caa a22 4500 60619925X CHVBK 20210128100937.0 cr unu---uuuuu 210128e20150101xx s 000 0 eng 10.1007/s11045-013-0241-8 doi (NATIONALLICENCE)springer-10.1007/s11045-013-0241-8 Boundary control of discrete repetitive processes with smoothing: controllability, observability and disturbance attenuation [Elektronische Daten] [Teresa Azevedo-Perdicoúlis, Gerhard Jank, Paulo LopesdosSantos] In this paper, we proffer an explicit representation of solutions for a specific class of linear repetitive processes with smoothing. This representation is used to obtain direct controllability and observability criteria of this same class of discrete time 2-D systems. Not only classical controllability properties are considered, where control of the system is obtained by choosing its inhomogeneity appropriately, but also controllability of the system by steering it through boundary data control. From the point of view of technical applications, for instance in high pressure gas network modelling (see Azevedo-Perdicoúlis and Jank in Proceedings of n-DS, international workshop on multidimensional systems, Thessaloniki. 2009), it seems to be more reliable to consider boundary data controls. Therefore, in this paper we emphasise boundary data control properties of the system. A disturbed optimal boundary control problem with a quadratic criterion is also solved. Springer Science+Business Media New York, 2013 Boundary control nationallicence Controllability nationallicence Disturbed games nationallicence Observability nationallicence Optimal control nationallicence Repetitive processes nationallicence 2D-systems nationallicence Azevedo-Perdicoúlis Teresa ISR, Coimbra, Portugal aut Jank Gerhard Department II of Mathematics, RWTH, University of Technology, 52056, Aachen, Germany aut LopesdosSantos Paulo FEUP, 4200-465, Porto, Portugal aut Multidimensional Systems and Signal Processing Springer US; http://www.springer-ny.com 26/1(2015-01-01), 145-158 0923-6082 26:1<145 2015 26 11045 https://doi.org/10.1007/s11045-013-0241-8 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/s11045-013-0241-8 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Azevedo-Perdicoúlis Teresa ISR, Coimbra, Portugal aut NATIONALLICENCE 700 1- Jank Gerhard Department II of Mathematics, RWTH, University of Technology, 52056, Aachen, Germany aut NATIONALLICENCE 700 1- LopesdosSantos Paulo FEUP, 4200-465, Porto, Portugal aut NATIONALLICENCE 773 0- Multidimensional Systems and Signal Processing Springer US; http://www.springer-ny.com 26/1(2015-01-01), 145-158 0923-6082 26:1<145 2015 26 11045