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

Date

Authors

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

Journal Title

Journal ISSN

Volume Title

Publisher

Access Statement

Research Projects

Organizational Units

Journal Issue

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.

Description

Keywords

Citation

Source

IEEE Transactions on Circuits and Systems

Book Title

Entity type

Publication

Access Statement

License Rights

Restricted until