Further results on controllability properties of discrete-time nonlinear systems |
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| Authors: | Francesca Albertini Eduardo D Sontag |
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| Affiliation: | (1) Dipartimento di Matematica, Universitá di Padova, Via Belzoni 7, 35100 Padova, Italy;(2) SYCON-Rutgers Center for Systems and Control Department of Mathematics, Rutgers University, 08903 New Brunswick, NJ |
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| Abstract: | Controllability questions for discrete-time nonlinear systems are addressed in this paper. In particular, we continue the search for conditions under which the group-like notion of transitivity implies the stronger and semigroup-like property of forward accessibility. We show that this implication holds, pointwise, for states which have a weak Poisson stability property, and globally, if there exists a global  attractor for the system.This research was supported in part by US Air Force Grant AFOSR-91-0346, and also by an INDAM (Istituto Nazionale di Alta Matematica Francesco Severi, Italy) fellowship. |
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