International Journal of applied mathematics and computer science

online read us now

Paper details

Number 1 - March 2009
Volume 19 - 2009

Positive 2D discrete-time linear Lyapunov systems

Przemysław Przyborowski, Tadeusz Kaczorek

Abstract
Two models of positive 2D discrete-time linear Lyapunov systems are introduced. For both the models necessary and sufficient conditions for positivity, asymptotic stability, reachability and observability are established. The discussion is illustrated with numerical examples.

Keywords
positivity, Lyapunov systems, reachability, observability

DOI
10.2478/v10006-009-0009-3