DocumentCode :
298521
Title :
On stability and the Lyapunov equation for n-dimensional digital systems
Author :
Xiao, Chengshan ; Hill, David J. ; Agathoklis, P.
Author_Institution :
Dept. of Electr. Eng., Sydney Univ., NSW, Australia
Volume :
2
fYear :
1995
fDate :
30 Apr-3 May 1995
Firstpage :
781
Abstract :
The discrete-time bounded-real lemma is further developed for nonminimal digital systems. Based on this lemma, rigorous necessary and sufficient conditions for the existence of positive definite solutions to the Lyapunov equation for n-dimensional (n-D) digital systems are proposed. These new conditions are improvements and extensions of earlier conditions and can be applied to n-D digital systems with characteristic polynomials involving 1-D factor polynomials. Further, the results in this paper show that the positive definite solutions to the n-D Lyapunov equation of a n-D system with characteristic polynomial involving 1-D factors can be obtained from the solutions of a k-D (0⩽k⩽n) subsystem and m(1⩽m⩽n) 1-D subsystems. This could significantly simplify the complexity of solving the n-D Lyapunov equation for such cases
Keywords :
Lyapunov matrix equations; digital systems; discrete time systems; multidimensional systems; polynomial matrices; stability; state-space methods; transfer function matrices; 1D factor polynomials; Lyapunov equation; characteristic polynomials; discrete-time bounded-real lemma; finite wordlength; n-dimensional digital systems; nonminimal digital systems; positive definite solutions; stability; state space model; transfer matrix; Digital systems; Equations; Observability; Polynomials; Scholarships; Stability analysis; Sufficient conditions;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Circuits and Systems, 1995. ISCAS '95., 1995 IEEE International Symposium on
Conference_Location :
Seattle, WA
Print_ISBN :
0-7803-2570-2
Type :
conf
DOI :
10.1109/ISCAS.1995.519879
Filename :
519879
Link To Document :
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