caa a22 4500 606166580 CHVBK 20210128100658.0 cr unu---uuuuu 210128e20150401xx s 000 0 eng 10.1007/s10440-014-9954-4 doi (NATIONALLICENCE)springer-10.1007/s10440-014-9954-4 Controllability and Observability for a Linear Time Varying System with Piecewise Constant Delay [Elektronische Daten] [Manuel Pinto, Gonzalo Robledo] In this note, we obtain some necessary and sufficient conditions for the controllability and observability in a linear time-varying control system with piecewise constant state variables. The controllability results can be understood in terms of classical control systems on intervals [k,k+1] with $k\in\mathbb{Z}$ . We have preferred to use a global treatment instead of the reduction to a discrete equation. We also derive some results for the linear time-invariant case. Illustrative examples are presented. Springer Science+Business Media Dordrecht, 2014 Differential equations nationallicence Piecewise constants arguments nationallicence Controllability nationallicence Observability nationallicence Pinto Manuel Departamento de Matemáticas, Facultad de Ciencias, Universidad de Chile, Casilla 653, Santiago, Chile aut Robledo Gonzalo Departamento de Matemáticas, Facultad de Ciencias, Universidad de Chile, Casilla 653, Santiago, Chile aut Acta Applicandae Mathematicae Springer Netherlands 136/1(2015-04-01), 193-216 0167-8019 136:1<193 2015 136 10440 https://doi.org/10.1007/s10440-014-9954-4 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10440-014-9954-4 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Pinto Manuel Departamento de Matemáticas, Facultad de Ciencias, Universidad de Chile, Casilla 653, Santiago, Chile aut NATIONALLICENCE 700 1- Robledo Gonzalo Departamento de Matemáticas, Facultad de Ciencias, Universidad de Chile, Casilla 653, Santiago, Chile aut NATIONALLICENCE 773 0- Acta Applicandae Mathematicae Springer Netherlands 136/1(2015-04-01), 193-216 0167-8019 136:1<193 2015 136 10440