Fabian Wirth
Dynamics and controllability of nonlinear discrete-time control systems
The paper is published: Preprints of the 4th IFAC Nonlinear Control Systems Design Symposium, NOLCOS98, Enschede, The Netherlands, 269 - 275, 1998
MSC:
93B05 Controllability
93C55 Discrete-time
Abstract:
We discuss controllability properties of non-invertible nonlinear
discrete-time systems under the assumption of forward
accessibility. It is shown how regularity properties of control
sequences can be used in the construction of regions of complete
controllability, i.e. control sets. Some properties of control
sets are discussed, and the existence of regular controls with
periodic points in a prescribed region of a control set is shown.
Furthermore, the parameter dependence of control sets and chain
control sets is analyzed.


Keywords: Discrete-time nonlinear control, topological dynamics, control sets, chain control sets, parameter dependent control systems

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Zentrum für Technomathematik (German)
Institute for Dynamical Systems
The Maths Department
The University of Bremen