ON CHARACTERIZATIONS OF THE INPUT-TO-STATE STABILITY PROPERTY

被引:1125
作者
SONTAG, ED
WANG, Y
机构
[1] RUTGERS STATE UNIV,DEPT MATH,NEW BRUNSWICK,NJ 08903
[2] FLORIDA ATLANTIC UNIV,DEPT MATH,BOCA RATON,FL 33431
基金
美国国家科学基金会;
关键词
NONLINEAR STABILITY; INPUT; STATE STABILITY; LYAPUNOV FUNCTION TECHNIQUES;
D O I
10.1016/0167-6911(94)00050-6
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
We show that the well-known Lyapunov sufficient condition for ''input-to-state stability'' (ISS) is also necessary, settling positively an open question raised by several authors during the past few years. Additional characterizations of the ISS property, including one in terms of nonlinear stability margins, are also provided.
引用
收藏
页码:351 / 359
页数:9
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