QUESTION OP GLOBAL ASYMPTOTIC STABILITY IN STATE-VARYING NONLINEAR-SYSTEMS

被引:2
作者
SHIH, MH
WU, JW
机构
关键词
GLOBAL ASYMPTOTIC STABILITY; LASALLES PROBLEM; STATE-VARYING SYSTEM; SPECTRAL RADIUS;
D O I
10.2307/2160757
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A problem raised by LaSalle (i.e., a discrete counterpart of the Jacobian problem in differential equations) concerning the global asymptotic stability in state-varying nonlinear systems is settled. A global asymptotic stability criterion for state-varying systems based on vector energy functions is introduced.
引用
收藏
页码:801 / 804
页数:4
相关论文
共 2 条
[1]  
LaSalle JP, 1976, CBMS NSF REGIONAL C, V25
[2]   JACOBIAN PROBLEMS IN DIFFERENTIAL-EQUATIONS AND ALGEBRAIC-GEOMETRY [J].
MEISTERS, GH .
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 1982, 12 (04) :679-705