Sufficient conditions for the stabilization of linear dynamical systems

被引：7

作者：

Fomichev, V. V. ^{[1
,2
,3
]}

机构：

[1] Russian Acad Sci, Design Informat Technol Ctr, Moscow, Russia

[2] Russian Acad Sci, Trapeznikov Inst Control Sci, Moscow, Russia

[3] Moscow MV Lomonosov State Univ, Moscow, Russia

来源：

DIFFERENTIAL EQUATIONS | 2015年 / 51卷 / 11期

基金：

俄罗斯基础研究基金会;

关键词：

Asymptotic Stabilization; Characteristic Polynomial; Imaginary Axis; Multiple Root; Linear Dynamical System;

D O I：

10.1134/S0012266115110129

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the output stabilization problem for a linear time-independent system. We show that if the system output is zero, y(t) a parts per thousand 0, then, for the stabilization of the entire state vector, the sufficient condition of stability of the zero dynamics can be replaced by the boundedness of the system input (provided that the characteristic polynomial of the zero dynamics has no eigenvalues on the imaginary axis).

引用

页码：1512 / 1517

页数：6