Hyperstability

In stability theory, hyperstability is a property of a system that requires the state vector to remain bounded if the inputs are restricted to belonging to a subset of the set of all possible inputs.Brian D. O Anderson, "A Simplified Viewpoint of Hyperstability", IEEE Transactions on Automatic Control, June 1968

Definition:Zinober, Deterministic control of uncertain systems, 1990 A system is hyperstable if there are two constants $k_1 \ge 0, k_2 \ge 0$ such that any state trajectory of the system satisfies the inequality:

: $\| x(t) \| < k_1 \|x(0)\| + k_2, \, \forall t \ge 0$

Hyperstability

References

See also