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 -
TY - JOUR
T1 - Quantized control systems and discrete nonholonomy
JF - Lagrangian and Hamiltonian Methods for Nonlinear Control : a proc. volume from the IFAC Workshop. Princeton, New Jersey, 16-18 March 2000 / ed. by N.E. Leonard, R. Ortega. - Oxford : Pergamon, 2000
Y1 - 2000
A1 - Alessia Marigo
A1 - Benedetto Piccoli
A1 - Antonio Bicchi
PB - Elsevier
SN - 0-08-043658-7
UR - http://hdl.handle.net/1963/1502
U1 - 2661
U2 - Mathematics
U3 - Functional Analysis and Applications
ER -
TY - CHAP
T1 - Reachability Analysis for a Class of Quantized Control Systems
T2 - Proc. 39th IEEE Int. Conf. on Decision and Control 4 (2000) 3963-3968
Y1 - 2000
A1 - Alessia Marigo
A1 - Benedetto Piccoli
A1 - Antonio Bicchi
AB - 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, which may turn out to be either dense or discrete. We report on some 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.
JF - Proc. 39th IEEE Int. Conf. on Decision and Control 4 (2000) 3963-3968
PB - IEEE
UR - http://hdl.handle.net/1963/3518
U1 - 746
U2 - Mathematics
U3 - Functional Analysis and Applications
ER -