%0 Journal Article
%J IEEE Trans. Automat. Contr. 47 (2002) 546-563
%D 2002
%T On the reachability of quantized control systems
%A Antonio Bicchi
%A Alessia Marigo
%A Benedetto Piccoli
%X 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.
%B IEEE Trans. Automat. Contr. 47 (2002) 546-563
%I SISSA Library
%G en
%U http://hdl.handle.net/1963/1501
%1 2662
%2 Mathematics
%3 Functional Analysis and Applications
%$ Made available in DSpace on 2004-09-01T13:03:18Z (GMT). No. of bitstreams: 0\\n Previous issue date: 2000
%R 10.1109/9.995034
%0 Journal Article
%J 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
%D 2000
%T Quantized control systems and discrete nonholonomy
%A Alessia Marigo
%A Benedetto Piccoli
%A Antonio Bicchi
%B 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
%I Elsevier
%@ 0-08-043658-7
%G en
%U http://hdl.handle.net/1963/1502
%1 2661
%2 Mathematics
%3 Functional Analysis and Applications
%$ Made available in DSpace on 2004-09-01T13:03:18Z (GMT). No. of bitstreams: 0\\n Previous issue date: 2000
%0 Book Section
%B Proc. 39th IEEE Int. Conf. on Decision and Control 4 (2000) 3963-3968
%D 2000
%T Reachability Analysis for a Class of Quantized Control Systems
%A Alessia Marigo
%A Benedetto Piccoli
%A Antonio Bicchi
%X 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.
%B Proc. 39th IEEE Int. Conf. on Decision and Control 4 (2000) 3963-3968
%I IEEE
%G en_US
%U http://hdl.handle.net/1963/3518
%1 746
%2 Mathematics
%3 Functional Analysis and Applications
%$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2009-02-18T10:49:16Z\\nNo. of bitstreams: 1\\nquantized-CDC00.pdf: 249884 bytes, checksum: b54871be602650ae79a8f293167c1a1c (MD5)
%R 10.1109/CDC.2000.912333