be described by uncertain T-S fuzzy models subject to actuator saturation. The system uncertainties under consideration are assumed to be time-varying and norm-bounded. A sufficient condition of minimizing upper bound of the cost function and asymptotical stability of the closed-loop system is established based on Lyapunov function. The proposed controller is obtained by using semi-definite programming (SDP) which can be easily solved by means of linear matrix inequalities (LMIs). Finally, a numerical example is given to verify the feasibility and efficiency of the proposed method.

关键词： Robust control Predictive models Predictive control Fuzzy systems Actuators Fuzzy control nonlinear systems Uncertainty Time varying systems Sufficient conditions

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：