云南高校图书馆联盟文献共享服务平台- HAMILTON-JACOBI

HAMILTON-JACOBI: 作品数：42被引量：50H指数：4; 导出分析报告; 相关领域：自动化与计算机技术理学更多>>; 相关作者：杨招军罗琰李祥贵王靖华赵引川更多>>; 相关机构：西北工业大学北京理工大学华北电力大学南京审计大学更多>>; 相关期刊：《哈尔滨工业大学学报》《Science China Mathematics》《高等学校计算数学学报》《控制理论与应用》更多>>; 相关基金：国家自然科学基金广东省自然科学基金国家教育部博士点基金中国博士后科学基金更多>>

基于奇异摄动的柔性关节机械臂鲁棒控制被引量：1: 《电机与控制学报》2024年第10期193-200,共8页孟范伟旷建陈昊男付中乐; 国家自然科学基金(12162007)。; 针对柔性关节机械臂在扰动过大情况下难以实现高精确度轨迹跟踪的问题,提出一种基于奇异摄动的鲁棒控制方案。该方法不需要对连杆角加速度及其高阶导数进行计算,因此该方法不受高阶导数估计不准确的影响。首先,用奇异摄动法对原系统进...; 关键词：柔性关节奇异摄动机械臂轨迹跟踪 Hamilton-Jacobi-Issacs不等式鲁棒控制

Lax-Oleinik-Type Formulas and Efficient Algorithms for Certain High-Dimensional Optimal Control Problems: 《Communications on Applied Mathematics and Computation》2024年第2期1428-1471,共44页Paula Chen Jerome Darbon Tingwei Meng; supported by the DOE-MMICS SEA-CROGS DE-SC0023191 and the AFOSR MURI FA9550-20-1-0358;supported by the SMART Scholarship,which is funded by the USD/R&E(The Under Secretary of Defense-Research and Engineering),National Defense Education Program(NDEP)/BA-1,Basic Research.; Two of the main challenges in optimal control are solving problems with state-dependent running costs and developing efficient numerical solvers that are computationally tractable in high dimensions.In this paper,we p...; 关键词：Optimal control Hamilton-Jacobi partial differential equations Grid-free numerical methods High dimensions Field-programmable gate arrays(FPGAs)

Global Solutions to Nonconvex Problems by Evolution of Hamilton-Jacobi PDEs: 《Communications on Applied Mathematics and Computation》2024年第2期790-810,共21页Howard Heaton Samy Wu Fung Stanley Osher; partially funded by AFOSR MURI FA9550-18-502,ONR N00014-18-1-2527,N00014-18-20-1-2093,N00014-20-1-2787;supported by the NSF Graduate Research Fellowship under Grant No.DGE-1650604.; Computing tasks may often be posed as optimization problems.The objective functions for real-world scenarios are often nonconvex and/or nondifferentiable.State-of-the-art methods for solving these problems typically o...; 关键词：Global optimization Moreau envelope HAMILTON-JACOBI Hopf-Lax-Cole-Hopf Proximals Zero-order optimization

A physics-informed deep learning framework for spacecraft pursuit-evasion task assessment被引量：1: 《Chinese Journal of Aeronautics》2024年第5期363-376,共14页Fuyunxiang YANG Leping YANG Yanwei ZHU; This study was supported by the Independent Innovation Science Foundation Project of National University of Defense Technology,China(No.22-ZZCX-083).; Qualitative spacecraft pursuit-evasion problem which focuses on feasibility is rarely studied because of high-dimensional dynamics,intractable terminal constraints and heavy computational cost.In this paper,A physics-...; 关键词：Spacecraft pursuit-evasion Qualitative differential game Physics-Informed Neural Networks(PINNs) Reachability analysis Hamilton-Jacobi-Isaacs(HJI) Partial Differential Equations(PDEs)

