5 research outputs found
Bounds for Invariance Pressure
This paper provides an upper for the invariance pressure of control sets with
nonempty interior and a lower bound for sets with finite volume. In the special
case of the control set of a hyperbolic linear control system in R^{d} this
yields an explicit formula. Further applications to linear control systems on
Lie groups and to inner control sets are discussed.Comment: 16 page
Invariance pressure for control systems
Notions of invariance pressure for control systems are introduced based on
weights for the control values. The equivalence is shown between inner
invariance pressure based on spanning sets of controls and on invariant open
covers, respectively. Furthermore, a number of properties of invariance
pressure are derived and it is computed for a class of linear systems.Comment: 26 page