On the stabilization of linear systems
On the stabilization of linear systems
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DOI：
10.1090/s0002-9939-1964-0168408-8
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发表时间：
1964-05
期刊：
影响因子：
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通讯作者：
C. Langenhop
中科院分区：
文献类型：
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作者：
C. Langenhop
“稳定”。“这里A是一个n × n矩阵，x和B是n × 1列矩阵（或向量），p是一个1 × n行矩阵，q和u是标量。我们将假定所有这些的元素可以是复数。向量x可以物理地解释为由矩阵A表征的线性系统的输出。矢量B对应于某种反馈或控制机制，其中u是控制信号，p和q是控制电路中的可调参数。Romanenko称系统（A，B）是可稳定的，如果对于任何n+1或更小的复数的非空集合S，存在p和q，使得
be "stabilizable." Here A is an n by n matrix, x and b are n by 1 column matrices (or vectors), p is a 1 by n row matrix and q and u are scalars. We shall assume that the elements of all these may be complex numbers. The vector x can be interpreted physically as the output of a linear system characterized by the matrix A. The vector b corresponds to some feedback or control mechanism with u the controlling signal and p and q adjustable parameters in the controlling circuit. Romanenko calls the system (A, b) stabilizable if for any nonempty set S of n+1 or less complex numbers there exist p and q such that