DocumentCode :
851865
Title :
A Lyapunov function of two-dimensional linear systems
Author :
Mahgoub, H. ; Carroll, R.
Author_Institution :
George Washington University, Washington, D.C., USA
Volume :
31
Issue :
2
fYear :
1986
fDate :
2/1/1986 12:00:00 AM
Firstpage :
170
Lastpage :
172
Abstract :
In this note a Lyapunov function for a 2-D time invariant discrete linear system is introduced, using the 2-D system model given by Roesser [1]. The Lyapunov function may be used to investigate the asymptotic stability of the 2-D system. Previous work dealing with asymptotic stability of 2-D systems [3]-[5] is based upon the location of roots of the characteristic polynomial in the closed polydisk 
.
.Keywords :
Asymptotic stability, linear systems; Discrete-time systems; Lyapunov methods, linear systems; Multidimensional (n-D) system; Asymptotic stability; Boundary conditions; Computer science; Equations; Linear systems; Lyapunov method; Polynomials; Sufficient conditions; Symmetric matrices;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1986.1104224
Filename :
1104224
Link To Document :
