TY - JOUR T1 - On the reachability of quantized control systems JF - IEEE Trans. Automat. Contr. 47 (2002) 546-563 Y1 - 2002 A1 - Antonio Bicchi A1 - Alessia Marigo A1 - Benedetto Piccoli AB - In this paper, we study control systems whose input sets are quantized, i.e., finite or regularly distributed on a mesh. We specifically focus on problems relating to the structure of the reachable set of such systems, which may turn out to be either dense or discrete. We report results on the reachable set of linear quantized systems, and on a particular but interesting class of nonlinear systems, i.e., nonholonomic chained-form systems. For such systems, we provide a complete characterization of the reachable set, and, in case the set is discrete, a computable method to completely and succinctly describe its structure. Implications and open problems in the analysis and synthesis of quantized control systems are addressed. PB - SISSA Library UR - http://hdl.handle.net/1963/1501 U1 - 2662 U2 - Mathematics U3 - Functional Analysis and Applications ER -