Sparse-Grid Implementation of Fixed-Point Fast Sweeping WENO Schemes for Eikonal Equations: 《Communications on Applied Mathematics and Computation》2024年第1期3-29,共27页Zachary M.Miksis Yong-Tao Zhang; supported by the NSF Grant DMS-1620108.; Fixed-point fast sweeping methods are a class of explicit iterative methods developed in the literature to efficiently solve steady-state solutions of hyperbolic partial differential equations(PDEs).As other types of ...; 关键词：Fixed-point fast sweeping methods Weighted essentially non-oscillatory(WENO)schemes Sparse grids Static Hamilton-Jacobi(H-J)equations Eikonal equations

带有运行成本函数的Hamilton-Jacobi可达性分析: 《控制理论与应用》2022年第6期986-994,共9页廖玮梁涛涛魏小辉; 国家自然科学基金项目(51905264);国防科技卓越青年科学基金项目(2018-JCJQ-ZQ-053);中央高校基本科研业务费专项资金项目(NP2018001)资助.; 水平集方法将可达集表示为Hamilton-Jacobi方程解的零水平集,保存多个不同时间范围的可达集则需要保存Hamilton-Jacobi方程在多个时刻的解,这不仅需要消耗大量的存储空间还为控制律的设计造成了困难.针对这些局限性,提出了一种改进的基...; 关键词：可达集水平集方法 HAMILTON-JACOBI方程最优控制

Hamilton-Jacobi and Lagrange Formulations of Relativistic Quantum Mechanics Wave Equations with Solutions with Only-Positive and Only-Negative Kinetic Energies: 《Journal of Modern Physics》2022年第4期432-441,共10页Luis Grave de Peralta Arquímedes Ruiz-Columbie; Using the Hamilton-Jacobi and the Lagrange formalisms, a pair of relativistic quantum mechanics equations are obtained by abduction. These equations, in contrast with the Klein-Gordon and other relativistic quantum me...; 关键词：Quantum Mechanics Relativistic Quantum Mechanics

洛伦兹破缺理论与Vaidya黑洞弯曲时空中的Dirac粒子隧穿辐射特征被引量：2: 《物理学报》2019年第19期21-26,共6页蒲瑾杨树政林恺; 国家自然科学基金(批准号:11573022,11805166);西华师范大学英才科研基金(批准号:17YC513,17C050)~~; 本文把平直时空中的洛伦兹对称性破缺的Dirac方程推广到动态Vaidya黑洞弯曲时空中.由于动态易性质和半经典近似得到了一个新的洛伦兹对称性破缺的 Dirac-Hamilton-Jacobi方程,并利用这一修正的修正.同时,还发现修正 Hawking 温度与类以...; 关键词：修正 DIRAC 方程霍金辐射 HAMILTON-JACOBI 方程黑洞热力学

UNIQUENESS OF VISCOSITY SOLUTIONS OF STOCHASTIC HAMILTON-JACOBI EQUATIONS: 《Acta Mathematica Scientia》2019年第3期857-873,共17页Jinniao QIU Wenning WEI; partially supported by the National Science and Engineering Research Council of Canada(NSERC);the start-up funds from the University of Calgary; This article is devoted to the study of fully nonlinear stochastic Hamilton-Jacobi (HJ) equations for the optimal stochastic control problem of ordinary differential equations with random coefficients. Under the stand...; 关键词：STOCHASTIC HAMILTON-JACOBI EQUATION optimal STOCHASTIC control BACKWARD STOCHASTIC partial differential EQUATION viscosity solution

噪声依赖状态和控制的时滞非线性随机系统Nash微分博弈被引量：1: 《广东工业大学学报》2018年第1期41-45,60,共6页李洁茗朱怀念; 国家自然科学基金资助项目(71571053);广东省自然科学基金资助项目(2015A030310218;2016A030313701);广东省教育厅普通高校特色创新项目(2015WTSCX014); 研究了一类噪声依赖于状态和控制的时滞非线性随机系统的2人Nash微分博弈问题,借助4个耦合的HamiltonJacobi方程组(HJEs)得到了Nash均衡策略存在的充分条件,即耦合HJEs如果存在解,Nash均衡策略就存在.同时给出了Nash均衡策略的显式表达...; 关键词：时滞非线性随机系统微分博弈 NASH均衡 Hamilton-Jacobi方程组

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