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检索条件"任意字段=International Conference on Nonlinear Programming and Variational Inequalities"

共 270 条记录，以下是101-110 订阅

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Establishing Nash equilibrium of the manufacturer-supplier game in supply chain management

Establishing Nash equilibrium of the manufacturer-supplier g...

引用

8th international Tri-Annual conference on Optimization - Techniques and Applications (ICOTA)

作者： Ang, James Fukushima, Masao Meng, Fanwen Noda, Takahiro Sun, Jie Natl Univ Singapore Dept Decis Sci Singapore 119245 Singapore Kyoto Univ Grad Sch Informat Dept Appl Math & Phys Kyoto 6068501 Japan Natl Univ Singapore Ctr Maritime Studies Singapore 118411 Singapore

We study a game model of multi-leader and one-follower in supply chain optimization where n suppliers compete to provide a single product for a manufacturer. We regard the selling price of each supplier as a pre-determined parameter and consider the case that suppliers compete on the basis of delivery frequency to the manufacturer. Each supplier's profit depends not only on its own delivery frequency, but also on other suppliers' frequencies through their impact on manufacturer's purchase allocation to the suppliers. We first solve the follower's (manufacturer's) purchase allocation problem by deducing an explicit formula of its solution. We then formulate the n leaders' (suppliers') game as a generalized Nash game with shared constraints, which is theoretically difficult, but in our case could be solved numerically by converting to a regular variational inequality problem. For the special case that the selling prices of all suppliers are identical, we provide a sufficient and necessary condition for the existence and uniqueness of the Nash equilibrium. An explicit formula of the Nash equilibrium is obtained and its local uniqueness property is proved.

关键词： Supply chain management Leader-follower game Nash equilibrium nonlinear programming

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Passive Fuzzy Controller Design with Variance Constraint for nonlinear Synchronous Generator Systems

Passive Fuzzy Controller Design with Variance Constraint for...

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IEEE 10th international conference on Power Electronics and Drive Systems (PEDS)

作者： Chang, Wen-Jer Huang, Bo-Jyun Natl Taiwan Ocean Univ Dept Marine Engn Keelung Taiwan

ISBN: (纸本)9781467317924;9781467317900

A passive fuzzy controller design methodology is developed in this paper to achieve state variance constraint for continuous-time Takagi-Sugeno (T-S) fuzzy models. The proposed fuzzy controller is constructed by the concept of Parallel Distributed Compensation (PDC). Based on the Lyapunov theory, the sufficient conditions are derived to guarantee the stability of the closed-loop system. Besides, the passivity and variance constraints are also considered in the derivations of these sufficient conditions. These sufficient conditions belong to the Linear Matrix Inequality (LMI) forms, which can be solved by the convex optimal programming algorithm. Finally, the feasibility and validity of the proposed method are illustrated with a numerical simulation example.

关键词： Lyapunov methods closed loop systems compensation control system synthesis convex programming fuzzy control linear matrix inequalities machine control nonlinear control systems stability synchronous generators

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Control design along trajectories with sums of squares programming

Control design along trajectories with sums of squares progr...

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IEEE international conference on Robotics and Automation (ICRA)

作者： Anirudha Majumdar Amir Ali Ahmadi Russ Tedrake Computer Science and Artificial Intelligence Laboratory (CSAIL) Massachusetts Institute of Technology Cambridge MA USA Department of Business Analytics and Mathematical Sciences IBM Thomas J. Watson Research Center NY USA

ISBN: (纸本)9781467356404

Motivated by the need for formal guarantees on the stability and safety of controllers for challenging robot control tasks, we present a control design procedure that explicitly seeks to maximize the size of an invariant “funnel” that leads to a predefined goal set. Our certificates of invariance are given in terms of sums of squares proofs of a set of appropriately defined Lyapunov inequalities. These certificates, together with our proposed polynomial controllers, can be efficiently obtained via semidefinite optimization. Our approach can handle time-varying dynamics resulting from tracking a given trajectory, input saturations (e.g. torque limits), and can be extended to deal with uncertainty in the dynamics and state. The resulting controllers can be used by space-filling feedback motion planning algorithms to fill up the space with significantly fewer trajectories. We demonstrate our approach on a severely torque limited underactuated double pendulum (Acrobot) and provide extensive simulation and hardware validation.

关键词： Trajectory Polynomials Lyapunov methods Optimization programming Torque nonlinear dynamical systems

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Topology Error Identification with a Bounded-error Modeling of Measurements Uncertainty in Power System

Topology Error Identification with a Bounded-error Modeling ...

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2013 international conference on Electrical,Control and Automation Engineering(ECAE 2013)

作者： Bin WANG Guang-yu HE Bang-feng LI Tao XING Jia-xi YU Department of Electrical Engineering Tsinghua University Department of Electrical Engineering Shanghai Jiao Tong University Hainan Power Grid Corporation

This paper presents a new model to identify the topology status of power system. In the proposed model, measurement errors are unknown but belong to given bounded sets and the objective is to find a topology status which is closest to the initial topology status and consistent with the sets of measurement uncertainties. Measurement equations are linearized by redefining state variables. Mixed integer nonlinear constraints are transformed to linear inequalities. Consequently, the problem is formulated as a mixed integer quadratic constrained programming(MIQCP). Numerical tests on various systems show that the proposed formulation is accurate and computationally efficient.

关键词： Topology error identification Measurement uncertainty Mixed integer programming

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Generalized system for relaxed cocoercive and Involving projective nonexpansive mapping variational inequalities

Generalized system for relaxed cocoercive and Involving proj...

