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.