论文标题
在具有边界控制的一阶的进化动力系统上
On an evolutionary dynamical system of the first order with boundary control
论文作者
论文摘要
这项工作是作为程序的一部分进行的,以构建对称运算符的新功能\ - nal(所谓的{\ it Wave})模型。结果表明,通过边界控制的一阶(相对于时间)的抽象进化动态系统,该系统由对称操作员$ l_0:{\ Mathscr H} \ to {\ Mathscr h} $确定,仅当$ l_0 $没有最大的对称零件时,才能控制。
The work is carried out as part of the program to construct a new functio\-nal (so-called {\it wave}) model of symmetric operators. It is shown that an abstract evolutionary dynamic system of the first order (with respect to time) with boundary control, which is determined by a symmetric operator $L_0:{\mathscr H}\to{\mathscr H}$, is controllable if and only if $L_0$ has no maximal symmetric parts in~${\mathscr H}$.