caa a22 4500 477094147 CHVBK 20180405111522.0 cr unu---uuuuu 170330e19960401xx s 000 0 eng 10.1007/BF01827812 doi (NATIONALLICENCE)springer-10.1007/BF01827812 Lyapunov stability theory and performance bounds for a class of 2D linear systems [Elektronische Daten] [E. Rogers, D. Owens] Repetitive processes are a class of 2D systems characterised by a series of sweeps, or passes, through dynamics defined over a finite fixed duration with explicit interaction between successive outputs. The unique control problem is that the output sequence can contain oscillations which increase in amplitude from pass to pass. In this paper, a new Lyapunov equation based stability result is developed for one sub-class of practical interest together with a detailed treatment of how it can be tested. This result is then used to derive bounds on expected system performance. Kluwer Academic Publishers, 1996 Rogers E. Image Speech & Intelligent Systems (ISIS) Research Group, Department of Electronics & Computer Science, University of Southampton, SO17 1BJ, Southampton, UK aut Owens D. Centre for Systems and Control Engineering, School of Engineering, University of Exeter, EX4 4QF, Exeter, UK aut Multidimensional Systems and Signal Processing Kluwer Academic Publishers 7/2(1996-04-01), 179-194 0923-6082 7:2<179 1996 7 11045 https://doi.org/10.1007/BF01827812 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01827812 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Rogers E. Image Speech & Intelligent Systems (ISIS) Research Group, Department of Electronics & Computer Science, University of Southampton, SO17 1BJ, Southampton, UK aut NATIONALLICENCE 700 1- Owens D. Centre for Systems and Control Engineering, School of Engineering, University of Exeter, EX4 4QF, Exeter, UK aut NATIONALLICENCE 773 0- Multidimensional Systems and Signal Processing Kluwer Academic Publishers 7/2(1996-04-01), 179-194 0923-6082 7:2<179 1996 7 11045 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer