2.NounThe condition of a system in which there exist two constants
k
1
≥
0
,
k
2
≥
0
{\displaystyle k_{1}\geq 0,k_{2}\geq 0}
such that any state trajectory of the system satisfies the inequality:
‖
x
(
t
)
‖
<
k
1
‖
x
(
0
)
‖
+
k
2
,
∀
t
≥
0
{\displaystyle \|x(t)\|<k_{1}\|x(0)\|+k_{2},\,\forall t\geq 0}