5 papers
Chain recurrence and Selgrade`s theorem for affine flows
Fritz Colonius, Alexandre J. Santana
Affine flows on vector bundles with chain transitive base flow are lifted to linear flows and the decomposition into exponentially separated subbundles provided by Selgrade's theor…
Global controllability properties of linear control systems
Fritz Colonius, Alexandre J. Santana
For linear control systems with bounded control range, the state space is compactified using the Poincaré sphere. The linearization of the induced control flow allows the construc…
Nonautonomous control systems and skew product flows
Fritz Colonius, Roberta Fabbri
For nonautonomous control systems with compact control range, associated control flows are introduced. This leads to several skew product flows with various base spaces. The contro…
Control semiflows, chain controllability, and the Selgrade decomposition for linear delay systems
Fritz Colonius
A continuous semiflow is introduced for linear control systems with delays in the states and controls and bounded control range. The state includes the control functions. It is pro…
Strong chain control sets and affine control systems
Fritz Colonius, Alexandre J. Santana
For control-affine systems on non-compact manifolds, the notion of strong chain control sets is introduced and related to the strong chain transitivity of the associated control fl…