caa a22 4500 445868570 CHVBK 20180317145505.0 cr unu---uuuuu 170323e20111201xx s 000 0 eng 10.1007/s00498-011-0063-x doi (NATIONALLICENCE)springer-10.1007/s00498-011-0063-x Left invertibility of discrete-time output-quantized systems: the linear case with finite inputs [Elektronische Daten] [Nevio Dubbini, Benedetto Piccoli, Antonio Bicchi] This paper studies left invertibility of discrete-time linear output-quantized systems. Quantized outputs are generated according to a given partition of the state-space, while inputs are sequences on a finite alphabet. Left invertibility, i.e. injectivity of I/O map is reduced to left D-invertibility, under suitable conditions. While left invertibility takes into account membership to sets of a given partition, left D-invertibility considers only membership to a single set and is much easier to detect. The condition under which left invertibility and left D-invertibility are equivalent is that the elements of the dynamic matrix of the system form an algebraically independent set. Our main result is a method to compute left D-invertibility for all linear systems with no eigenvalue of modulus one. Therefore, we are able to check left invertibility of output-quantized linear systems for a full measure set of matrices. Some examples are presented to show the application of the proposed method. Springer-Verlag London Limited, 2011 Left invertibility nationallicence Uniform quantization nationallicence Finite inputs nationallicence Algebraic independent set nationallicence Discrete time nationallicence Control systems nationallicence Dubbini Nevio Interdepartmental research center "E. Piaggio”, University of Pisa, Pisa, Italy aut Piccoli Benedetto Department of mathematical sciences, Rutgers University, New Brunswick, NJ, USA aut Bicchi Antonio Interdepartmental research center "E. Piaggio”, University of Pisa, Pisa, Italy aut Mathematics of Control, Signals, and Systems Springer-Verlag 23/1-3(2011-12-01), 117-139 0932-4194 23:1-3<117 2011 23 498 https://doi.org/10.1007/s00498-011-0063-x text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00498-011-0063-x text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Dubbini Nevio Interdepartmental research center "E. Piaggio”, University of Pisa, Pisa, Italy aut NATIONALLICENCE 700 1- Piccoli Benedetto Department of mathematical sciences, Rutgers University, New Brunswick, NJ, USA aut NATIONALLICENCE 700 1- Bicchi Antonio Interdepartmental research center "E. Piaggio”, University of Pisa, Pisa, Italy aut NATIONALLICENCE 773 0- Mathematics of Control, Signals, and Systems Springer-Verlag 23/1-3(2011-12-01), 117-139 0932-4194 23:1-3<117 2011 23 498 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer