21 citations · 85 across the 17 of their papers we have counts for
6 papers · 1 filter
On the global behavior of linear flows
Fritz Colonius
For linear flows on vector bundles, it is analyzed when subbundles in the Selgrade decomposition yield chain transitive subsets for the induced flow on the associated Poincaré sphe…
Invariance entropy, quasi-stationary measures and control sets
Fritz Colonius
For control systems in discrete time, this paper discusses measure-theoretic invariance entropy for a subset Q of the state space with respect to a quasi-stationary measure obtaine…
Supports of Invariant Measures for Piecewise Deterministic Markov Processes
Michel Benaïm, Fritz Colonius, Lettau Ralph
For a class of piecewise deterministic Markov processes, the supports of the invariant measures are characterized. This is based on the analysis of controllability properties of an…
Decay rates for stabilization of linear continuous-time systems with random switching
Fritz Colonius, Guilherme Mazanti
For a class of linear switched systems in continuous time a controllability condition implies that state feedbacks allow to achieve almost sure stabilization with arbitrary exponen…
Kernel Methods for Linear Discrete-Time Equations
Fritz Colonius, Boumediene Hamzi
Methods from learning theory are used in the state space of linear dynamical and control systems in order to estimate the system matrices. An application to stabilization via algeb…
Growth rates for persistently excited linear systems
Yacine Chitour, Fritz Colonius, Mario Sigalotti
We consider a family of linear control systems where belongs to a given class of persistently exciting signals. We seek maximal -uniform stabilisation and d…