Title :
Stability and the matrix Lyapunov equation for discrete 2-dimensional systems
Author :
Anderson, Brian D O ; Agathoklis, Panajotis ; Jury, E.I. ; Mansour, M.
fDate :
3/1/1986 12:00:00 AM
Abstract :
The stability of two-dimensional, linear, discrete systems is examined using the 2-D matrix Lyapunov equation. While the existence of a positive definite solution pair to the 2-D Lyapunov equation is sufficient for stability, the paper proves that such existence is not necessary for stability, disproving a long-standing conjecture.
Keywords :
Discrete-time systems; General circuits and systems; Lyapunov matrix equations; Lyapunov methods, linear systems; Multidimensional (n-D) system; Automatic control; Continuous time systems; Equations; Helium; Industrial electronics; Polynomials; Stability; Sufficient conditions; Systems engineering and theory; Two dimensional displays;
Journal_Title :
Circuits and Systems, IEEE Transactions on
DOI :
10.1109/TCS.1986.1085912
