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
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)