Reachability Analysis for a Class of Quantized Control Systems (2000)
| Citations: | 9 - 2 self |
BibTeX
@MISC{Marigo00reachabilityanalysis,
author = {A. Marigo and B. Piccoli and A. Bicchi},
title = {Reachability Analysis for a Class of Quantized Control Systems},
year = {2000}
}
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Abstract
In this paper we study control systems whose input sets are quantized. We specifically focus on problems relating to the structure of the reachable set of such systems, whichmay turn out to be either dense or discrete. We report on some recent results on the reachable set of linear quantized systems, and study in detail an interesting class of nonlinear systems, forming the discrete counterpart of driftless nonholonomic continuous systems. For such systems, we provide a complete characterization of the reachable set, and, in the case the set is discrete, a computable method to describe its lattice structure.
