Controllability Properties and Invariance Pressure for Linear Discrete-Time Systems | Journal of
Dynamics and Differential Equations Skip to main content SpringerLink Account Menu Find a …

We introduce two kinds of invariance pressure dimension, which not only give dimension
characteristics of invariance pressure and inner invariance pressure introduced by Colonius …

We introduce two new definitions of invariance pressure and measure-theoretic invariance
entropy in control systems, respectively. It is shown that both of them are invariant under …

Invariance Pressure of Control Sets Page 1 Copyright © by SIAM. Unauthorized
reproduction of this article is prohibited. SIAM J. CONTROL OPTIM. c 2018 Society for …

This paper provides an upper bound 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 …

We investigate the relations between Bowen and packing invariance pressures and
measure-theoretical lower and upper invariance pressures for invariant partitions of a …

We introduce the notions of (inner) equi-invariability,(inner) finite equi-invariability, and
bounded (inner) invariance complexity. We show that they are equivalent for (open) compact …

In this paper, we introduce the notions of bounded invariance complexity, bounded
invariance complexity in the mean and mean Lyapunov-stability for control systems. Then …

We introduce two notions of equi-invariant sets and unstable sets for control systems and
show that a control set with dense interior is either equi-invariant or unstable. This is the …

We aim to establish Bowen's equations for upper capacity invariance pressure and Pesin-
Pitskel invariance pressure of discrete-time control systems. We first introduce a new …