CAJ | 학술논문

给定等价辛流形,即辛同态或形变等价的辛流形,研究了建立在这些辛流形上的Hamilton控制系统之间的一些性质的联系,诸如(局部)能观测性,强可接近性,(拟)极小性等.而且,利用Cortés介绍的(弱)外等价系统的概念,给出使得两个Hamilton控制系统是辛同态的一个充分条件.
급정등개신류형,즉신동태혹형변등개적신류형,연구료건립재저사신류형상적Hamilton공제계통지간적일사성질적련계,제여(국부)능관측성,강가접근성,(의)겁소성등.이차,이용Cortés개소적(약)외등개계통적개념,급출사득량개Hamilton공제계통시신동태적일개충분조건.
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.