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Mathematical Sciences: Nonholonomic Control and Gauge Theory

Mathematical Sciences: Nonholonomic Control and Gauge Theory
数学科学:非完整控制和规范理论
批准号:
9400515
负责人:
Richard Montgomery
金额:
$7.5万
依托单位国家:
美国
项目类别:
Continuing Grant
财政年份:
1994
资助国家:
美国
项目状态:
已结题
起止时间:
1994-07-01 至 1998-06-30

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中文摘要
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英文摘要
9400515 Montgomery The research entails differential-geometric techniques applied to optimization and related problems in control theory. The theory of distributions is considered as the model of the control system up to feedback equivalence. Singular geodesics within these systems will be analyzed. The research has potential applications to micromotor systems and robotic engineering.
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会议论文
Global Aspects of the N-Body Problem
  • 批准号:
    1305844
  • 项目类别:
    Continuing Grant
  • 资助金额:
    $18.99万
  • 财政年份:
    2013
  • 负责人:
    Richard Montgomery
  • 依托单位:
Variational and Topological Approaches to the Three-body Problem
  • 批准号:
    0303100
  • 项目类别:
    Continuing Grant
  • 资助金额:
    $16.4万
  • 财政年份:
    2003
  • 负责人:
    Richard Montgomery
  • 依托单位:
Variational Structure of Collisions in the Three-Body Problem
  • 批准号:
    0072336
  • 项目类别:
    Continuing Grant
  • 资助金额:
    $14.31万
  • 财政年份:
    2000
  • 负责人:
    Richard Montgomery
  • 依托单位:
Periodic Orbits, Magnetic Fields, and Other Topics in Symplectic Geometry
  • 批准号:
    9704763
  • 项目类别:
    Continuing Grant
  • 资助金额:
    $15.46万
  • 财政年份:
    1997
  • 负责人:
    Richard Montgomery
  • 依托单位:
国内基金
海外基金
Handbook of the Mathematics of the Arts and Sciences的中文翻译
  • 批准号:
    12226504
  • 项目类别:
    数学天元基金项目
  • 资助金额:
    20.0万元
  • 批准年份:
    2022
  • 负责人:
    黄朝凌
  • 依托单位:
SCIENCE CHINA: Earth Sciences
Journal of Environmental Sciences
SCIENCE CHINA Information Sciences