caa a22 4500 477094163 CHVBK 20180405111522.0 cr unu---uuuuu 170330e19960401xx s 000 0 eng 10.1007/BF01827813 doi (NATIONALLICENCE)springer-10.1007/BF01827813 Stability results for decomposable multidimensional digital systems based on the lyapunov equation [Elektronische Daten] [Chengshan Xiao, David Hill] Lower bounds for the stability margins of 2-D digital systems are extended to n-D systems. These bounds are then improved for n-D (including 2-D) systems which have characteristic polynomials with 1-D factor polynomials. Stability analysis of n-D systems due to finite wordlength is considered, some tight lower bounds on coefficient wordlength which guarantee the n-D system to be stable and/or globally asymptotically stable are presented. Improved and/or extended criteria for absence of overflow oscillations and global asymptotic stability of n-D systems are proposed as well. An example is presented to illustrate the theoretical results, and it is shown that the lower bound on coefficient wordlength could be considerably improved for the (partial) factorable denominator n-D digital systems. All the discussions are based on the n-D Lyapunov equation. Kluwer Academic Publishers, 1996 Multidimensional systems nationallicence Stability margins nationallicence Finite wordlength effect nationallicence Overflow oscillations nationallicence Limit cycles nationallicence Asymptotic stability nationallicence Xiao Chengshan Department of Electrical Engineering, University of Sydney, NSW 2006, Australia aut Hill David Department of Electrical Engineering, University of Sydney, NSW 2006, Australia aut Multidimensional Systems and Signal Processing Kluwer Academic Publishers 7/2(1996-04-01), 195-209 0923-6082 7:2<195 1996 7 11045 https://doi.org/10.1007/BF01827813 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01827813 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Xiao Chengshan Department of Electrical Engineering, University of Sydney, NSW 2006, Australia aut NATIONALLICENCE 700 1- Hill David Department of Electrical Engineering, University of Sydney, NSW 2006, Australia aut NATIONALLICENCE 773 0- Multidimensional Systems and Signal Processing Kluwer Academic Publishers 7/2(1996-04-01), 195-209 0923-6082 7:2<195 1996 7 11045 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer