Abstract (EN):
The main topic of this paper is the controllability/reachability
problems of the maximal invariant sets of non-linear discrete-time multiplevalued
iterative dynamical systems. We prove that the controllability/reachability
problems of the maximal full-invariant sets of classical control dynamical
systems are equivalent to those of the maximal quasi-invariant sets of disturbed
control dynamical systems, when modeled by the iterative dynamics of
multiple-valued self-maps. Also, we prove that the afore-mentioned maximal
full-invariant sets and maximal quasi-invariant sets are countably infinite step
controllable under some appropriate conditions. We take an abstract set theoretical
approach, so that our main theorems remain valid regardless of the
topological structure of the space or the analytical structure of the dynamics.
Language:
English
Type (Professor's evaluation):
Scientific
No. of pages:
14