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 -