STABILITY AND THE MATRIX LYAPUNOV EQUATION FOR DISCRETE 2-DIMENSIONAL SYSTEMS.

Brian D.O. Anderson; Panajotis Agathoklis; E. I. Jury; M. Mansour

doi:10.1109/tcs.1986.1085912

STABILITY AND THE MATRIX LYAPUNOV EQUATION FOR DISCRETE 2-DIMENSIONAL SYSTEMS.

Brian D.O. Anderson^*
, Panajotis Agathoklis
, E. I. Jury
, M. Mansour

^*Corresponding author for this work

School of Engineering

Research output: Contribution to journal › Article › peer-review

190 Citations (Scopus)

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, it is proven that such existence is not necessary for stability, disproving a long-standing conjecture.

Original language	English
Pages (from-to)	261-267
Number of pages	7
Journal	IEEE Transactions on Circuits and Systems
Volume	CAS-33
Issue number	3
DOIs	https://doi.org/10.1109/tcs.1986.1085912
Publication status	Published - 1986

Access to Document

10.1109/tcs.1986.1085912

Cite this

@article{6ed305ec1fe049e993fe9ca8bb5eab07,

title = "STABILITY AND THE MATRIX LYAPUNOV EQUATION FOR DISCRETE 2-DIMENSIONAL SYSTEMS.",

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, it is proven that such existence is not necessary for stability, disproving a long-standing conjecture.",

author = "Anderson, \{Brian D.O.\} and Panajotis Agathoklis and Jury, \{E. I.\} and M. Mansour",

year = "1986",

doi = "10.1109/tcs.1986.1085912",

language = "English",

volume = "CAS-33",

pages = "261--267",

journal = "IEEE Transactions on Circuits and Systems",

issn = "0098-4094",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

number = "3",

}

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 - https://www.scopus.com/pages/publications/0022690259

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 -

STABILITY AND THE MATRIX LYAPUNOV EQUATION FOR DISCRETE 2-DIMENSIONAL SYSTEMS.

Abstract

Access to Document

Other files and links

Fingerprint

Cite this