TY - JOUR
T1 - STABILITY AND THE MATRIX LYAPUNOV EQUATION FOR DISCRETE 2-DIMENSIONAL SYSTEMS.
AU - Anderson, Brian D.O.
AU - Agathoklis, Panajotis
AU - Jury, E. I.
AU - Mansour, M.
PY - 1986
Y1 - 1986
N2 - 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, it is proven that such existence is not necessary for stability, disproving a long-standing conjecture.
AB - 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, it is proven that such existence is not necessary for stability, disproving a long-standing conjecture.
UR - http://www.scopus.com/inward/record.url?scp=0022690259&partnerID=8YFLogxK
U2 - 10.1109/tcs.1986.1085912
DO - 10.1109/tcs.1986.1085912
M3 - Article
AN - SCOPUS:0022690259
SN - 0098-4094
VL - CAS-33
SP - 261
EP - 267
JO - IEEE Transactions on Circuits and Systems
JF - IEEE Transactions on Circuits and Systems
IS - 3
ER -