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辛映射与Hamilton控制系统

康剑灵 王红 叶华文

应用数学2005,Vol.18Issue(1):66-72,7.
应用数学2005,Vol.18Issue(1):66-72,7.

辛映射与Hamilton控制系统

Symplectic Mapping and Hamiltonian Control Systems

康剑灵 1王红 2叶华文3

作者信息

  • 1. 东华大学应用数学系,上海,200051
  • 2. 西北工业大学自动控制系,陕西,西安,710072
  • 3. 南开大学数学院和核心数学与组合数学教育部重点实验室,天津,300071
  • 折叠

摘要

Abstract

Given the equivalent Symplectic manifolds i. e. , symplectomorphism or deformation-equivalent Symplectic manifolds, the relationships of characters for the associated affine Hamiltonian control systems are shown, such as (local) observability, locally strong accessibility, (quasi-) minimality, ect. Moreover, a sufficient condition is given for two Hamiltonian control systems to be symplectomorphism in terms of the notions of (weakly) externally equivalent systems introduced by Girtés.

关键词

Hamilton控制系统/强可接近性/能观测性/外等价系统

Key words

Hamiltonian control systems/Strong accessibility/Observability/Externally equivalent systems

分类

数理科学

引用本文复制引用

康剑灵,王红,叶华文..辛映射与Hamilton控制系统[J].应用数学,2005,18(1):66-72,7.

基金项目

National Natural Science Foundation of China(10171081) (10171081)

应用数学

OA北大核心CSCD

1001-9847

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