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international conference on Biotechnology, Chemical and Materials Engineering (CBCME 2011)

作者： Gui, Guanghui Su, Yongfu Cangzhou Normal Univ Dept Math Cangzhou 061001 Peoples R China Tianjin Polytech Univ Dept Math Tianjin 300160 Peoples R China

ISBN: (纸本)9783037853078

Firstly, the concept of projective nonexpansive mappings is presented in this paper. The approximate solvability of a generalized system for relaxed cocoercive and involving projective nonexpansive mapping nonlinear variational inequalities in Hilbert spaces is studied, based on the convergence of projection methods. The results presented in this paper extend and improve the main results of many authors.

关键词： Relaxed cocoercive variational inequality Projection method Relaxed cocoercive mapping Projection method

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Neural network for mixed nonlinear problems and its applications

Neural network for mixed nonlinear problems and its applicat...

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2012 international conference on Computer Science and Information Processing, CSIP 2012

作者： Nong, Jifu College of Science Guangxi University for Nationalities Nanning China

ISBN: (纸本)9781467314114

This paper presents two feedback neural networks for solving a nonlinear and mixed complementarity problem. The first feedback neural network is designed to solve the strictly monotone problem. This one has no parameter and possesses a very simple structure for implementation in hardware. Based on a new idea, the second feedback neural network for solving the monotone problem is constructed by using the first one as a subnetwork. This feedback neural network has the least number of state variables. The stability of a solution of the problem is proved. When the problem is strictly monotone, the unique solution is uniformly and asymptotically stable in the large. When the problem has many solutions, it is guaranteed that, for any initial point, the trajectory of the network does converge to an exact solution of the problem. Feasibility and efficiency of the proposed neural networks are supported by simulation experiments. Moreover, the feedback neural network can also be applied to solve general nonlinear convex programming and nonlinear monotone variational inequalities problems with convex constraints. © 2012 IEEE.

关键词： Asymptotic stability

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Disturbance Attenuation for A Class of Uncertain Polynomial Discrete-time Systems: An Integrator Approach

Disturbance Attenuation for A Class of Uncertain Polynomial ...

引用

12th international conference on Control, Automation, Robotics and Vision (ICARCV)

作者： Saat, Shakir Nguang, Sing Kiong Wu, Jie Zeng, Guangbo Univ Auckland Dept Elect & Comp Engn Auckland 92019 New Zealand S China Univ Technol Sch Elect Power Guangzhou Peoples R China

ISBN: (纸本)9781467318723;9781467318716

This paper investigates the problem of disturbance attenuation for a class of uncertain polynomial discrete-time systems with an H-infinity performance. In general, this is a difficult problem because it cannot be formulated as a convex problem. This is because the Lyapunov function and the control input is not jointly convex. Hence it cannot be solved by a semidefinite programming (SDP). In this paper, a novel approach is proposed, where an integrator is introduced into the controller structures so that a convex solution can be obtained. Furthermore, based on the sum of squares approach, sufficient conditions for the existence of a proposed nonlinear feedback controller with the integrator for a polynomial discrete-time system are given in terms of solvability of polynomial matrix inequalities (PMIs). These inequalities are then be solved by the recently developed SOS solvers. The validity of the proposed method is confirmed through a tunnel diode circuit.

关键词： H¡Þ control Lyapunov methods computability convex programming discrete time systems feedback nonlinear control systems polynomial matrices uncertain systems

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Advances in nonlinear programming: Proceedings of the 96 international conference on nonlinear programming

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2012年

作者： Yaxiang Yuan

ISBN: (纸本)9781461333371

This book contains some of the most recent results in nonlinear programming. It includes up-to-date results on trust region algorithms, interior point methods, quasi-Newton methods, conjugate gradient methods, and methods for variational problems. The work will be useful as a reference source for researchers, engineers and graduate students.

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Convergence of hybrid steepest-descent methods with wn-mapping for generalized variational inequalities

Convergence of hybrid steepest-descent methods with wn-mappi...

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2012 international conference on Computer Science and Electronics Engineering, ICCSEE 2012

作者： Chen, Xiaomin Xie, Xuping Department of Information and Computing Science Chengdu Electromechanical College Chengdu 610031 China Department of Mathematic Chengdu University of Information Technology Chengdu 610225 China

In this paper, we consider the generalized variational inequality, to obtain its convergence theorem, we introduce iterative algorithm with infinite nonexpansive mapping to find approximate solution of the GVI (F, g, ... 详细信息

ISBN: (纸本)9780769546476

关键词： nonlinear analysis

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nonlinear Robust State Feedback Control of Uncertain Polynomial Discrete-time Systems: An Integral Action Approach

Nonlinear Robust State Feedback Control of Uncertain Polynom...

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12th international conference on Control, Automation, Robotics and Vision (ICARCV)

作者： Saat, Shakir Nguang, Sing Kiong Wu, Jie Zeng, Guangbo Univ Auckland Dept Elect & Comp Engn Auckland 92019 New Zealand S China Univ Technol Sch Elect Power Guangzhou Peoples R China

ISBN: (纸本)9781467318723;9781467318716

This paper examines the problem of designing a nonlinear robust state feedback controller for uncertain polynomial discrete-time systems. In general, this is a challenging controller design problem due to the fact that the relation between Lyapunov function and the control input is not jointly convex, hence, this problem cannot be solved by a semidefinite programming (SDP). In this paper, a novel approach is proposed, where an integral action is incorporated into the controller design so that a convex solution to the problem can be rendered. Based on the sum of squares (SOS) approach, sufficient conditions for the existence of a nonlinear state feedback controller for polynomial discrete-time systems are given in terms of solvability of polynomial matrix inequalities (PMIs), which can be solved by the recently developed SOS solver. Numerical examples are provided to demonstrate the validity of this integral action approach.

关键词： control system synthesis discrete time systems mathematical programming nonlinear control systems polynomial matrices robust control state feedback uncertain systems

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